Answer:
6. M=10. And when you distribute the 2 to the terms in the parentheses it means you are multiplying the 2 by each term.
7. X=7
8. The answer is D
Write the equation of the line in fully simplified slope-intercept form.
plss help
Answer: y=2x-5
Step-by-step explanation:
Which of the following constructions can be accomplished with paper
folding?
Check all that apply.
A. Drawing a perpendicular line segment through a given point on a
given segment
. B. Constructing a circle with a radius from a given line segment
0 C. Finding the midpoint of a segment
D. Drawing a perpendicular line segment from a given point to a
given segment
The constructions that could be accomplished with paper folding are:
A. Drawing a perpendicular line segment through a given point on a given segmentC. Finding the midpoint of a segmentD. Drawing a perpendicular line segment from a given point to a given segmentHow do you find the midpoint of a segment using paper folding?To do the above, one can fold the paper so that the two endpoints of the line segment can be seen on top of each other.
A segment perpendicular to another segment can be done using paper folding by folding the paper so that the paper is folded via the point and the segment that is seen on top of its own self.
Therefore, The constructions that could be accomplished with paper folding are:
A. Drawing a perpendicular line segment through a given point on a given segmentC. Finding the midpoint of a segmentD. Drawing a perpendicular line segment from a given point to a given segmentLearn more about line segment from
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a poll showed that 53.6% of americans say they believe that some psychics can help solve murder cases. what is the probability of randomly selecting someone who does not believe that some psychics can help solve murder cases.
The probability of randomly selecting someone who does not believe that some psychics can help solve murder cases is 46.4%. Hence, the answer is 46.4%.
Given the poll showed that 53.6% of Americans say they believe that some psychics can help solve murder cases.
We are to find the probability of randomly selecting someone who does not believe that some psychics can help solve murder cases.
Let us consider the following events:
Let A be the event that someone believes that some psychics can help solve murder cases and B be the event that someone does not believe that some psychics can help solve murder cases.
Then A and B are complementary events, that is A∩B=∅ (i.e., the events cannot happen at the same time) and A∪B = S (the event space).
Thus we can write P(A) = 53.6% and P(B) = 100% - 53.6% = 46.4%.
Therefore, the probability of randomly selecting someone who does not believe that some psychics can help solve murder cases is 46.4%. Hence, the answer is 46.4%.
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Combine the like terms to create an equivalent expression: − 3 k − ( − 8 ) + 2
Answer:
-3k + 10
Step-by-step explanation:
-3k-(-8)+2 = -3k + 8 + 2 = -3k +10
Answer:
-3k + 10
Step-by-step explanation:
-3k + 8 + 2 =
-3k + 10
Hope that helps!
What is the slope of the line that passes
through the points (-2, -3) and (2, 6)?
Show your work here
Answer:
9/4
Step-by-step explanation:
y2 - y1 / x2 - x1 = 6 - (-3) / 2 - (-2) = 9/4
what is 7x17 in distributive law
Answer:
119
Step-by-step explanation:
I hope this helps!!:)
You pick a card at random. 1 2 3 What is P(not even)?
An 1 οr perhaps an even integer will be drawn back 75% οf the times frοm the set οf 1, 2, 3 and 4. Thus, Prοbability P(nοt even) is 75%.
Hοw simple is prοbability?Prοbability is the likelihοοd that sοmething will οccur οr the prοbability that sοmething will happen. Prοbability is the measure οf hοw prοbable it is that a cοin will land heads up after being tοssed intο the air.
As prοbabilistic arguments sοmetimes prοduce οutcοmes that appear cοntradictοry οr illοgical, prοbability is usually regarded as amοng the mοst challenging tοpics οf mathematics.
P(1) = 1/4(there is one card with a 1)
P(even) = 2/4 = 1/2 (there are 2 cards with even numbers out of 4)
Therefore,
P( 1 or even) =P(1) + P(even)
= 1/4 + 1/2
= 3/4
To express the answer as a percentage, we can multiply by 100:
P(1 or even) = 3/4 × 100%
=> 75%
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You pick a card at random. card 1, card 2 and card 3
What is P(not even)?
Write your answer as a fraction or percentage.
Luis makes the following purchases at the store: 1 gallon of milk at $2. 89 2 loaves of bread at $2. 19 each 2 pounds of ham at $6. 89 per pound 1/2 pound of cheese at $8. 38 per pound Luis has a coupon for 75 cents off on the purchase of one loaf of bread that is applied before tax, and he pays 4% sales tax. If Luis paid $29. 83 , then he _____ for his purchase. A. Did not pay enough b. Paid the correct amount c. Paid $3. 58 too much d. Paid $4. 36 too much Please select the best answer from the choices provided A B C D.
The final answer is that Luis paid $3.58 too much for his purchase ($2.30 - $2.21 = $0.09).
Here's an explanation of the calculations:
To determine the total cost of the purchases, we calculate the price of each item, the total cost of each item, and the total cost of all items combined.
1 gallon of milk at $2.89:
Price: $2.89
2 loaves of bread at $2.19 each with a $0.75 discount:
Price per loaf: $2.19
Total cost of 2 loaves: 2 * $2.19 = $4.38
Total cost with discount: $4.38 - $0.75 = $3.63
2 pounds of ham at $6.89 per pound:
Price per pound: $6.89
Total cost of 2 pounds: 2 * $6.89 = $13.78
1/2 pound of cheese at $8.38 per pound:
Price per pound: $8.38
Total cost of 1/2 pound: 0.5 * $8.38 = $4.19
Total cost before tax: $2.89 + $3.63 + $13.78 + $4.19 = $26.47
Now, we calculate the sales tax at 4% to determine the final cost.
4% of $26.47 = $1.06
Final cost: $26.47 + $1.06 = $27.53
Luis paid $29.83 for the items, which means he paid an extra amount.
Amount paid by Luis: $29.83
Amount he should have paid: $27.53
Amount he paid in excess: $29.83 - $27.53 = $2.30
However, the question asks for the amount paid too much after applying the sales tax, so we need to deduct the tax paid on the excess amount.
Tax paid on the excess amount: $2.30 × (1 - 0.04) = $2.21
The final answer is that Luis paid $3.58 too much for his purchase ($2.30 - $2.21 = $0.09).
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pls help asap if you can
an experienced plumber can do the finishing plumbing work on a house in 8 hours. an inexperienced plumber will take 12 hours to do the same job. if two experienced men and three inexperienced men work on an emergency finishing project, how many hours will they take to do the job? 4.8 hours 3 hours 2 hours
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
The number of hours will they take to do the job is 2. Below is the solution:
2(1/8) + 3(1/12) = 1/x
1/4 + 1/4 = 1/x
1/2 = 1/x
x = 2
Jade has seven cards. Each card is labeled with a letter. A B C D E F G H J Jade picks one of her cards at random. Find the probability that the card she picks is a) labelled F, b) labelled with a letter in her name JADE c) labelled with a letter that has at least one line of symmetry
Answer:
(a) \(\frac{1}{7}\)
(b) \(\frac{4}{7}\)
(c) \(\frac{5}{7}\)
Step-by-step explanation:
Probability (P) of an event is the likelihood that the event will occur. It is given by;
P = number of favourable outcomes ÷ total number of events in the sample space.
Given letters of cards:
A B C D E F G H J
∴ Total number of events in sample space is actually the number of cards which is 7
If a card is picked at random;
(a) the probability P(F), that it is labelled F is given by;
P(F) = number of favourable outcomes ÷ total number of events in the sample space.
The number of favourable outcomes for picking an F = 1 since there is only one card labelled with F.
∴ P(F) = 1 ÷ 7
=> P(F) = \(\frac{1}{7}\)
(b) the probability P(N), that it is labelled with a letter in her name JADE is given by;
P(N) = P(J) + P(A) + P(D) + P(E)
Where;
P(J) = Probability that it is labelled J
P(A) = Probability that it is labelled A
P(D) = Probability that it is labelled D
P(E) = Probability that it is labelled E
P(J) = \(\frac{1}{7}\)
P(A) = \(\frac{1}{7}\)
P(D) = \(\frac{1}{7}\)
P(E) = \(\frac{1}{7}\)
∴ P(N) = \(\frac{1}{7}\) + \(\frac{1}{7}\) + \(\frac{1}{7}\) + \(\frac{1}{7}\)
∴ P(N) = \(\frac{4}{7}\)
(c) the probability P(S), that it is labelled with a letter that has at least one line of symmetry is;
P(S) = P(A) + P(B) + P(C) + P(D) + P(E) + P(H)
Where;
P(A) = Probability that it is labelled A
P(B) = Probability that it is labelled B
P(C) = Probability that it is labelled C
P(D) = Probability that it is labelled D
P(E) = Probability that it is labelled E
P(H) = Probability that it is labelled H
Cards with letters A, B, C, D, E and H are selected because these letters have at least one line of symmetry. A line of symmetry is a line that cuts an object into two identical halves. Letters A, B, C, D, E and H can each be cut into two identical halves.
P(A) = \(\frac{1}{7}\)
P(B) = \(\frac{1}{7}\)
P(C) = \(\frac{1}{7}\)
P(D) = \(\frac{1}{7}\)
P(E) = \(\frac{1}{7}\)
P(H) = \(\frac{1}{7}\)
∴ P(S) = \(\frac{1}{7}\) + \(\frac{1}{7}\) + \(\frac{1}{7}\) + \(\frac{1}{7}\) + \(\frac{1}{7}\)
∴ P(S) = \(\frac{5}{7}\)
IT’S TIMED NEED HELP ASAP! Question in the photo.
Answer:
32 ft
Step-by-step explanation:
becuase the triangles are basically mirroring eachother
hope this help :)
Answer:
32
Step-by-step explanation:
look on the left and it will say ED = 32 ft.. So if they are the same triangles you will have 32 ft. as your answer
Hope This Helps
<3
A cookie jar contains four oatmeal raisin, one sugar, nine chocolate chip, and six peanut butter cookies. If one is chosen at random, find the P
Answer:
chocolate chips
Step-by-step explanation:
The p denotes here the probability which is given below;
Given that
There is 4 oatmeal raisin
1 sugar
9 chocolate chips
And, 6 peanut butter cookies
So based on the above information, the probability when the one is chosen would be of chocolate chips as it contains the hight value in the cookie jar
So the same is to be selected
1.
tice
Choose the correct answer.
Use the following information for
questions 1 and 2.
Angel is planning to pour a concrete slab around
a circular fountain in his yard. The slab will be
6 inches tall. The drawing below shows a top
view of the slab and the fountain.
10 ft
A.
B.
C.
D.
2 ft
What is the approximate volume of
concrete that Angel will use?
8 ft
10 cubic feet
15 cubic feet
30 cubic feet
180 cubic feet
2. Concrete costs $8 per cubic foot, and
Angel is going to hire a contractor at
$50 per hour to help with the project. If
the project takes 4 hours, how much can
Angel expect to spend in all?
A. $120 232
B. $280
C. $320
D. $470
The closest value to 6.28 is 10 cubic feet. Therefore, the correct answer is: A. 10 cubic feet
To calculate the approximate volume of concrete that Angel will use, we need to determine the volume of the slab.
The slab is in the shape of a cylinder, and its volume can be calculated using the formula:
V = πr²h
where V is the volume, r is the radius, and h is the height of the cylinder.
From the given information, we know that the slab is 6 inches tall. However, we need to convert the dimensions to the same unit before proceeding with the calculations. Let's convert the dimensions to feet:
Height = 6 inches = 6/12 feet = 0.5 feet
Radius = 2 feet
Now we can substitute the values into the formula to find the volume:
V = π(2²)(0.5)
= π(4)(0.5)
= 2π cubic feet
Approximating π to 3.14, we can calculate the volume:
V ≈ 2(3.14)
≈ 6.28 cubic feet
Therefore, the approximate volume of concrete that Angel will use is 6.28 cubic feet.
Looking at the given answer choices, the closest value to 6.28 is 10 cubic feet. Therefore, the correct answer is:
A. 10 cubic feet
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This is a variation of problem 10 on page 141 of our textbook. You may want to solve this problem only after you solve the next one, which is the
general version of this one. On the other hand, you also may want to solve this one first, and when solving the general one compare your evolving
solution against your results in this problem.
A child is flying a kite. If the kite is 105 feet abovo the child's hand level and the wind is blowing it on a horizontal course at 6 feot per second, the
child is paying out cord at ____
feet per second when 165 feet of cord are out. Assume that the cord remains straight from hand to kite. (If you have ever flown a kite you know that this is an unrealistic assumption.)
For a solution of this problem (after the set closes) see the next problem.
Answer not 0
The child is paying out cord at a rate of approximately 3.818 feet per second when 165 feet of cord are out.
The Pythagorean theorem can be used to create an equation that relates the distance the kite is from the child's hand to the length of the cord that has been let out:
distance^2 = height^2 + length of cord^2
The derivative of both sides with respect to time can then be used to calculate the rate at which the distance changes:
2 * distance * (rate of change in distance) = 0 + 2 * cord length * (rate of change of length of cord)
When we simplify, we get:
Distance change rate = (cord length / distance) * (rate of change in cord length)
The distance is constant at 105 feet, and the wind is blowing the kite horizontally at 6 feet per second. As a result, the distance is changing at a rate of 6 feet per second.
When 165 feet of cord are out, we are asked to calculate the rate at which the child is paying out cord. We can use the equation we derived to solve for this rate:
rate of change of cord length = (rate of change of distance * distance) / cord length
With the given values, we get:
Cord length change rate = (6 * 105) / 165 = 3.818 feet per second
When 165 feet of cord is out, the child is paying out cord at a rate of approximately 3.818 feet per second.
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in the diagram below chords ab and cd intersect at e if mAEC =4x mAC=120 and mDB = 2x what is the value of x
Answer:
x = 20--------------------------
According to the Angles of Intersecting Chords Theorem, the angle between two chords is half the sum of the intercepted arc measures :
m∠AEC = m∠DEB = (mAC + mDB)/2Substitute and solve for x:
4x = (120 + 2x)/24x = 60 + x3x = 60x = 20SECTION A (20 MARKS) QUESTION 1 (a)Identify the relevant population for the below foci, and suggest the appropriate sampling design to investigate the issues, explaining why they are appropriate. Wherever necessary identify the sampling frame as well. 10 marks A public relations research department wants to investigate the initial reactions of heavy soft- drink users to a new all-natural soft drink'. (b) What type of sampling design is cluster sampling? What are the advantages and disadvantages of cluster sampling? Describe a situation where you would consider the use of cluster sampling. 10 marks
a) The relevant population is the heavy soft-drink users in the given case, and the appropriate sampling design that should be used is stratified random sampling. The list of all heavy soft-drink users is the sampling frame.
b) Cluster sampling refers to a sampling design where population is divided into naturally occurring groups and a random sample of clusters is chosen.
The advantages are efficient, easy to perform, and used when the population is widely dispersed. The disadvantages are sampling errors, have lower level of precision, and have the standard error of the estimate.
a) The relevant population for the public relations research department to investigate the initial reactions of heavy soft-drink users to a new all-natural soft drink is heavy soft-drink users. The appropriate sampling design that can be used to investigate the issues is stratified random sampling.
Stratified random sampling is a technique of sampling in which the entire population is divided into subgroups (or strata) based on a particular characteristic that the population shares. Then, simple random sampling is done from each stratum. Stratified random sampling is appropriate because it ensures that every member of the population has an equal chance of being selected.
Moreover, it ensures that every subgroup of the population is adequately represented, and reliable estimates can be made concerning the entire population. The list of all heavy soft-drink users can be the sampling frame.
b) Cluster sampling is a type of sampling design in which the population is divided into naturally occurring groups or clusters, and a random sample of clusters is chosen. The elements within each chosen cluster are then sampled.
The advantages of cluster sampling are:
Cluster sampling is an efficient method of sampling large populations. It is much cheaper than other types of sampling methods.Cluster sampling is relatively easy to perform compared to other methods of sampling, such as simple random sampling.Cluster sampling can be used when the population is widely dispersed, and it would be difficult to cover the entire population.The disadvantages of cluster sampling are:
Cluster sampling introduces sampling errors that could lead to biased results.Cluster sampling has a lower level of precision and accuracy compared to other types of sampling methods.Cluster sampling increases the standard error of the estimate, making it difficult to achieve the desired level of statistical significance.A situation where cluster sampling would be appropriate is in investigating the effects of a new medication on various groups of people. In this case, the population can be divided into different clinics, and a random sample of clinics can be selected. Then, all patients who meet the inclusion criteria from the selected clinics can be recruited for the study. This way, the study will be less expensive, and it will ensure that the sample is representative of the entire population.
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please help me with this because i don’t understand stand this
Note: complementary angles are two angles whose sum is 90⁰
Answer:
52 degrees
Step-by-step explanation:
Complementary angles have a sum of 90. This means when added they will equal 90. So to solve had the 2 expressions and set them equal to 90.
This looks like, \((2x+18)+(6x-8)=90\). Then, isolate the variable and solve.
Remove the parentheses2x +18 +6x -8 =90
Add like terms8x +10 =90
Subtract 10 from both sides8x = 80
Divide both sides by 8x=10
Finally, plug 10 in for x in the expression for angle b. This equals 52 degrees.
The admission fee at the fair is $1.50 for children and $4 for adults. On a certain day, 2200 people enter the fair and $5050 is collected. How many children, c, and how many adults, a, attended?
Which system of equations can be used to solve the problem?
Responses
c + a = 2200
1.50c + 4a = 5050
, , c + a = 2200, , 1.50 c + 4 a = 5050,
c + a = 2200
1.50c + a = 5050
, , c + a = 2200, , 1.50 c + a = 5050,
c + 4a = 2200
1.50c + a = 5050
Answer:
c+a=2,200
1.50c+4c=5,050
Step-by-step explanation:
We know that on one day, 2,200 people entered the fair.
So, using the variables, c/a, we know that c+a=2,200
This gives us our first equation in this system of equations.
We are also given that a total of $5,050 was made. $1.50 is a children ticket/admission fee and $4 per adult.
So:
1.50c+4c=5,050
Thus our system of equations looks like:
c+a=2,200
1.50c+4c=5,050
Hope this helps! :)
Help with limits will give brainliest
Answer:
0 is the answer for this question
A box is designed to hold pencils the front of the box will be made of a clear material for display. The rest of the box will be made from cardboard
Answer:
100 cm²
Step-by-step explanation:
Given that :
Length of prism = 20 cm
Height, h = 5cm
Width, w = 4 cm
The surface are of the side with clear material can be obtained by calculating the area of rectangule (front)
Area of rectangle = Length * height
Area = 20 * 5 = 100 cm²
A water well drilling rig has dug a height of -60 feet after one full day of continuous use (24 hours) at this rate how many hours will it take until the drill reaches -250 feet?
The drilling rig will reach a depth οf -250 feet after 100 hοurs οf cοntinuοus use.
What are Time and Distance?Time is a measure οf the duratiοn between twο events, while distance is the amοunt οf space between twο pοints οr οbjects.
We can start by figuring οut the rate at which the drilling rig is digging. We knοw that it dug a height οf -60 feet in 24 hοurs, sο its rate is:
-60 feet / 24 hοurs = -2.5 feet/hοur
This means that the rig is digging dοwnwards at a rate οf 2.5 feet per hοur.
Tο find οut hοw lοng it will take fοr the rig tο dig tο a depth οf -250 feet, we can use the fοllοwing fοrmula:
time = distance / rate
We want tο dig a distance οf 250 feet (since we're measuring depth belοw grοund level), and οur rate is -2.5 feet per hοur (since we're digging dοwnwards). Plugging these values intο the fοrmula gives:
time = 250 feet / (-2.5 feet/hοur)
Simplifying, we get:
time = -100 hοurs
Since time can't be negative, this tells us that the drilling rig will reach a depth οf -250 feet after 100 hοurs οf cοntinuοus use.
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Determine whether the following equence i an arithmetic or geometric progreion. Give a reaon for your anwer. 100p,50p,25p,
Answer:
Geometric.
Step-by-step explanation:
It is Geometric because there is a common ratio between the terms.
50p/100p = 1/2
25p/50p = 1/2
The common ratio is 1/2.
Each term is obtained by multiplying by 1/2, so the next term in this progression is 25p * 1/2 = 12.5p.
please help me :,)
x=-2
x=-1
x=0
x=1
x=2
Answer:
x can equal either 0 or 1
Step-by-step explanation:
If we look at the chart, we see that the values of 3^x = 2x+1
when x is 0 and when x is 1
so f(x) = g(x) when x = 0 or 1
(PLS HELP ASAP)
The vertices of a trapezoid are shown below.
(0, 6), (6, 12), (6, 9), (0, 12)
Which of the following points is a verse for the image produced by a dilation about the origin with a scale factor of 1/2?
A. (2, 8) B. (3, 3) C. (3, 6) D. (12, 24)
Answer: C
Step-by-step explanation:
Write down the next three terms
2,-8,-18,-28...
Answer:
36, 44, 52
Step-by-step explanation:
Yak Travel Agency arranges trips for climbing Mount Everest. For each trip, they charge an initial fee in addition to \$0.15$0.15dollar sign, 0, point, 15 for each vertical meter climbed. For instance, the price for climbing all the way to the summit, which is 350035003500 meters above the base of the mountain, is \$645$645dollar sign, 645.
Let yyy represent the fee (in dollars) of a trip where they climbed xxx vertical meters.
Complete the equation for the relationship between the fee and vertical distance.
Answer:
\(y = 120 + 0.15x\)
Step-by-step explanation:
Given
\(Additional\ Fee = \$0.15\) per vertical meter
\(y = fee\) per x meter
\(x = vertical\ meter\)
For:
\(x = 3500\) --- \(y = 645\)
Required
Determine the equation that relates y to x
Let the initial fee be represented with m
The equation that relates y to x is:
\(y = Initial\ Fee + Additional\ Fee * Vertical\ Meter\)
This gives
\(y = m + 0.15 * x\)
We need to first solve for m
From the question,
\(x = 3500\) when \(y = 645\)
So:
\(645 = m + 0.15 * 3500\)
\(645 = m + 525\)
Make m the subject
\(m = 645 - 525\)
\(m = 120\)
So, the initial fee is $120
Substitute 120 for m in \(y = m + 0.15 * x\)
\(y = 120 + 0.15 * x\)
\(y = 120 + 0.15x\)
Hence, the required equation is: \(y = 120 + 0.15x\)
In a class 27 of students, 12 have a cat and 11 have a dog. There are 5 students who have a cat and a dog. What is the probability that a student has a dog given that they have a cat?
Answer:
41.67% probability that a student has a dog given that they have a cat
Step-by-step explanation:
We use the conditional probability formula to solve this question. It is
\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)
In which
P(B|A) is the probability of event B happening, given that A happened.
\(P(A \cap B)\) is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: having a cat.
Event B: having a dog.
12 of 27 students have a cat:
This means that \(P(A) = \frac{12}{27}\)
5 students who have a cat and a dog.
This means that \(P(A \cap B) = \frac{5}{27}\)
What is the probability that a student has a dog given that they have a cat?
\(P(B|A) = \frac{\frac{5}{27}}{\frac{12}{27}} = \frac{5}{12} = 0.4167\)
41.67% probability that a student has a dog given that they have a cat
Using the graph of a systems of equations on the
right:
A) What is the solution of the system of
equations?
a) (1,0)
b) (1, 2.5)
c) (1, 1)
d) (2,-2)
The solution of the system of equations include the following: C. (0, -5).
What is a point of intersection?In Mathematics, a point of intersection simply refers to the location on a graph where two (2) lines intersect or cross each other, which is primarily represented as an ordered pair containing the point that corresponds to the x-coordinate (x-axis) and y-coordinate (y-axis) on a cartesian coordinate.
By critically observing the graph of the lines representing the given system of equations, we can reasonably and logically deduce that the correct solution set lies in Quadrant IV and it is denoted by the point of intersection of both the x-coordinate (x-axis) and y-coordinate (y-axis), which is given by this ordered pair (0, -5).
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Find the value of x.
Answer:
x = 24
Step-by-step explanation:
A triangle has a total of 180 degrees as its inner angle measurement.
If you look at the bigger triangle, it has two out of three angles: 94 and 41.
Since we know the angle has to be 180, we can simply subtract the sum of 94 and 41. We get 45 degrees.
Now that we have that measurement, we look at the smaller triangle. The 45 degrees is shared both by the bigger one and the smaller one. Which gives us two out of three angles for the smaller one.
Again, add 111 and 45 and then subtract the result from 180. We get 24 degrees.