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oksian1 [2.3K]
3 years ago
14

The perimeter of a rectangle who's sides are of lengths (3z+2) units and (2z+3) units

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
8 0
2(3z+2) + 2(2z+3)
6z+4+4z+6
10z+10
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Answer:

x = 3

Step-by-step explanation:

Angle S and Angle T are consecutive interior angles. Therefore, we know that T + S = 180°.

First, we need to solve for T, and since angles S and T are consecutive interior angles, we know that T + S = 180°. If we reorganize the equation to include the things we know (S = 105°), then we get 180° - 105° = 75°. So T is 75°.

Now, we use T = 75° and the information given to us in the picture to set up an equation. 75 = 24x + 3. Now, we can find x by isolating it. Do this by:

1) Subtracting 3 from both sides to give you 72 = 24x. We do this to get rid of the 3 from the "x side", but we must also do it to the other to keep the equation true. This moves the 3 from the "x side" to the other since we're trying to isolate x.

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