Lines a and b are cut by transversal f. At the intersection of lines f and a, the top left angle is 96 degrees. At the intersection of lines b and f, the bottom right angle is (6 x minus 36) degrees.What must be the value of x so that lines a and b are parallel lines cut by transversal f?

10
20
22
32

Answers

Answer 1

Answer:

Answer:

C. 22

Step-by-step explanation:

Inverse Alternate Interior Angles Theorem sttes that if two lines a and b are cut by transversal f so that the alternate interior angles are congruent, then a║b.

To prove that lines a and b are parallel, equate the measures of angles 96° and (6x-36)°:

$6x-36=96\n \n6x=96+36\n \n6x=132\n \nx=22$

Answer 2

Answer:

Answer:

Option C.

Step-by-step explanation:

It is given that lines a and b are cut by transversal f.

If a transversal line intersect two parallel lines, then the alternate exterior angles are same.

We need to find the value of x so that lines a and b are parallel lines cut by transversal f.

So, equate both alternate exterior angles.

$6x-36=96$

Add 36 on both sides.

$6x-36+36=96+36$

$6x=132$

Divide both sides by 6.

$x=(132)/(6)$

$x=22$

The value of x is 22. Therefore, the correct option is C.

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A square has an area of 49,square feet. what is the perimeter of the square

Answers

The perimeter would end up being 28 inches.

You have to find the square root of 49, and then multiply that number by 4 to get your perimeter.

uh.i think it is 4.just think it is.im sry if i get it wrong.lamo d:

I need help NOW!!!!!! Thanks!D
Parallelogra
Base (units) Height (units) Area (units)
m
A
4
6
A-24
B
5
3
A-15
C С
D
Any
Parallelogra
m
b
h
A= bh

Answers

Answer:

Answer: Good thing you provided the image!

Working down the columns:

C base= 2

D base = 4

C height =3

D height = 2

C area = bh = 8

D area = bh = 8

Step-by-step explanation:

Try thinking about drawing a rectangle around the entire image of C and D, connecting each of the corners (sort of like what is being done for B) and then you can perceive the b and h.

The trick to D is to turn your head 90 degrees (or sideways) so you can see those 4 boxes as the base.

Step-by-step explanation:

Monica walked every day for exercise at a rate of 1 kilometer every 20 minutes. At this rate, how many meters can Monica walk in 1 hour? EXPLAIN how you found your answer

Answers

3000 because 1 hour is 60 mins and that mean if monica walked for an hour than she would have walked 3 km and km is 3000m as 1km is 1m

3000 kilometers because there are three blocks of 20 minutes in an hour so multiply 1000 by 3

Margie hiked a 17 7/8 mile trail.She stopped every 3 2/5 miles to take a picture.Which is the best estimate of the number of times she stopped ? A 4. B 6. C 7. D 8.

Answers

Answer:

Option B is the correct answer

Step-by-step explanation:

Margie hiked a 17 7/8 mile trail.

$\texttt{Distance hiked by Margie = }17(7)/(8)=(17* 8+7)/(8)=(143)/(8)mile$

She stopped every 3 2/5 miles to take a picture.

$\texttt{Distance at which she stopped to take picture = }3(2)/(5)=(3* 5+2)/(5)=(17)/(5)mile$

$\texttt{Number of pictures taken = }\frac{\texttt{Distance hiked by Margie}}{\texttt{Distance at which she stopped to take picture}}\n\n\texttt{Number of pictures taken = }((143)/(8))/((17)/(5))=(715)/(136)=5.28$