2. Find the value of x and y.
62°
(4x+2)°
(12y)
144°
Ox= 15, y= 12
Ox= 14, y= 11
Ox=14, y = 12
Ox= 15, y= 11
Answers
Answer:
x=15,y=12
Step-by-step explanation:
Alternate angles are those angles that are on the opposite side of the parallel lines transverse with a line touching both parallel lines.
The value of x and y are 15 and 12.
x = 15
y = 12
Option A is the correct answer.
What are corresponding angles?The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.
Corresponding angles are equal.
We have,
The figure contains four angles.
62 and (4x + 2) are alternate angles.
12y and 144 are alternate angles.
We know that alternate angles are equal.
So,
62 = 4x + 2 ____(1)
12y = 144 _____(2)
From (1) we get,
62 = 4x + 2
Subtract 2 on both sides.
62 - 2 = 4x + 2 - 2
60 = 4x
Divide both sides by 4.
4x = 60
x = 60/4
x = 15
From (2)
12y = 144
Divide both sides by 12.
y = 144/12
y = 12
Thus,
The value of x and y are 15 and 12.
x = 15
y = 12
Option A is the correct answer.
Learn more about corresponding angles here:
https://brainly.com/question/1597341
#SPJ2
Related Questions
What is the area of the trapezoid below
Answers
Answer:
[tex]Area: 29 cm^{2}[/tex]
Step-by-step explanation:
[tex]Aear=(8.5+6)(\frac{4}{5} )[/tex]
[tex]Area=14.5 (2)[/tex]
[tex]Area=29[/tex]
----------------------
hope it helps...
have a great day!!
23% more than the number last week. This week, there were 7134 new cases. How many new cases were there last week?
Answers
Answer:
Number of cases sold last week= 31,017 cases
Step-by-step explanation:
Giving the following information:
Increase in sales= 23%
This week, there were 7,134 new cases.
If 7,134 cases represent the 23%, then we need to use the rule of three:
Number of cases sold last week= (7,134*100)/23
Number of cases sold last week= 31,017 cases
Nalani says the expression 9+7r cannot be factored using the GCF. Is she correct? Explain why or why not
Answers
Answer:
Nalani is correct.
Step-by-step explanation:
Given - Nalani says the expression 9+7r cannot be factored using the GCF.
To find - Is she correct? Explain why or why not.
Proof -
GCF - Greater Common factor
Given that, the expression is - 9 + 7r
As
HCF(9, 7) = 1
So , we can not factor the expression.
i.e. there does not exist any number who is a multiple of 9 and 7 both.
So,
Nalani is correct.
Example -
Let the expression be 24 + 18x
HCF(24, 18) = 6
So,
24 + 18x = 6(4 + 3x)
A triangle has sides with lengths of 12 yards, 17 yards, and 20 yards. Is it a right triangle?
Answers
Answer:
190.9
Step-by-step explanation:
Hurry plzz help me out!!!
Answers
Answer:
I do believe that it is B.
Sorry I don't have much of an explanation.
Genevieve is 3 years older than twice her brother's age. Genevieve is 21 years old. Write an equation to find her brother's age.
Answers
Because she is 3 years older than half his age, subtract 3 - 21. This gives 18. Then divide 18 / 2. This gives 9.
The equation that represents Genevieve's brother is y = 18/2.
What is the equation that represents Genevieve's brother age?The equation that represents Genevieve's age:
21 = 3 + 2Y
Where Y represents Genevieve's brother age
In order to determine the required equation, make y the subject of the formula
21 - 3 = 2y
18 = 2y
y = 18/2
To learn more about linear functions, please check: https://brainly.com/question/26434260
I NEED HELP PLEASE THANK YOU The table gives average annual salaries for four jobs. Based on this information, how much more money would a store manager earn than a painter over 10 years? O $33 600 0 $184.100 O S297.000 o $481.100
Answers
Answer:
Divide annual salary minus extra compensation by the number of hours worked per year. For example, if your annual salary minus bonuses, tips and commissions is $30,000 and you work 2080 hours per year, your base salary is approximately $14.42 an hour.
Answer:
297,000 good luck :))!!!
solve for x: 2+x+x+x+4=9
Answers
Answer:
x=1
Step-by-step explanation:
2+1+1+1+4=9
2+x+x+x+4=9
=> 3x + 6 = 9
=> 3x = 9-6
=> 3x = 3
=> x = 3/3
=> x = 1
i have ¾ of an hour to finish 6 homework assignments. How much time can I spend on each assignment?
Answers
Answer:
3/4 x 6=18/4
Step-by-step explanation:
Reduce fraction to lowest terms
18 over 4
18 /4
= ( 18 ÷ 2 ) over ( 4 ÷ 2 )
18 ÷ 2
4 ÷ 2
= 9 over 2
9 /2
2 is the greatest common divisor of 18 and 4. Reduce by dividing both numerator and denominator by 2.
Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.
Convert improper fraction to mixed number
9 over 2
9 /2 = 4 and 1 over 24
1 /2
9 ÷ 2 = 4 remainder 1
Answer:
7 and a half minutes
Step-by-step explanation:
this is because 15 is 1/4 of a hour and 7 and a half is half of 15 if you spend 7 and a half on all homework assignments you will use up 45 minutes or 3/4 of a hour
BRAINIEST TO WHOEVER RIGHT “ identify the box and whisker plot that represents the data.” “Cat lengths (in inches) : 16, 18, 20, 25, 17, 22, 23, 21”
Answers
First we have to put he data set in ascending order:
16, 17, 18, 20, 21, 22, 23, 25
The median (middle number or average of 2 middle numbers) = 20.5 The center line of the box needs to be at 20.5
The middle of the first half of the data is 17.5, (average of 17 & 18) so the left side of the box needs to be at 17.5
The middle of the second half of the data is 22.5, (average of 22 & 23), so the right side of the box needs to be at 22.5.
The “whiskers” are your bottom & top numbers...representing the full range of data. They should be at 16 & 25.
Which do you pick and why? How much money do you end up with in each case?
Answers
Answer:
2
Step-by-step explanation:
Because if you get 1 per day there is 24 hours meaning there is going to be 17,280 in 30 days so you end up making more in 30 days by getting 1,000,000
Help please! All guesses get reported! Answer gets brainliest!
Answers
Answer:
A - 36 in.
b - 8
Step-by-step explanation:
A - You marked all of it right! 10 + 10 + 10 + 6
B - The teeth are only on half of the circle that hit the chain. 10 inches of chain for the big wheel, so 1/2 of 10 is 5. Same thing for the little wheel, 1/2 of 6 is 3, and 5+3 = 8, so about 8!
b: 8
uhm yea so they can get brainliest
Place the three functions in order from the fastest decreasing average rate of change to the slowest decreasing average rate of change on the interval (0,3)
Answers
Answer:
g(x), f(x) and h(x)
Step-by-step explanation:
Given
Interval: (0,3)
See attachment for functions f(x), g(x) and h(x)
Required
Order from fastest to slowest decreasing average rate of change
The average rate of change is calculated as:
[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]
In this case:
[tex](a,b) = (0,3)[/tex]
i.e.
[tex]a = 0\\b=3[/tex]
For f(x)
[tex]f(x) = 16(\frac{1}{2})^x[/tex]
[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]
[tex]Rate = \frac{f(3) - f(0)}{3 - 0}[/tex]
[tex]Rate = \frac{f(3) - f(0)}{3}[/tex]
Calculate f(3) and f(0)
[tex]f(x) = 16(\frac{1}{2})^x[/tex]
[tex]f(3) = 16(\frac{1}{2})^3 = 16 * \frac{1}{8} = 2[/tex]
[tex]f(0) = 16(\frac{1}{2})^0 = 16 * 1 = 16[/tex]
So:
[tex]Rate = \frac{f(3) - f(0)}{3}[/tex]
[tex]Rate = \frac{2 - 16}{3}[/tex]
[tex]Rate = -\frac{14}{3}[/tex]
For g(x)
[tex]Rate = \frac{g(b) - g(a)}{b - a}[/tex]
[tex]Rate = \frac{g(3) - g(0)}{3 - 0}[/tex]
[tex]Rate = \frac{g(3) - g(0)}{3}[/tex]
From the table of g(x)
[tex]g(3) = 1[/tex]
[tex]g(1) = 27[/tex]
So:
[tex]Rate = \frac{1 - 27}{3}[/tex]
[tex]Rate = -\frac{26}{3}[/tex]
For h(x)
[tex]Rate = \frac{h(b) - h(a)}{b - a}[/tex]
[tex]Rate = \frac{h(3) - h(0)}{3 - 0}[/tex]
[tex]Rate = \frac{h(3) - h(0)}{3}[/tex]
From the graph of h(x)
[tex]h(3) = -3[/tex]
[tex]h(0) = 4[/tex]
So:
[tex]Rate = \frac{-3 - 4}{3}[/tex]
[tex]Rate = -\frac{7}{3}[/tex]
So, the calculated rates of change are:
[tex]f(x) = -\frac{14}{3}[/tex] [tex]= -4.67[/tex]
[tex]g(x) = -\frac{26}{3}[/tex] [tex]=-8.67[/tex]
[tex]h(x) = -\frac{7}{3}[/tex] [tex]=-2.33[/tex]
By comparison:
From the fastest decreasing to slowest, the order is: g(x), f(x) and h(x)
Answer: IN THIS ORDER!! g(x), f(x), h(x).
Watching your neighbors toddlers for $15/1.5 hours or babysitting your cousins for the day for $60/8 hours. Which one pays more?
Answers
Answer:
.
Step-by-step explanation:
Answer:
Babysitting your cousins
Step-by-step explanation:
Becauss 15/1.5 is 3. And 60/8 is 7.5
the picture has the question
Answers
Answer:
A:80 FT
Step-by-step explanation:
just did it
Match the equation y = -3x + 4 to the corresponding graph below.
Answers
Explanation:
PLEASE HELP ME I WANT TO PASS THIS CLASS AND GRADUATE WILL GIVE BRAINLIEST
A recent study of high school students shows the percentage of females and males who have at LEAST one notation in their school record for inappropriate behavior. A simple random sample of high school students was interviewed. The students were asked whether they had a notation for inappropriate behavior in their school record. Of the 100 females, 21 answered yes, as did 145 of the 400 males.
Part A: Construct and interpret a 99% confidence interval for the difference in population proportions of females and males who have at LEAST one notation for inappropriate behavior. Be sure to state the parameter, check conditions, perform calculations, and make conclusion(s). (8 points)
Part B: Does your interval from part A give convincing evidence of a difference between the population proportions? Explain. (2 points)
Answers
lol the handwriting hurts
Answer:
other person!
Step-by-step explanation:
give the other person brainliest; hope you pass the class!
The sum of the measures of two angles is 90° one angle has a measure of 32.8° the other angle is represented by X what is the measure of the second angle
Answers
Answer:
x = 57.2
Step-by-step explanation:
Equation:
32.8 + x = 90
x = 90 - 32.8
x = 57.2
plz help me i need help I can do it but don't have time to think
Answers
Step-by-step explanation:
3a + 2 = 8 ==> a=2
12 + 2 = c ==> c=14
3b + 2 = 2 ==> b=0
3d - e = 15
4d - e = 21
fd - e = 45
------------------
d=6
e=3
f=7
Hope to helpfull
What is the point-slope form of line with slope -3 that contains the point
(10,-1)?
Answers
Answer:
D. y+1=-3(x-10)
Step-by-step explanation:
the equation for point-slope form of the line is given as y-y1=m(x-x1) where (x1,y1) is a given point, and m is the slope
we are given the point (10,-1) that passes through the line and a slope of -3
so we can substitute what we know into our equation
y--1=-3(x-10)
simplify
y+1=-3(x-10)
therefore the answer is D
Hope this helps! Good luck on your assignment!
1.Which are the equation and solution for the sentence, "Anumber, n, divided by
four tenths equals 12?"
A. n ÷ 4 = 12; n = 36
B. 0.4n = 12; n = 30
C. n − 0.4 = 12; n = 12.4
D. n ÷ 0.4 = 12; n = 4.8
2.Janet has read all but the last 58 pages of a book. The book has a total of 125
pages. Which equation can you use to find how many pages (x) she has
already read?
A. 125 + x = 58
B. 125 − x = 58
C. 125 ÷ 58 = x
D. 58 − x = 125
3.Coach Whitcomb treated her soccer players to ice cream cones after they won
their game. She bought 12 cones and paid a total of $21.00. If she solves the
equation 12x = 21, she can find the price per ice cream cone. What does 1
cone cost?
A. $2.00
B. $1.75
C. $1.50
D. $1.25
Answers
Answer:
1) B/ 0.4n = 12; n = 30
2) B/ 125 – x = 58
3) B/ $1.75
Step-by-step explanation:
1) 0.4n = 12
n = 12 ÷ 0.4
n = 30
2) 125 – x = 58
– x = 58 – 125
– x = – 67 ( – & – will get cancelled)
x = 67
a) 125 + x = 58
x = 58 – 125
x = – 67 (pages won't be in negative)
c) 125 ÷ 58 = x
2.15 = x (wrong)
d) 58 – x = 125
– x = 125 – 58
– x = 67
x = 67 ÷ –1
x = – 67 ( pages won't be in negative)
3) 12x = 21
x = 21 ÷ 12
x = 1.75
What is an equation of the line that passes through the points (-4,-2)
and (8, 1)?
Answers
Answer:
y=1/4x-1
Step-by-step explanation:
Shaun is 4 years older than her sister Charmaine. If the sum of their ages is 16, how old is Charmaine?
Answers
Step-by-step explanation:
[tex]let \: the \: age \: of \: charmaine \: be \: x[/tex]
[tex]according \: to \: question[/tex]
[tex]4 + x = 16[/tex]
[tex]x = 16 - 4[/tex]
[tex]12[/tex]
[tex]so \: the \: age \: of \: shaun \: is \: [/tex]
[tex]x + 4[/tex]
[tex]12 + 4[/tex]
[tex]16[/tex]
hope it helps if it helps don't forget to like and mark me
Arelli uses 8.4 pints of blue paint and white paint to paint her bedroom walls. 3 4 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?
Answers
Answer: 2.1 Pints
Step-by-step explanation:
Given
Areli uses 8.4 Pints of blue and White Paint
If the three-fourth is blue paint i.e.
[tex]\Rightarrow 8.4\times \dfrac{3}{4}=6.3\ \text{Pints}[/tex]
The remaining one-fourth is White Paint i.e.
[tex]\Rightarrow 8.4\times \dfrac{1}{4}=2.1\ \text{Pints}[/tex]
Pls answer this I will give 10 points and brainlest for 4 to 6 answers
Answers
Answer:
wheres the question
Step-by-step explanation:
Please help! 90 x 120 = ? divided by 2
Answers
90 x 120 = 10800
10800/2 = 5400
Answer:
21600=xStep-by-step explanation:
so this is the problem:
90x120=x/2
first, you can multiply 90 and 120 to get 10800.
then, your equation looks like this
10800=x/2
you can multiply both sides by 2
2(10800)=(x/2)(2)
then, you get this
21600=x
hope this helped!!!
What's the circumference of a circle with a radius of 10 inches
Answers
Answer:
5
Step-by-step explanation:
5
Use Quadratic Formula to solve Real Life Quadratic Equation Problem.
Kaylani is going to make a blanket by sewing a 4-foot long piece of ribbon along the diagonal of a piece of rectangular fabric. She wants the length of the blanket to be 18 inches longer than the width. What is the approximate perimeter of the blanket? Round to the nearest inch.
Answers
Answer:
Step-by-step explanation:
Use Quadratic Formula to solve Real Life Quadratic Equation Problem.
Kaylani is going to make a blanket by sewing a 4-foot long piece of ribbon along the diagonal of a piece of rectangular fabric. She wants the length of the blanket to be 18 inches longer than the width. What is the approximate perimeter of the blanket? Round to the nearest inch.
Select all the true statements.
x=y
Answers
Answer:
What is the question?????
Unit 6 Area and Perimeter Test
Find the perimeter of the figure below. Use 3.14 for pie If needed, round your answer to the nearest hundredth. SHOW AL
6 ft
4 ft
\5 ft
3 ft