3.2 geometry worksheet

3.2 Geometry Worksheet

Answers

Answer 1

Answer/Step-by-step explanation:

5. 21x + 4 = 22x - 2 (corresponding angles)

Collect like terms

21x - 22x = -4 - 2

-x = -6

divide both sides by -1

x = 6

6. (x + 72) + (x + 132) = 180 (linear pair)

x + 72 + x + 132 = 180

Add like terms

2x + 204 = 180

2x = 180 - 204

2x = -24

x = -12

7. 90 = 22x + 2 (vertical angles)

90 - 2 = 22x

88 = 22x

Divide both sides by 22

4 = x

x = 4

8. 12x + 10 = 13x + 3 (vertical angles)

Collect like terms

12x - 13x = -10 + 3

-x = -7

Divide both sides by -1

x = 7

9. 17x = 16x + 5 (alternate exterior angles)

17x - 16x = 5

x = 5

✔️17x

Plug in the value of x

17(5) = 85°

10. 21x - 6 = 20x (corresponding angles)

Add like terms

21x - 20x = 6

x = 6

✔️20x

20(6) = 120°


Related Questions

need help please thanks

Answers

Answer:

k = 15

Step-by-step explanation:

4k - 2k = 2k

-21 - 11 = -10

2k - 10 = 20

30 - 10 = 20

2 × 15 = 30

Answer k=15 for the first one... not sure about other one

Ms Louis deposited the same amount of money each month into her bank
account. The table below shows the total amount of money, a, she
deposited into the account after a certain number of months, t. since
opening it. Which equation models the relationship between a and t?

Answers

Answer:

last one 250t

Step-by-step explanation:

if u pluged in 4 for t to the equation u would get 1000 which is the correct amount

hope this helped!

Answer:

a = 250t or Answer D

Step-by-step explanation:

Y = mx+b

m = (y2-y1)/(x2-x1)

m = (2500-100)/(10-4)

m = 1500/6 = 250

y = 250x+0

y = 250x

Sophie Ruth is eating a 505050-gram chocolate bar which contains 30\%30%30, percent cocoa.

Answers

Answer:

60%

Step-by-step explanation:

she probably eats almost 60% of the cocoa contained in the chocolate. which is high and would increase the caffeine levels in her body

Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!

Answers

Answer:

10 is the correct answer because the half of 24 is 12 -2 =10 is the answer

Translate the inequality and solve. Three times a number is less than or equal to six.​

Answers

Answer:

x ≤ 2

Step-by-step explanation:

We can write out the inequality as: 3(x) ≤ 6

You have to divide 3 from both sides, so x ≤ 6/3 which is x ≤ 2.

Bethany and Aidan each have candy bars that are the same size and shape. Bethany's candy bar is marked so that it can be broken into equal parts. Aidan's candy bar is marked to that it can be broken into equal parts. Bethany ate pieces of her candy bar. Aidan also ate pieces of his candy. What is this problem about?

Answers

Answer:

Step-by-step explanation:

This problem is most likely about what percentage of the candy does each individual have left. Since the phrase is explaining that each ones candy bar is the same size and can be broken into equally divided pieces then it is most likely about figuring out which one of the individual's has more candy left over when compared to the other's candy. This is possible since both candies are the same size but more information would be needed.

Which table shows a proportional relationship between x and y?

Answers

Its the first answer because 7 divided by 1 = 7, 14 divided 2= 7, 28 divded 4 = 7

35 divided by 5 equals to 7

Its constant the number stays the same

What is the domain of f(x)?
What is the domain of g(x)?

Answers

Step-by-step explanation:

Domain is the range of x-values for the function to be defined.

Domain of f(x) = [2,9]

Domain of g(x) = [2,9]

what is y equal to 2x + 4y = -18

Answers

Answer:    y = (-1/2)x - 9/2

Slope = -1/2

Y intercept = -9/2

=====================================================

Work Shown:

2x + 4y = -18

2(x+2y) = -18 .... factor out 2

x+2y = -18/2 .... divide both sides by 2

x+2y = -9

2y = -9-x .... subtract x from both sides

2y = -x-9

y = (-x-9)/2 ... divide both sides by 2

y = (-x/2) - (9/2) ... break up the fraction

y = (-1/2)x - 9/2

The last equation is in slope intercept form y = mx+b with m = -1/2 as the slope and b = -9/2 as the y intercept.

Answer:

Step-by-step explanation:

2x + 4y = -18

2(x+2y) = -18 .... factor out 2

x+2y = -18/2 .... divide both sides by 2

x+2y = -9

2y = -9-x .... subtract x from both sides

2y = -x-9

y = (-x-9)/2 ... divide both sides by 2

y = (-x/2) - (9/2) ... break up the fraction

y = (-1/2)x - 9/2

The last equation is in slope intercept form y = mx+b with m = -1/2 as the slope and b = -9/2 as the y intercept.

It's timed plzzz help!!!

Answers

Answer:

Last Choice / D

Step-by-step explanation:

you want to isolate v!

E = 1/2 m v^2

multiply both sides by 2

2E = mv^2

divide both sides by m

2E/m = v^2

square root both sides

v = ±[tex]\sqrt{2E/m}[/tex]

please click heart to give thanks :)

Answer:

[tex]D.v= \± \sqrt{\frac{2E}{m}}[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\Kinetic\ Energy\ possessed\ by\ an\ object=\frac{1}{2}mv^2\\Hence,\\E_k=\frac{1}{2}mv^2\\2E=2*\frac{1}{2}mv^2 [Multiplying\ both\ the\ sides\ with\ 2]\\2E=mv^2\\\frac{2E}{m}=\frac{mv^2}{m}[Dividing\ both\ the\ sides\ by\ m]\\\frac{2E}{m}=v^2\\Now,\\As\ v\ could\ be\ positive\ or\ negative\ but\ its\ square(v^2)\ would\ always\ be\ positive.\\[/tex]

[tex](\± v)^2= v^2\\Hence,\\\frac{2E}{m}= (\±v)^2 \\\sqrt{\frac{2E}{m}} = \±v\\Or,\\ v= \± \sqrt{\frac{2E}{m}}[/tex]

PLEASE HELP WITH THIS WILL GIVE BRAINLIEST

Answers

11am - 2pm hope this helps(:

Answer:

11 am to 2 pm

Step-by-step explanation:

Mmmm! I love apple cider punch this time of year, and so do all my neighbors. My recipe calls for
two quarts of apple cider, three teaspoons of cinnamon, and one pint of lemon-lime soda. This will
make enough for eight people to share. In my neighborhood, however, there are 72 people. How much
do I need of each ingredient to make enough for my whole neighborhood to share?

Answers

Answer and Step-by-step explanation:

72 people total, recipe makes for 8 people

so have to make it how many times? 72/8 = 9 times

apple cider

2 quarts * 9 = 18 quarts of apple cider

cinnamon

3 teaspoons * 9 = 27 teaspoons of cinnamon

lemon-lime soda

1 pint * 9 = 9 pints of lemon-lime soda

please give thanks by clicking the heart button :)

Answer:

the one who answered is true

13 less than two-thirds of a number

Answers

Answer:  2/3x-13

Step-by-step explanation:

.2

Simplify the expression

-9 + 2.5y - 0.7y + 1 + 6.4y^2

Answers

Answer:

6.4y^(2)+1.8y-8

Step-by-step explanation:

got it right edge 2020

the equation r=3cos(6theta) represents a rose curve. how many petals does the graph contain? ​

Answers

Answer: C, 12

Step-by-step explanation:

Got it correct on edge

Answer:

C: 12

Step-by-step explanation:

Took the quiz

On the graph, the line representing Xena’s rate is less steep steeper than the line representing Steve’s ?

Answers

Steeper, Xena, and More

Answer:

The steepness shows how much the variables on the graph has changed and their rates.

What is 6 - 2 over 3 (x + 5) = 4x algebraically

Answers

Answer: x = 4/7

Explanation and steps is in the image below.

The solution to the given equation 6 - 2(x + 5)/3 = 4x is x = 4 /7.

What is the equation?

The equation is defined as an algebraic statement that has a minimum of two terms containing variables or numbers that are equal.

The equation is given in the question

6 - 2(x + 5)/3 = 4x

Apply the distributive property of multiplication,

6 - (2x + 10)/3 = 4x

(2x + 10)/3 + 4x = 6

2x/3 + 10/3 + 4x = 6

2x/3 + 4x = 6 - 10/3

Take the LCM in the above equation,

14x/3 = 8/3

14x = 8

x = 8 / 14

x = 4 /7

Thus, the solution to the given equation 6 - 2(x + 5)/3 = 4x is x = 4 /7.

Learn more about equations here:

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Noelle swims 38 miles every week . Which equation best represents the total number of miles , m Noelle swam after w weeks

Answers

Answer:

38w (miles)

Step-by-step explanation:

38 miles per week

w weeks

-> 38w (miles)

HELP FAST!!!!!!
Which shows two products that both result in negative values?
(-2.4)(1.8) and (-0.6)(-0.4)
(-2.4)(-1.8) and (-0.6)(-0.4)
(2.4)(–1.8) and (0.6K 0.4)
(2.4)(-1.8) and (-0.6)(-0.4)

Answers

Answer:

the answer is c aka (2.4)(–1.8) and (0.6)(–0.4)

Step-by-step explanation: i got it right on the test edge 2021

please help!! will mark brainliest

Answers

Answer:

I think it is the last one .

Step-by-step explanation:


Paula baked 36 cookies with 6 scoops of flour. With 8 scoops of flour, how many cookies can Paula
bake?

Answers

Answer:

36/6 = 6 cookies per scoop

6*8= 48 cookies

Step-by-step explanation:

PLZ HELP FAST :(
Expression A: 3(x+2)
Expression B: 3x+6
Which statement does not show that these expressions are equivalent?
A. Substituting any value of x makes the expression equivalent.
B. 3(x+2) can be rewritten as 3x+6 using the distributive property.
C. The expressions name the same number regardless of the value of x.
D. Both expressions inolve addition

Answers

Answer:

i would say it was either A or C

Answer:

B. 3(x+2) can be rewritten as 3x+6 using the distributive property.

Step-by-step explanation:

When you distribute 3 into x and 2 you get the equation 3x+6 (3x and 3(2)) which makes the expressions equivalent.

Options are:
a. (3, 0)
b. (0, 3)
c. (0, -2)
d. (- 2,0)
I’ll give you brainlest if you answer this question correctly!

Answers

X intercept is when y = 0
In other terms (x,0)

You can see on the graph where the line meets the x intercept at (3,0)

Solution: a. (3,0)

a triangle has side lengths 6,11 and 14. Is it acute, obtuse or right

Answers

Answer:

acute

Step-by-step explanation:

sorry if im wrong how I did it is on a paper or create a picture in your mind have a good night if you have a question please ask away in the comments

This triangle is obtuse.

What is right triangle?

Triangle is defined as a triangle which one angle is a right angle or two sides are perpendicular.

Let a = 6 ,b = 11 & c = 14 be the sides of a traingle, c being longest of three

If a²+b²=c² it is right angled,

If a²+b²>c² it is acute,

If a²+b²<c² it is abtuse,

Substitue the values of a, b and c,

a²+b²= 6²+11² = 157

c² = 14² = 196

Since a²+b²<c²

Hence, this triangle is obtuse.

Learn more about right triangle

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is 5.6213 rational or irrational

Answers

Answer:

rational number

Step-by-step explanation:

5.6213 is the rational number

Scientists are preparing two satellites to be launched. The equation y=8200xy=8200x represents the number of miles, yy, that the satellite, Space Explorer B, flies in xx hours. The satellite, Space Explorer A, flies 28800 miles in 24 hours. How many fewer miles does Space Explorer A travel in one hour than Space Explorer B?

Answers

Answer:

It flies 380 miles fewer

Step-by-step explanation:

The correct question is as follows;

Scientists are preparing two satellites to be launched. The equation y=820x represents the number of miles, y, that the satellite, Space Explorer B, flies in x hours. The satellite, Space Explorer A, flies 28800 miles in 24 hours. How many fewer miles does Space Explorer A travel in one hour than Space Explorer B?

Solution;

For explorer B

The equation is;

y = 8200x

This mean that in 1 hour, it flies 820 miles

For explorer A

28,800 miles in 24 hours

In one hour, we have 28,800/24 = 1,200 miles

The number of fewer miles that explorer A travels will be ;

1200 miles - 820 miles = 380 miles fewer

Answer:

wrong

Step-by-step explanation:

1 2/3 yards of chain cost 9.00.
How much money for 1 yard

Answers

Alright nevermind, imma delete this answer.

Answer: $5.40

Step-by-step explanation:

1 and 2/3 yards costs $9

5/3 yards costs $9 <--- changes 1 and 2/3 to improper

5 * 1/3 yards costs $9 <---- 5/3 = 5 * 1/3

1/3 yard costs $9/5 = $1.80 <--- divides the ratio by 5

1 yard costs $1.80 * 3 = $5.40

Monique has 19 pieces of candy. She wants to give an equal number of pieces of candy to her 6 friends. How many pieces of candy will each friend get? Write your answer as a mixed number.

Answers

Answer:

3 1/6

Step-by-step explanation:

Answer:

3 1/6

Step-by-step explanation:

19/6= 3.1666666666666 also known as 3 1/6

check your work by multiplying 3 1/6 by 6 and get 19

Solve for y:
32x + 14y = 23

Answers

Y= -16/7x + 23/14

I hope this helps it has been a while since I have done these

Simplify: 3 + 2s - 4 + 3s

Answers

Answer:

-1 + 5s

Explanation:

3 - 4 = -1

2s + 3s = 5s

Answer:

5 − 1

Step-by-step explanation:

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