Angle A and Angle B are vertical angle pairs. The measure of angle A and B are equal because they are vertical pairs. Therefore, the measure of each angle is 6 degrees.
What is vertical angles?Vertical angles are a pair of opposite angles formed by intersecting lines.
Vertical angles are congruent to each other . Vertical angles share the same vertex.
Therefore, angle A and angle B are congruent because they are vertical angle pair.
Therefore,
∠A≅∠B
let
∠B = x
Therefore,
∠A = 2x - 6
Therefore,
x = 2x - 6
x - 2x = - 6
-x = - 6
x = 6
The measure of each angle is 6 degrees.
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determine the common factors and HCF for each of the following terms
1) Зw, 5w
2)5bc ,2c², 3cd
3)4a² b, 8b² c ,6bcd
PLS HELP
1) For the term 3w, 5w, the HCF is "w" since it is common for both terms
2) For the terms 5bc ,2c², 3cd, the only common term is "c" hence the HCF of the terms will be "c"
3) For the set 4a² b, 8b² c ,6bcd, the HCF of the term is 2 since that is the only common value of the terms.
Common factors and HCF of valuesThe HCF is the smallest value that can divide a set of values without leaving a remainder.
Given the following terms, we are to find their HCF's
1) For the term 3w, 5w, the HCF is "w" since it is common for both terms
2) For the terms 5bc ,2c², 3cd, the only common term is "c" hence the HCF of the terms will be "c"
3) For the set 4a² b, 8b² c ,6bcd, the HCF of the term is 2 since that is the only common value of the terms.
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Dr. Bayer measured the masses of newborn twins. Baby A weighs 2.8 kilograms. Baby B weighs 2,950 grams. What is the difference between the masses of these newborn twins in grams? OPTIONS
Convert 2.8 kilograms into 2800 grams.
Baby A weighs 2800 grams, baby B weighs 2950 grams -> The difference between the masses = 2950 - 2800 = 150 grams.
solve equation find x 6x+6=10x-2
Answer:
[tex] \sf \: x = 2[/tex]
Step-by-step explanation:
Let's solve your equation step-by-step.
[tex] \sf 6x+6=10x−2 [/tex]
Step 1: Subtract 10x from both sides.
[tex] \sf6x+6−10x=10x−2−10x[/tex]
[tex] \sf−4x+6=−2[/tex]
Step 2: Subtract 6 from both sides.
[tex] \sf−4x+6−6=−2−6[/tex]
[tex] \sf−4x=−8[/tex]
Step 3: Divide both sides by -4.
[tex] \sf \frac{−4x}{−4}=\frac{−8}{−4}[/tex]
[tex] \sf x=2[/tex]
-2x + 1 = 4x + 9
I don’t know what to solve for x?
Answer:
x = -1.33333333333
Step-by-step explanation:
[tex]\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}[/tex]
[tex]-2x+1-1=4x+9-1[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-2x=4x+8[/tex]
[tex]\mathrm{Subtract\:}4x\mathrm{\:from\:both\:sides}[/tex]
[tex]-2x-4x=4x+8-4x[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-6x=8[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-6[/tex]
[tex]\frac{-6x}{-6}=\frac{8}{-6}[/tex]
[tex]x=-\frac{4}{3}[/tex]
[tex]x=-1.33333333333[/tex]
~Lenvy~
The human resources manager at a company records the length, in hours, of one shift at work, X. He creates the probability distribution below. What is the probability that a worker chosen at random works at least 8 hours? A probability distribution has the number of hours on the x-axis and the probability on the y-axis. The probability of 6 hours is 0. 02; 7 hours is 0. 11; 8 hours is 0. 61; 9 hours is 0. 15; 10 hours is 0. 9. 0. 62 0. 78 0. 84 0. 96.
The probability that a worker chosen at random works at least 8 hours is Option C: 0.84 approx.
How to evaluate the probability of a random variable getting at least some fixed value?Suppose the random variable in consideration be X, and it is discrete.
Then, the probability of X attaining at least 'a' is written as:
[tex]P(X \geq a)[/tex]
It is evaluated as:
[tex]P(X \geq a) = \sum_{\forall \: x_i \geq a} P(X = x_i)[/tex]
The probability distribution of X is:
x f(x) = P(X = x)
6 0.02
7 0.11
8 0.61
9 0.15
10 0.09
Worker working at least 8 hours means X attaining at least 8 as its values.
Thus, probability of a worker chosen at random working 8 hours is
P(X ≥ 8) = P(X = 8) + P(X = 9) +P(X = 10) = 0.85 ≈ 0.84 approx.
By the way, this probability distribution seems incorrect because sum of probabilities doesn't equal to 1.
The probability that a worker chosen at random works at least 8 hours is Option C: 0.84 approx.
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Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an (x,y)(x,y) point. y=−x ^2 −8
Answer:
Step-by-step explanation:
emma really smells bad do not answer this question
Which expression is the factorization of x2 10x 21?
The factorization of the given expression [tex]\rm x^2+10x+21[/tex] is (x+3)(x+7) the option first is correct.
It is given that the expression [tex]\rm x^2+10x+21[/tex]
It is required to find which expression is the factorization of the given expression, the options are:
a) (x + 3)(x + 7)
b) (x + 4)(x + 6)
c) (x + 6)(x + 15)
d) (x + 7)(x + 14)
What is polynomial?Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.
We have an expression:
[tex]\rm x^2+10x+21[/tex]
[tex]\rm x^2+7x+3x+21[/tex]
Breaking 10x into 7x and 3x because the multiplication of 7x and 3x is [tex]\rm 21x^2[/tex] and the addition is 10x.
[tex]\rm x^2+7x+3x+21\\\\\rm x(x+7)+3(x+7)\\\\\rm (x+7)(x+3)[/tex]or
[tex]\rm (x+3)(x+7)[/tex]
Thus, the factorization of the given expression [tex]\rm x^2+10x+21[/tex] is (x+3)(x+7) the option first is correct.
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Can you reflect an angle over the line y = -x? Explain.
O No, there is not a way to map the vertex of the preimage angle to the vertex of the image angle.
Yes, only angles can be reflected over diagonal lines.
O No, you cannot reflect angles over diagonal lines.
O Yes, you can reflect angles, or any object, in the coordinate plane over any line in the plane.
Answer: Yes, only angles can be reflected over diagonal lines.
Step-by-step explanation:
see photo
HELP WILL MARK BRAINIEST!!!
For each of the following two quantities in Problems 1-4, which has the greater
magnitude?
2.-14 feet and 23 feet
Answer:
23 feet
Step-by-step explanation:
The absolute value of -14 is fourteen.
The absolute value of 23 is twenty-three
23>14
Question 9 of 12
What is cos 60°?
A. 13
B. 1
C.
2
D.
2.
E.
NS-
F. V
Answer:
D
Step-by-step explanation:
You can find the answer by memorizing the values of the unit circle.
39y³(50y² - 98) ÷26y²5y + 7)
Answer:
3y5 • (5y + 7)2 • (5y - 7) then solve that which is (3•2y5) • (5y + 7) • (5y - 7) and keep going { 3x−2y=5 & 2x−5y=7
SOLVE FOR X, Y
x=1
y=−1
I hope this helps a little
A toy is on sale for 15%. If the sales price is $79.90, what was the original price?
helpp mee
Answer:
$94.00
Step-by-step explanation:
First, do [tex]79.9*\frac{100}{85}[/tex]
Then multiply to get your answer of 94.
15 points possible!!!!!!!!!!!!!!!!!!!! :)
Answer:
The answer would be 195 Strikeouts
Step-by-step explanation:
You take the number of each x then times by the number on the bottom so in this case, you have 3 15s that would be 45. for the 16s you have 5 so you do this math and you end up with 80 and keep going until you did all of them then add them up and that's your answer.
Let's analyze the data
Three players got 15 strikeoutsFive players got 16 strikeoutsTwo players got 17 strikeoutsTwo players got 18 strikeoutsNow lets solve:
Total number of strikeouts = 3 * 15 + 5 * 16 + 2*17 + 2*18
= 15 + 80 + 34 +36
= 95 + 70 = 165
Hope that helps!
Cooper is throwing a dinner party. He says about 67 people are coming to the party. He is paying a company to make the food, and they said each person would cost about $15. To add drinks, each person would cost $3. How much money will Cooper be spending for food and drinks at his party if you round the number of people to the nearest tenth digit? What is a way you can solve this estimation problem? Select all that apply.
Round the $15 to $20, the $3 to $5 and the 67 to 70 before you do anything else.
Round the 67 to 70, add the $15 and the $3 and then multiply the 2 answers.
Round 67 to 70. Multiply 70 by 15 and 70 by 3 and then add the answers.
Add the amount for food and drinks then multiply by how many people there are.
Answer:
Round the 67 to 70, add the $15 and the $3 and then multiply the 2 answers.
Round 67 to 70. Multiply 70 by 15 and 70 by 3 and then add the answers.
Step-by-step explanation:
you get the same answer both ways.
If ∠QSR≅∠QST and QT=65, what is QR?
Answer:
it would also be 65 degrees because the angles match up and because the statement says that both angles are congruent.
Answer:
QR would equal 65
Step-by-step explanation:
It is 65 because if you look at QSR = QST, this tells you that QT and QR are equal to eachother. :)
Hope this helps!!
Have a wonderful day!!
Please rate and mark brainliest!!
Examine the following piecewise function.
A graph formed of straight line segments between the following points: (negative 8, 3), (negative 2, 8), (2, 8), (3, 0), and (7, negative 7).
© 2018 StrongMind. Created using GeoGebra.
Which statements are true?
Select all that apply.
1.The function is increasing over the interval 2≤x≤3
2.The function is increasing over the interval 2≤x≤3.
3.The function is increasing over the interval −8≤x≤−2.
4.The function is increasing over the interval −8≤x≤−2.
By analyzing when the piecewise function increases and when it decreases, we can conclude that the true statement is:
"The function is increasing over the interval −8≤x≤−2."
Which statements are true?We know that our function is made of straight lines that connect:
Point (-8, 3) with (-2, 8) {This is an increasing line}Point (-2, 8) with (2, 8) {This is a horizontal line}Point (3, 0), and (7, -7) {This is a decreasing line}(to see if it increases or decreases, compare the y-value of the second and first point. If the second is larger, then the line increases).
Then the statement that is true is:
3) "The function is increasing over the interval −8≤x≤−2."
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Nick and his family travel by train to New York City.
The clocks show when the train leaves the station and when it arrives in New York City.
How long is the train ride?
Answer:4:15
Step-by-step explanation:
EZ
5 pounds=. Ounces
I need helppp
Work Shown:
1 pound = 16 ounces
5*(1 pound) = 5*(16 ounces)
5 pounds = 80 ounces
7/16 = ___% ai need it step by step
Answer:
43.75%
Step-by-step explanation:
Step 1: Divide 7 by 16 to get the number as a decimal. 7 / 16 = 0.44
Step 2: Multiply 0.44 by 100. 0.44 times 100 = 43.75. That's all there is to it!
plss help!
Question: Find a,b and c
Answer:
See below, please
Step-by-step explanation:
The right：
[tex] {(y + c)}^{2} - b \times (x + a) \\ = ( {y}^{2} + 2yc + {c}^{2} ) - bx - ba = [/tex]
[tex] = {y}^{2} - bx + 2cy + {c}^{2} - ab[/tex]
The left:
[tex] = {y}^{2} - 7x - 18y + 109[/tex]
So, after comparing the right side and the left side of this equation, we know
1)
[tex]b = 7[/tex]
2)
[tex]2c = - 18 \\ so \\ c = - 9[/tex]
3)
[tex] {c}^{2} - ab = 109[/tex]
So,
[tex]a = \frac{ {c}^{2} - 109}{b} = \frac{ { (- 9)}^{2} - 109}{7} = \frac{ - 28}{7} = - 4[/tex]
X= ___ Degrees? Will Mark Brainliest, Please Help!!!
solve all attached below for 100 points.
Answer:
53°
Step-by-step explanation:
evaluate 8-m/n+ p2 when m=8 n=2 p=7
====================================================
let's evaluate this expression
[tex]\pmb{\displaystyle\frac{8-m}{n+p^2} }[/tex]
[tex]\pmb{\displaystyle\frac{8-8}{2+7^2}}[/tex] (step 1)
[tex]\pmb{\displaystyle\frac{0}{2+49}}[/tex] (step 2)
simplify:
[tex]\pmb{\displaystyle\frac{0}{51}}[/tex] (step 3)
[tex]\pmb{0}[/tex] (step 4)
=======================================
note:-Hope everything is clear; if you need any more clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
What is the slope of this line whose equation is y=1/6x-1/2
Answer:
The slope = 1/6.
Step-by-step explanation:
The general form for a straight line is
y = mx + c where m is the slope
So in this case m = 1/6.
A pupil who scored 50 in his paper 1
exam got ill and missed paper 2.
use the line of best fit to predict what
his paper 2 mark could have been.
The graph of the pupil's score is an illustration of scatter plots
The student's expected score in paper 2 is 62
How to predict the score in the missed paperTo predict the score of the pupil in the missed paper, we simply interpret the points on the line of best fit of the scatter plot
From the graph (see attachment), we have:
Paper 2 = 62 when Paper 1 = 50
This means that the student's expected score in paper 2 is 62
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What can you discern about the nature of work on miguel street based on your close reading of the first chapter
The context clues show that the nature of work on Miguel street based on your close reading of the first chapter is carpentry.
What are context clues?Context clues are the hints that are given in a literary work. They're important for readers to understand a story.
In this case, the context clues show that the nature of work on miguel street based on your close reading of the first chapter is carpentry. This was illustrated by Popo who was a carpenter.
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The context clues show that the nature of work on Miguel street based on your close reading of the first chapter is carpentry.
What context clues?Context clues are the hints that are given in a literary work. They're important for readers to understand a story.
In this case, the context clues show that the nature of work on Miguel street based on your close reading of the first chapter is carpentry. This was illustrated by Popo who was a carpenter.
Learn more about context clues on:
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#SPJ4
Simplify
1/3 + 4/x-2 = 6
Answer:
1/3+4/x-2=6
Step-by-step explanation:
your is answer 6
Please Help!
In the diagram, secant AP intersects the circle at points A and B, and secant CP intersects the circle at points C and D. The lines intersect outside the circle at point P.
What is the length of AP?
(There are no answer options you must enter the correct value)
Answer AP might be 12
Step-by-step explanation:
The length of AP when secant AP intersects the circle at points A and B, and secant CP intersects the circle at points C and D. is 12 units.
The length of AP can be found using the following steps:
Draw a radius from the center of the circle to point P.
Let the radius intersect secant AP at point E.
Since AP and PE are secant segments, they share a common external tangent at point P.
Therefore, the two triangles, APE and BPF, are similar triangles.
The ratio of corresponding sides in similar triangles is equal, so:
AP/PB = PE/PF
We know that PB = 5 and PF = 20, so:
AP/5 = PE/20
Solving for AP, we get:
AP = 5 * 20/5 = 20
The diagram shows the two similar triangles, APE and BPF. The two triangles are similar because they share a common external tangent at point P. The ratio of corresponding sides in similar triangles is equal, so we can use the ratio of AP to PB to find the length of AP.
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Hal is going over the credit scores he received from the three major credit bureaus. He Experian score is 711, his Equifax score is 736, and his TransUnion score is 736. What is the mode of Hal’s credit scores? (Round to the nearest whole point, if applicable. ) a. 736 b. 728 c. 723 d. There is no mode in this group.
The Halls credit score is 2186.
We have given that,he experian score =711
his equifax score =736
his trans union score =736
What is the meaning of Hals score?
Hals credit score = sum of all score.
Hals credit score = sum of all score.
=711+736+736
=2186
Therefore, the Halls credit score is 2186.
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Answer:Answer is A
Step-by-step explanation:grandma told me
the perimeter of this figure is 70 feet. how long are the unkown sides?
5 ft
6 ft
10 ft
12 ft
Answer:
The correct answer is 6 ft. Hope this helps!
Step-by-step explanation:
PLEASE HURRY! (once more)
A cooler contains three colas, seven root beers, and three ginger ales. Three people grab a drink at random, one at a time.
a) What is the probability that the first person grabs a cola, the second person grabs a ginger ale, and the third person grabs a cola?
b) What is the probability that the third person grabs a root beer given that the first two grabbed colas?
Answer:
a) 3/286
b) 7/286
Step-by-step explanation:
We start with 13 drinks. After the first person takes one drink, there are 12 drinks left, After the second person takes one drink, there are 11 drinks available for the third person.
a) From the 13 drinks, there are 3 colas, From the 12 remaining drinks, there are 3 ginger ales. From the 11 remaining drinks, there are 2 colas. We have:
[tex] \frac{3}{13} \times \frac{3}{12} \times \frac{2}{11} = \frac{3}{286} [/tex]
b) From the 13 drinks, there are 3 colas. From the 12 remaining drinks, there are 2 colas. From the 11 remaining drinks, there are 7 root beers. We have:
[tex] \frac{3}{13} \times \frac{2}{12} \times \frac{7}{11} = \frac{7}{286} [/tex]