Given: a and b are parallel and c is a transversal. Prove: ∠2 ≅ ∠7 Parallel lines b and a are cut by transversal c. On line b where it intersects with line c, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 1, 5, 6, 2. On line a where it intersects with line c, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 3, 7, 8, 4. Use the drop-down menus to complete the paragraph proof showing that alternate interior angles are congruent. We know that lines a and b are parallel and that line c is a transversal because that is given. We can tell that angles 2 and 5 are congruent because angles are congruent. Angles 5 and 7 are congruent because angles by parallel lines cut by a transversal are congruent. Therefore, angles 2 and 7 are congruent based on the

Answer: so the answer t= 5, -7

3t + 3 = 18

( we subtract 3 from both sides)

3t + 3 = 18

    - 3     -3

3t    =   15

( then we divide both sides by 3 )

3t/3  =   15/3

t = 5

(and this is the negative part, we do most of the same steps as teh last one)

3t + 3 = -18

    -  3      -3

3t   =  -21

3t/ 3  = -21/ 3

t = -7

hope this helps!!!

Answer:

1:2

Step-by-step explanation:

You didn't really specify, but I'm going to assume you meant as simplified as possible. If you write it as a fraction, it will be ½ or as a decimal it will be 0.5.

Answer:

1:2

Step-by-step explanation:

Simplifying a ratio is like simplifying a fraction.

Simply put the number to the left as the numerator, and the number to the right as the denominator.

In this case, 3/6 = 1/2.

Hence, plug the numbers right back in and you get 1:2.

Hope this helped!

Answer:

3(3a+4)

Step-by-step explanation:

Answer:

I think you cannot add 9a + 12 because 12 does not have a letter in tonces, it will stay the same

Step-by-step explanation:

Answer:

It's 994

Step-by-step explanation:

okay so

-x

solutions 0,0 and 6,0

put that on the x axis

Answer:

z < 2

Step-by-step explanation:

1 + 2z < 5

-1          -1

2z  < 4

z < 4 ÷ 2

z < 2

Answer:

A ( 6 . -9 ) it's so easy . . .. ..

Answer:

The answer is (-8,10).

Answer:

its b

Step-by-step explanation:

b

Answer:

Yes 4/=8/6 are proportional

If you look at the first fraction 4/3 and multiply 2 by the denomenator and numerator it will equal to 8/6 . Now to switch it up 8/6 divided by 2 is 4/3 so yes the t2 fraction are proportional.

Step-by-step explanation:

Answer:

D

explain:

attachment

Answer:

The answer is x = 6.

Step-by-step explanation:

The middle line is 2, and the leg is [tex]\sqrt{13}[/tex]. We can use the pythagorean theorem and use [tex]\sqrt{13}[/tex] as the hypotenuse and have 2 be a leg.

[tex]a^{2} + b^{2} = c^{2} \\\\2^{2} + b^{2} = \sqrt{13}^{2}[/tex]

[tex]4 + b^{2} = 13\\\\b^{2} = 9\\b = 3[/tex]

Since we know one of the bottom parts of x is 3, and the other triangle is the same as the on we solve, we do 3 + 3 which is 6. 6 is equal to x.

#teamtrees #WAP (Water And Plant)

Answer:

x=37

Step-by-step explanation:

You know all the angles in a triangle add up to 180.

Therefore, you add 72° and 71° which equals 143.

Then you subtract 180 and 143 which equals 36.

[72+71=143

180-143=37]

I hope this helps you!

Answer: 36 / 2 1/4

Step-by-step explanation:

From the question, we are informed that Jared needs to drill holes 2 1/4 inches apart in a 36 inch section of his garage. The expression that he can use to figure out the number of holes he will need to drill will be:

= 36 ÷ 2 1/4

From the expression we can then calculate the number of hours to drill. This will be:

= 36 / 2 1/4

= 36 / 9/4

= 36 × 4/9

= 16

He'll need to drill 16 holes

Answer:

18c

= 18(36)

= 648

Step-by-step explanation:

i hope this helps and im on edmentum

Answer:

it will be 6/5

............

Answer:

5/6

Step-by-step explanation:

-5/6 + 5/6 = 0

The additive inverse of a number makes the equations value 0.

Brainliest is much appreciated!

Answer: y = x2 + 8x + 16 – 3 – 16

Step-by-step explanation:

Answer:

D.(1,-2)

Step-by-step explanation:

y= -3x+1

when x=1

y= -3*1 +1

y=-3+1

so

y=-2

Answer:

12$ an hour.

Step-by-step explanation:

Simply set it up as fraction in a way set it as  30/2.5 and divide both values by 2.5 which you get 12 from 30 and 1 from 2.5 there's your unit rate. 12/1 or 12$ an hour.

Answer:

4

Step-by-step explanation:

4444

Answer:

5 hours

Step-by-step explanation:

24miles = 1hour

120miles = x

120*1=120/24

=5hours

Answer:

What steps are used to solve this equation?

6f = 48

Complete each statement.

First,

✔ divide by 6

on both sides of the equation.

Next, simplify the equation to determine that the solution of the equation is

✔ f = 8

.

Check the solution by substituting

✔ 8

for f and simplifying.

Step-by-step explanation:

The solution of the given equation would be 8.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between.

A system of equations is two or more equations that can be solved to get a unique solution and the power of the equation must be in one degree.

We are given the equation as;

6f = 48

We have to Complete each statement.

First, divide by 6 into both sides of the equation.

f = 48/6

Next, simplify the equation to determine that the solution of the equation is

f = 8

Check the solution by substituting for f and simplifying.

6  x8 = 48

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ6

Answer:

This triangle is asking for the opposite side. We are given the hypotenuse and theta (28°.) Sin is opposite over hypotenuse.

Answer:

x=7.51

Step-by-step explanation:

Answer:

liter

Step-by-step explanation:

Hi there!

[tex]\large\boxed{tan\text{ } (\frac{-\pi }{6})}[/tex]

**Recall that tangent is Opposite / Adjacent**

tan (5π / 6) according to the unit circle equals -1 / √3. We can go through each choice and eliminate:

Therefore, the correct choice is tan (-π / 6).

Answer:

Step-by-step explanation:

We must reverse this operation in order to solve it.

First, add one cousin to 8.

8 + 1 = 9.

Then, divide 9 by 3.

9 / 3 = 3.

It cost 2 dollers each.

Answer:

42%

Step-by-step explanation:

100% - 58% = 42%

Answer:

1. y < 4

2. x </= -3

3. y >/= 2

4. x > -2

5. x </= 2

6. x < 0

7. t > -2

8. N >/= 3

9. n < -4

10. x < 5

Step-by-step explanation:

Answer:

a=2

Step-by-step explanation:

Subtract 2a from both sides.

9a−2−2a=12

Combine 9a and −2a to get 7a.

7a−2=12

Add 2 to both sides.

7a=12+2

Add 12 and 2 to get 14.

7a=14

Divide both sides by 7.

a=[tex]\frac{14}{7}[/tex]

Divide 14 by 7 to get 2.

a=2