Answer:
the last one is not part of the proof, because it's not SSS it's SAS.
Answer:
D
Step-by-step explanation:
it is incorrect the answer is SAS
what is (-3/5) + 1/3 in fraction
Answer:
-4/15
Step-by-step explanation:
-3/5 = -9/15
1/3 = 5/15
(-9/15) + 5/15 = -4/15
Hope this helps :)
Answer:
- 4/15
Step-by-step explanation:
1) Remove parentheses.
-3/5 + 1/3
2) Simplify.
- 4/15
This is a picture of a cube and the net for the cube.
What is the surface area of the cube?
Responses
30 cm²
30 cm²
70 cm²
70 cm²
125 cm²
125 cm²
150 cm²
150 cm²
A cube and a net of the cube are shown. The edge length of the cube is labeled 5 centimeters. The net consists of 4 squares connected vertically, and 1 square is attached to the left of the third square and 1 square is attached to the right of the third square. One square in the net is labeled with a side labeled 5 centimeters.
The surface area of the cube is 1536 ft².
We have,
The cube can be seen as 6 square areas in the net.
So,
The surface area of the cube.
= 6 x area of one square surface.
Now,
Side = 16 ft
Area of one square surface.
= side²
= 16²
= 256 ft²
Now,
The surface area of the cube.
= 6 x area of one square surface.
= 6 x 256
= 1536 ft²
Thus,
The surface area of the cube is 1536 ft².
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Sarah predicted that she could text 80 words
per minute on her phone. However, she only
texted 52 words per minute. What was Sarah's
percent error?
Prediction Actual |
| Actual |
Round to the nearest percent.
Hint: Percent error =
-
x 100
Answer:
20
Step-by-step explanation:
percentage error = predictions - actual ÷actual × 100
error
\( \frac{82 - 52 \\ }{52} \times 100\)
=
20
In a pre algebra class containing 43 students, there are 4 freshman, 35 sophomores, and 4 juniors. what fraction of the class are sophomores
The fraction of the class that is sophomores is \(35/43\).
The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.
Number of sophomores = 35
Total number of students = 43
Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)
Fraction of sophomores \(= 35 / 43\)
Therefore, the fraction of the class that are sophomores is = \(35/43\).
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A total of 12 runners complete in a race. The first three runners to cross the finish line will win medals. and how many different arrangements can the three medals be awarded?
A. 1,320
B. 79,833,600
C. 1,728
D. 220
Show that ABC is right triangle A(-7,-2), B(-3,-3) C(-4,-7)
Answer:
Step-by-step explanation:
slope of AB = (-3 - (-2)) / (-3 -(-7) = -1/4
slope of BC = (-3 - (-7)) / (-3 -(-4) = 4/1
As the slopes of AB and BC are negative reciprocals of each other, they are perpendicular and therefore triangle ABC is a right triangle.
you have 51 coins in your pocket, all dimes and quarters. You have $10.20. How many dimes and quarters do you have?
To find the number of dimes and quarters, you have 17 dimes and 34 quarters in your pocket , when there are 51 coins in your pocket.
To solve this problem, we can set up a system of equations using the given information. Let's use "d" to represent the number of dimes and "q" to represent the number of quarters.
We know that there are 51 coins in total, so we can write the equation: d + q = 51.
We also know that the total value of the coins is $10.20, which can be expressed as 10d + 25q (since dimes are worth 10 cents and quarters are worth 25 cents). So our second equation is: 10d + 25q = 1020.
To solve this system of equations, we can use substitution or elimination. Let's use substitution:
Rearrange the first equation to solve for d: d = 51 - q.
Substitute this expression for d in the second equation: 10(51 - q) + 25q = 1020.
Simplify and solve for q: 510 - 10q + 25q = 1020.
Combine like terms: 15q = 510.
Divide both sides by 15: q = 34.
Now substitute this value back into the first equation to solve for d: d + 34 = 51.
Subtract 34 from both sides: d = 17.
Therefore, you have 17 dimes and 34 quarters.
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{6x[3+(4-2)]-10}+5
How can I solve
Answer:
5(6x-1)
Step-by-step explanation:
Step 1 Subtract the numbers:
6x[3+(4-2)]-10+5
6x[3+(2))]-10+5
Step 2 Add the Numbers:
6x[3+2]-10+5
6x[5]-10+5
Step 3 Multiply the Numbers:
6x*5-10+5
30x-10+5
So the answer is 5(6x-1).
Hope You understand.
The junior varsity football
team scored 23 points in last Saturday’s
game. They scored a combination of 7-
point touchdowns and 3-point field goals.
How many touchdowns and how many
field goals did they score?
Answer:
2 touchdowns, 3 field goals
Step-by-step explanation:
The number of touchdowns cannot be more than 3, so it is relatively easy to find the solution by trial and error.
23 is not divisible by 3, so 0 touchdowns is not a solution
23 -7 = 16 is not divisible by 3, so 1 touchdown is not a solution
23 -14 = 9 is divisible by 3, so 2 touchdowns and 3 field goals is a solution
21 -21 = 2 is not divisible by 3, so there is only one solution.
Answer:
1 touchdown and 3 field goals
How many solutions does this system have? no solutions one unique solution O O two solutions O or an infinite number of solutions
Answer:
no solutions
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
equation of blue line is y = x + 2 , in slope- intercept form
with slope m = 1
equation of red line is y = x - 3 , in slope- intercept form
with slope m = 1
• Parallel lines have equal slopes
then the blue and red lines are parallel.
the solution to the system is at the point of intersection of the 2 lines
since the lines are parallel then they do not intersect each other.
thus the system shown has no solution.
There are 572 full-service restaurants in Vermont. The mean number of seats per restaurant is 65.7. [Source: Data based on the 2002 Economic Census from U.S. Census Bureau.] Suppose that the true population mean mu = 65.7 and standard deviation sigma = 20.8 are unknown to the Vermont tourism board. They select a simple random sample of 55 full-service restaurants located within the state to estimate mu. The mean number of seats per restaurant in the sample is M = 69.9, with a sample standard deviation of s = 19.1. The standard deviation of the distribution of sample means (that is, the standard error, sigmaM) is _________ . (Note: Although mu and sigma are unknown to the Vermont tourism board, they are known to you for the purposes of calculating these answers.)
Answer:
The standard deviation of the distribution of sample means (that is, the standard error, sigmaM) is 2.8.
Step-by-step explanation:
The standard error, the standard deviation of the sample means, can be calculated as:
\(\sigma_M=\dfrac{\sigma}{\sqrt{n}}\)
In this case, we know the population standard deviation, so we will use it to calculate the standard error.
If we only know the sample standard deviation, we have to estimate the standard error from the sample standard deviation.
\(\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{20.8}{\sqrt{55}}=\dfrac{20.8}{7.4}=2.8\)
name the quadrilateral with 2 pairs of consecutive congruent sides with diagonals that meet at a right angle
The quadrilateral you're describing is a Kite. A kite is a quadrilateral with two pairs of consecutive congruent sides, and its diagonals meet at a right angle.
2 What is the sum of 5x2 + 3x - 7 and 12x + 12? A. 5x2 + 15x + 5 B. 5x2 + 15x + 19 C. 17x2 + 3x + 5 D, 17x2 + 15x + 12 4 E. 20x" + 5
Each volleyball set costs $63.74.
Which equation represents the cost, c, of n sets?
The equation that represents the cost, c, of n sets is c = 63.74n
Which equation represents the cost, c, of n sets?from the question, we have the following parameters that can be used in our computation:
Each volleyball set costs $63.74.
Let the total number of sets be n
So we have
Cost of n = 63.74 * n
This gives
c = 63.74n
Hence, the equation is c = 63.74n
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Determine the measure of the unknown variables
Answer:
27°Step-by-step explanation:
Let's create an equation:
\(5y = 135\)
( Being vertically opposite angles)
Now, let's solve
Divide both sides of the equation by 5
\( \frac{5y}{5} = \frac{135}{5} \)
Calculate
\( y = 27\)
Hope this helps...
Best regards!!
Fatima has 2 gallons of milk. She wants to pour all the milk into glasses which each hold 1 cup ( 116 gallon).
How many glasses can she fill?
Answer:
32 Glasses
Step-by-step explanation:
There is 4 cups in a quart which means there is 16 cups in a gallon which if there is 2 gallons there would be 32 cups. :)
) F= {mango, apple) is a given set of fruits. (i) Find the number of subsets of the set F by using formula. (ii) Write all possible subsets of the set F (iii) Among these subsets, which one is the improper subset? Write with reason.
The total number of subsets is 128 and the total number of proper subsets is 127 and this can be determined by using the given data.
Given :
The set of days of the week.
The following steps can be used in order to determine the number of subsets and the number of proper subsets:
Step 1 - According to the given data, the set is given below:
S = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}
Step 2 - Now, the total number of subsets is given by the formula where 'n' is the number of elements of the set.
The total number of subsets is 128.
Step 3 - Now, the total number of proper subsets is given by the formula where 'n' is the number of elements of the set.
The total number of proper subsets is 127.
a) The total number of subsets is 128.
b) The total number of proper subsets is 127.
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complete question:
Find (a) the number of subsets and (b) the number of proper subsets of the set.
The set of days of the week.
(a) The number of subsets is
(b) The number of proper subsets is
answer this guys i will give brainliest! have a good day !!!
The ratios are;
Sin θ = 5/6
Cos θ = √11/6
Tan θ = 5√11/11
Sec θ = 6√11/11
Cosec θ = 6/5
Cot θ = √11/5
What are the six trigonometric ratios?These trigonometric ratios are used to relate the angles of a right triangle to the lengths of its sides
We can see that the hypotenuse is obtained from;
x =√\((10)^2 + (2\sqrt{} 11)^2\)
x = √100 + 44
x = 12
Then;
Sin θ = 10/12 = 5/6
Cos θ = 2√11/12
= √11/6
Tan θ = 10/2√11
= 20√11/44
= 5√11/11
Sec θ = 1/Cos θ
= 6/√11
= 6√11/11
Cosec θ = 1/Sin
θ = 6/5
Cot θ = 1/tan θ
= 11/ 5√11
= 55√11/275
= √11/5
Sinβ = 2√11/12
= √11/6
Cos β = 10/12
= 5/6
Tan β = 2√11/10
= √11/5
Sec β = 6/5
Cosec β = 6√11/11
Cot β = 5√11/11
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A right angled triangle has a second angle equal 24 degrees. The side adjacent to this angle is 3,7 metres long. How long are the hypotenuse and opposite sides? (3)
really need help with this problem
Answer:
Step-by-step explanation:
tan30 = opp/adj = x/1
x = tan30 = ⅓√3 or approximately 0.577
5(10v-8w+4) as a distributive property
Using distributive property, the solution to the given expression is: 50v - 40w + 20
How to use distributive property?The Distributive Property is a term which is an algebra property which is used to multiply a single term and two or more terms inside a set of parentheses.
For example:
4(3 + 5)
According to the distributive property, you first have to multiply out the bracket to get:
4*3 + 4*5 = 12 + 20
= 32
Thus:
5(10v - 8w + 4) = (5 * 10v) - (5 * 8w) + (5 * 4)
= 50v - 40w + 20
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R(-9, 4) and S(2, -1); Find T.
Answer:
AYYYYYYYYYYYYYYYYYYYYY
Step-by-step explanation:
in a poll 267 students voted. nominee c received 2/3 of the votes. how many votes did nominee c receive?
Answer:
89
Step-by-step explanation:
2/3 times 267 is 178 after that you have to sub 178 from 267
A manufacturer knows that their items have a normally distributed length, with a mean of 18.2 inches, and standard deviation of 3.9 inches. If 2 items are chosen at random, what is the probability that their mean length is less than 21.9 inches
Answer:
0.9099 = 90.99% probability that their mean length is less than 21.9 inches.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 18.2 inches, and standard deviation of 3.9 inches.
This means that \(\mu = 18.2, \sigma = 3.9\)
2 itens:
This means that \(n = 2, s = \frac{3.9}{\sqrt{2}}\)
What is the probability that their mean length is less than 21.9 inches?
This is the p-value of Z when X = 21.9. So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{21.9 - 18.2}{\frac{3.9}{\sqrt{2}}}\)
\(Z = 1.34\)
\(Z = 1.34\) has a p-value of 0.9099.
0.9099 = 90.99% probability that their mean length is less than 21.9 inches.
Is x²-5x+3=0 is a linear equations?
Answer:
No, the equation is not a linear equation.
Step-by-step explanation:
There is the x^2 thing that doesn't make it a linear equation.
Kelsey used the similarity statement rst and rub to describe the triangles below
Answer:
what and hi i also need help
Step-by-step explanation:
Answer:
we need a picture then I can help
Calculate the area of the figure below using the following information:
Area of triangle ABC = 23.85 square units
Area of triangle ACD = 29.4 square units
Area of triangle AED = 26.25 square units
The area of the given polygon ABCDE divided into three triangles ABC, ACD and AED is 79.5 sq. units.
What is a polygon?
A polygon is a closed figure or shape formed using line segments. Smallest polygon is a triangle containing three sides. On the basis of its sides polygons are classified as triangle, quadrilateral, pentagon, hexagon, heptagon, octagon etc. The sum of interior angles of a polygon is found by the formula (n-2)180 , where 'n' refers to the number of sides in a polygon. The sum of exterior angles of any polygon is always equal to 360°. The area of any irregular or regular polygon may be evaluated by dividing the given shape into standard shapes like square, rectangle, triangle etc and then adding up the areas of all shapes.
Here the given pentagon ABCDE is further divided into three triangles,
ABC, ACD and AED
Also given the areas of triangles:
area of ΔABC = 23.85 sq. units
area of ΔACD = 29.40 sq. units
area of ΔAED = 26.25 sq. units
∴The area of given figure= Sum of the areas of ΔABC, ΔACD and ΔAED
=area of ΔABC+area of ΔACD+area of ΔAED
=23.85+ 29.40+26.25
=79.5 sq. units.
The area of the given figure is 79.5 sq. units
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Refer to the attached figure below for complete question.
The following angles are supplementary to each other.
m∠C = (x + 19)° and m∠D = (3x − 19)°
Determine x.
60
45
38
19
Answer:
45
Step-by-step explanation:it gives you the answer chiices if you plug each number into x and then do the equation you will get 180
Answer: 45
Step-by-step explanation:
Did the test.
The singularity of a galactic dying star creates a 4th dimensional outbreak. how would you deter the event horizon. if the expansion of the black hole is 1.0034ct per second.
current mass- 2.078 wid
mass of singularity- 00.01 wid
zero light emission, even horizon as of zero known to occur
What is the maximum volume of a pyramid that can fit inside a cube with sides that are 18 cm long?
Answer:
972 cm³
Step-by-step explanation:
the maximum volume is
⅓×18³= 972 cm³