Question

Please help! Having a hard time with these, appreciated if you do :)

Answer 1

Answer:

Hey there!

Here's the first question.

Let l be the length, and w be the width.

Thus, we have 5w=l+4, or 5w-4=l.

The perimeter is 76, so 2l+2w=76.

We see that l=5w-4, so substitute 5w-4 for l.

2(5w-4)+2w=76

10w-8+2w=76

12w-8=76

12w=84

w=7

Thus, the length is 5(7)-4, or 31.

Option C is correct.

Here is the second question)

Let x be the larger angle and y be the smaller angle.

Supplementary angles add to 180 degrees.

x+y=180

x=3y

Similar to the first problem change all the x's into 3y's

3y+y=180

4y=180

y=45

x=135

So the two angles are 45 and 135 and they add to 180 degrees (Choice D)

Hope this helps :)