Answer:
(a) ∠7 = 47°. Angles 5 and 7 are vertical angles, hence congruent.
(b) 47 +(2x -5) = 180
(c) 69
Step-by-step explanation:
Given angles identified as ∠5, ∠6, ∠7 where two lines cross, and the measure of ∠5 as 47°, you want the measure of ∠7, and an equation and solution when ∠6 is (2x-5).
(a) Vertical anglesAngles that share a vertex and are formed from opposite rays are "vertical angles." They are congruent.
Angles 5 and 7 are vertical angles, so the measure of angle 7 is the same as the measure of angle 5.
∠7 = 47°
(b) Supplementary anglesAngles that form a linear pair are supplementary. This means the sum of angles 5 and 6 is 180°.
∠5 +∠6 = 180°
47° +(2x -5)° = 180°
(c) Solution2x = 138 . . . . . . . . . . . . divide by °, subtract 42
x = 69
I really need help with this
Answer:
Oh Stop!!!! This is sooooooooooooo easy! If you would just pay attention in school and not spend all your time trying to buy the new ipad pro maybe you would not have to go to Branily to get a simple answer! Do you think your teacher would like you cheating like this???? I dont think so. So get of of Branily and start studying!!!!
Step-by-step explanation:
Write
13/8
as a mixed number,
Answer:
1 5/8
Step-by-step explanation:
Answer:
1 and 5/8
Step-by-step explanation:
hdhdbfhfhfvvfvfvfhd
What is the value of x?
(5x - 5)°
8x
(6x - 5)
The value of x in the triangle is 10
What is sum of angle in a triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted by triangle ABC.
The sum of the three angles in a triangle is 180°.
Therefore
(5x - 5)° + 8x + (6x - 5) =180
5x-5+8x+6x-5 = 180
collect like terms
5x+8x+6x-5-5 = 180
19x = 180+10
19x = 190
divide both sides by 19
x = 190/19
x= 10
therefore the value of x is 10
learn more about sum of angle in a triangle from
https://brainly.com/question/25215131
#SPJ1
Mindy has a total of 84 candy bars in a box. If the ratioof Snickers to Twix bars is 5 to 7, how many of thecandies in the box are Snickers?
Answer: 35 snickers candies
Total number of candy bars in a box = 84
The ratio of snickers to twix bars is 5 to 7
let the number of candy = x
Using a common variable formula
Let the number of snickers = 5x
Let the number of twix bars = 7x
Since, the sum of snickers and twix bars = 84
Therefore,
5x + 7x = 84
12x = 84
Divide both sides by 12
12x/12 = 84/12
x = 7
Since, snickers = 5x
Total number of snickers = 5 x7
Total number of snickers = 35
Therefore, we have 35 snickers candies in the box
I need the answer ASAP, i will give you brainliest FR‼️‼️⁉️
Answer:
well for me I think
Step-by-step explanation:
+10
T=-4.3+10
T=5.7°C
Use the image to determine the type of transformation shown.
Graph of polygon VWXYZ with W at point 2 comma 4. A second polygon V prime W prime X prime Y prime Z prime with W prime at point negative 2 comma 4.
Reflection across the x-axis
Reflection across the y-axis
270° counterclockwise rotation
Horizontal translation
The image is reflected over the y-axis. Then the correct option is B.
Given that:
Point of the polygon VWXYZ, W(2, 4)
Point of the polygon V'W'X'Y'Z', W'(-2, 4)
The translation does not change the shape and size of the geometry. But changes the location.
The reflection does not change the shape and size of the geometry. But flipped the image.
The point W' can be obtained by reflecting the shape across the y-axis.
Thus, the correct option is B.
More about the transformation of the shape link is given below.
https://brainly.com/question/27224339
#SPJ1
The missing diagram is given below.
Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion. A person drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 200 times. Here are the observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6, respectively: 29, 31, 49, 37, 26, 28. Use a 0.025 significance level to test the claim that the outcomes are not equally likely. Does it appear that the loaded die behaves differently than a fair die?
The loaded die appears to behave differently from a fair die.Based on the chi-square test, the loaded die does not exhibit equal probabilities for each outcome.
To test the claim that the outcomes of the loaded die are not equally likely, we can use the chi-square goodness-of-fit test. The null hypothesis (H₀) assumes that the outcomes are equally likely, while the alternative hypothesis (H₁) assumes that they are not equally likely.
Step 1: Set up hypotheses
H₀: The outcomes of the die are equally likely.
H₁: The outcomes of the die are not equally likely.
Step 2: Select the significance level
The significance level is given as 0.025, which means we have a two-tailed test and an alpha level of 0.025 for each tail.
Step 3: Compute the test statistic
We calculate the chi-square test statistic using the observed frequencies and the expected frequencies assuming equal probabilities for each outcome.
Expected frequencies (fair die):
1: 200/6 = 33.33
2: 200/6 = 33.33
3: 200/6 = 33.33
4: 200/6 = 33.33
5: 200/6 = 33.33
6: 200/6 = 33.33
Applying the chi-square formula, we get the test statistic:
χ² = ∑((observed - expected)² / expected)
Calculating this value, we get χ² ≈ 13.97.
Step 4: Determine the critical value
Since the significance level is 0.025 and the test is two-tailed, we divide the significance level by 2 to find the critical value associated with each tail. With 5 degrees of freedom (6 categories - 1), the critical value is approximately 11.07.
Step 5: Make a decision
The test statistic (13.97) is greater than the critical value (11.07), which leads us to reject the null hypothesis. Thus, we have evidence to suggest that the outcomes of the loaded die are not equally likely.
The loaded die appears to behave differently from a fair die.
In conclusion, based on the chi-square test, the loaded die does not exhibit equal probabilities for each outcome.
For more such questions die,click on
https://brainly.com/question/31368101
#SPJ8
Which of the following explains why this inequality is true?
7 3/8 × 4/5 < 7 3/8
The answers I have to choose from are:
A. When 7 3/8 is multiplied by a number greater than 1, the product is more than 7 3/8
B. When 7 3/8 is multiplied by a number greater than 1, the product is less than 7 3/8
C. When 7 3/8 is multiplied by a number less than 1, the product is more than 7 3/8
D. When 7 3/8 is multiplied by a number less than 1, the product is less than 7 3/8.
The correct option is B: The result of multiplying 7 3/8 by a number larger than 1 is less than 7 3/8.
Explain about the term mixed fractions:Once kids have a firm grasp on right fractions, they are exposed to mixed numbers and improper fractions.
Divide the numerator and denominator to create a mixed fractions from an incorrect fraction. The solution to this problem is the whole number portion; the leftover portion is the numerator; its denominator stays the same.
We can convert the two fractions to decimal form in order to compare them.
7.375 is equivalent to 7 3/8, and
4/5 is equivalent to 0.8.
7.375 multiplied by 0.8 results in:
7.375 × 0.8 = 5.9
Since the result is 5.9, which is less than 7.375, it follows that 7 3/8 multiplied by 4/5 is less than 7 3/8.
Thus, the result of multiplying 7 3/8 by a number larger than 1 is less than 7 3/8.
Know more about the term mixed fractions:
https://brainly.com/question/1055953
#SPJ1
POSSIBLE POINTS. 1
On the written portion of her driving test, Leslie answered 65% of the questions correctly. If Leslie answered 78 questions correctly, how many questions were on
the driving test?
What part is missing?
O percent
a
ASAP!!!
Answer:
Step-by-step explanation:
PLEASE HELP
Suppose that the functions fand g are defined for all real numbers x as follows.
f(x) = 5x
g(x)=4x-4
Write the expressions for (g.f)(x) and (g-f)(x) and evaluate (g+f)(2).
(g•f)(x) =
(g-f)(x) =
(g+r) (2)=
The transformation T that transposes every matrix is definitely linear. Which of these extra properties are true? (a) T2 = identity transformation. (b) The kernel of T is the zero matrix. (c) Every matrix is in the range of T. (d) T (M) = -M is impossible
Option (a) T2 = identity transformation. (b) The kernel of T is the zero matrix. (c) Every matrix is in the range of T. this are true extra properties.
The transformation T that transposes every matrix is indeed linear.
Let's analyze each of the extra properties:
(a) T² = identity transformation: This is true. When you transpose a matrix twice (apply T twice), you get the original
matrix back.
Step 1: Apply T to a matrix M to get its transpose M'.
Step 2: Apply T to the transpose M' to get (M')' which is equal to M.
(b) The kernel of T is the zero matrix: This is true. The kernel of T consists of all matrices M such that T(M) = 0. Since the
transpose of a zero matrix is still a zero matrix, the kernel of T only contains the zero matrix.
(c) Every matrix is in the range of T: This is true. Given any matrix M, there exists another matrix M' such that T(M') = M.
This is because T(M') = M implies M' = T(M), so the transpose of any matrix M can be found by applying T to M.
(d) T(M) = -M is impossible: This is false. It is possible for T(M) = -M in the case of skew-symmetric matrices. A skew
symmetric matrix M satisfies the property that its transpose M' = -M.
for such more question on matrix
https://brainly.com/question/2456804
#SPJ11
Help The sum of two integers is 10. Their difference is 4.
What are the two integers?
Answer:
7 and 3
Step-by-step explanation:
which integer is greater.
l-5l or l3l
Answer:
l-5l
Step-by-step explanation:
when a number is in those bars, it means you need to find absolute value, which is how far away a number is from 0. so the two numbers are equal to 5 and 3, and 5 is greater, so choose the first one. to find absolute value, just get rid of the signs, and thats your answer. :)
Pls mark brainliest owo
Answer:
l-5l
Explanation:
l-5l = 5
8x + 9y = 3 and x + y = 0
Answer:
x is 3 and y is -3
Step-by-step explanation:
\(x + y = 0 \\ x + y - y = 0 - y \\ x = - y \\ \\ 8x + 9y = 3 \\ (8 \times - y) + 9y = 3 \\ - 8y + 9y = 3 \\ y = 3\)
X = -3
What is the slope of line j?
Answer:
45 degrees glad to Help would like brainliest
Step-by-step explanation:
3. [-/2 Points]
Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.)
4x² + 5x-6
x+2
DETAILS
20
lim
X--2
Write a simpler function that agrees with the given function at all but one point. Use a graphing utility to confirm your result.
g(x)
LARCALC12 1.3.044.
Need Help? Read It
The limit of the function as x approaches -2 is 20.To find the limit of the function (if it exists), we can substitute the given value into the function and simplify. Given function: f(x) = 4x² + 5x - 6x + 2
To find the limit as x approaches -2, we substitute -2 into the function:
f(-2) = 4(-2)² + 5(-2) - 6(-2) + 2
= 4(4) - 10 + 12 + 2
= 16 - 10 + 12 + 2
= 20
Therefore, the limit of the function as x approaches -2 is 20.
To write a simpler function that agrees with the given function at all but one point, we can use a graphing utility. By plotting the given function and observing its behavior, we can create a simpler function that matches the original function except at one point.
However, without further information about the specific behavior of the given function, it is not possible to provide a more detailed explanation or a graph of the simpler function.
For more question on function
https://brainly.com/question/11624077
#SPJ8
1. Which of the sets of terms below does NOT include like terms?
A. 9m, 9m, 7m
B. 1p, -7p, 7p
C. 30, -25, 25
D. 6x, 6y, 6z
9514 1404 393
Answer:
D. 6x, 6y, 6z
Step-by-step explanation:
Like terms have the same set of variables in each term. Choice D has 3 different variables in the 3 different terms, so the terms are not "like" terms.
6x, 6y, 6z
Answer:
D does not include like terms
Step-by-step explanation:
3. A model of a building is made using a scale of 1 in to 50 feet.
What is the height of the actual building if the height of the model is 25 inches?
Answer:
1250 feet
Step-by-step explanation:
1 inch = 50 feet
25 inches = 50 x 25 feet
25 inches = 1250 feet
Please mark brainliest
From 77 books to 128 books
Evaluate 7+2 times 4
Answer:
36
Step-by-step explanation:
7+2= 9
9x4= 36
Simplify and show your work. \((6i)(-2i)(-6-4i)\)
Answer:
- 72 - 48i
Step-by-step explanation:
note that i² = - 1
(6i)(- 2i)(- 6 - 4i)
= - 12i²(- 6 - 4i)
= - 12(- 1)(- 6 - 4i)
= 12(- 6 - 4i) ← distribute parenthesis by 12
= - 72 - 48i
(x-8)^2 i need step by step please like eveyone gets x2 -16x +64 i dont get
how
Answer:
x²-16x+64
use formula =a²-2ab+b²x²-2.x.8+8² (for knowledge 2 × 8 = 16)x²-16x+64Answer:
(x -8)² = x² -16x +64
Step-by-step explanation:
A lot of math is about pattern recognition. For many of the patterns you are asked to recognize, it is helpful to be very familiar with basic math facts: addition facts, multiplication facts, and the squares and cubes of small integers.
All of algebra is based on a few properties of arithmetic and equality. One that is important here is the distributive property.
__
expanding a product of binomialsOne of the patterns that is used with quadratics is the square of a binomial.
(a - b)² = a² -2ab +b²
This is the result of applying the distributive property several times.
First of all, the exponent indicates repeated multiplication:
(a -b)² = (a -b)×(a -b)
The distributive property tells you each term outside parentheses multiplies each term inside:
= a×(a -b) -b×(a -b)
= a·a -a·b -b·a +b·b . . . . . and again
Now, we collect terms, recognizing that ab=ba.
= a² -2(a·b) +b² . . . . . . . using exponents for repeated multiplication
So, the pattern for the square of a binomial is ...
(a -b)² = a² -2ab +b²
__
using the patternFor your specific case, ...
a = xb = 8(x -8)² = x² -2(x)(8) +8² . . . . . . using the above pattern
(x -8)² = x² -16x +64
_____
Additional comment
If you want to do this without using the pattern, just make use of the distributive property:
\((x-8)^2=(x-8)(x-8)\\\\=x(x -8) -8(x-8)\\\\=x^2-8x-(8x-64)\\\\=x^2-8x-8x+64\\\\\boxed{(x-8)^2=x^2-16x+64}}\)
__
While the distributive property is the fundamental property involved, some find it helpful to remember a mnemonic that gets you to the same result for the product of binomials: FOIL. The letters refer to First, Outer, Inner, Last, and they remind you of the terms that make up the expansion of the product:
(x -8)(x -8) -- First: x·x = x²(x -8)(x -8) -- Outer: x·(-8) = -8x(x -8)(x -8) -- Inner: (-8)·x = -8x(x -8)(x -8) -- Last: (-8)(-8) = 64Then the product is ...
(x -8)² = x² -8x -8x +64 = x² -16x +64
__
Of course, the distributive property is involved in what we call "collecting terms."
-8x -8x = (-8-8)x = -16x
The variable is factored out using the distributive property, then the coefficients are added to simplify the expression in parentheses.
Select the correct answer.
Which expression is equivalent to the given expression?
2x² - 14x +24
A. (2x - 12)(x - 2)
B. 2(x - 3)(x - 4)
C. 2(x - 8)(x + 3)
D. 2(x - 5)(x - 2)
Answer: B. 2(x - 3)(x - 4)
Step-by-step explanation:
4(3+c)+c=c+4 ???????????????????????????
Answer: = - 2
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
4(3+4) so you do multiplication because there is a parenthesis and you do the 4 multiply the number that is inside the parenthesis so 4x3 + 4x4 you do that and then multiply it then we will have 12+16 and we add that we get 28 and that’s the answer I hope it helps you
Due in 4 minutes Need help ASAP
Will make you brainlist
Can someone help me graph it and to tell me where to put it?
Answer:
(0, 1) (1/2, 0)
Step-by-step explanation:
weight of mr.x is 85kg in what ratio he reduce his weight if his perent weight is 65kg ?
Mr. X reduces his weight in a ratio of 4:17. This means that for every 4 units of weight he loses, his initial weight was divided into 17 equal parts.
To determine the ratio by which Mr. X reduces his weight, we need to compare his initial weight of 85 kg with his target weight of 65 kg.
The reduction in weight is calculated as the difference between the initial weight and the target weight, which in this case is 85 kg - 65 kg = 20 kg.
The ratio can be expressed as a fraction, where the numerator represents the reduction in weight and the denominator represents the initial weight:
Reduction in weight / Initial weight
Substituting the values, we have:
20 kg / 85 kg
Simplifying the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 5 in this case:
(20 kg / 5) / (85 kg / 5) = 4/17
For such more question on weight:
https://brainly.com/question/25973294
#SPJ8
I bought x cans of fruit cocktail and two more cans of mushrooms than cans of fruit cocktail. A can of mushrooms cost $.80 and a can of fruit cocktail cost $.90. How much money did I spend?
Answer:
0.9x + 0.8(x + 2)
Step-by-step explanation:
# of cans of fruit cocktail: x
# of cans of mushrooms: 2 more than x, or x + 2
$ of can of mushroom: $0.80
$ of can of fruit cocktail: $0.90
To find out how much money you spent, you need to multiply the # of cans by their respective prices. Therefore:
The price of the cans of fruit cocktail = 0.90 * x
= 0.9x
The price of the cans of mushrooms = 0.80 * (x + 2)
= 0.8(x + 2)
Total price = 0.9x + 0.8(x + 2)
Calc II Question
Find the volume of the solid obtained by rotating the region bonded bt the given curves about the specified line.
Y = In x
Y = 1
Y = 2
X = 0
About the Y axis
I dont get this so cant help daughter
1.
We are told that the coordinates of the image are of the formula:
P'(x-2 , y-3) where x and y are the actual points and x-2 and y-3 are the reflections
Finding the coordinates of point A:
We are given that the coordinates of reflection of A are: A'(-4 , 3)
we also know that reflected point follow the formula: P'(x-2 , y-3)
So, the points of A'(-4 , 3) follow the formula P'(x-2 , y-3)
So, their respective x and y coordinates will be equal
Hence,
x - 2 = -4
x = -2 [adding 2 on both sides]
Also,
y - 3 = 3
y = 6 [adding 3 on both sides]
Therefore, the coordinates of A are A(-2,6)
Finding the coordinates of B:
We are given the coordinates of B' are B'(-4 , 2)
So,
x - 2 = -4
x = -2 [adding 2 on both sides]
also,
y-3 = 2
y = 5 [adding 5 on both sides]
Therefore, the coordinates of B are: B(-2,5)
Finding the coordinates of C:
We are given that the coordinates of reflection of C are: C'(-2,3)
Using the general formula given in the question:
x - 2 = -2
x = 0 [adding 2 on both sides]
y - 3 = 3
y = 6 [adding 3 on both sides]
Therefore, the coordinates of C are: C(0,6)
Finally, the coordinates of A, B and C are:
A(-2,6) , B(-2,5) , C(0,6)
__________________________________________________________
2.
Reflecting the pre-image along the x-axis
To reflect along x-axis, we multiply the y-coordinate by -1
Coordinates of the pre-image:
A(-2,6) , B(-2,5) , C(0,6)
Coordinates of points reflected along the x-axis:
A(-2,-6) , B(-2,-5) , C(0,-6)
p+aw=b make w the subject of the formula
Answer: To make "w" the subject of the formula "P+aw=b", we need to isolate "w" on one side of the equation.
First, we can subtract "P" from both sides of the equation to get:
aw = b - P
Next, we can divide both sides of the equation by "a" to get:
w = (b - P) / a
Therefore, the solution is:
w = (b - P) / a
Step-by-step explanation: