$\dfrac{3}{4}W+8=\dfrac{1}{3}W-7\qquad\text{subtract 8 from both sides}\\\\\dfrac{3}{4}W+8-8=\dfrac{1}{3}W-7-8\\\\\dfrac{3}{4}W=\dfrac{1}{3}W-15\qquad\text{multiply both sides by}\ LCM(4,\ 3)=12\\\\12\!\!\!\!\!\diagup^3\cdot\dfrac{3}{4\!\!\!\!\diagup_1}W=12\!\!\!\!\!\diagup^4\cdot\dfrac{1}{3\!\!\!\!\diagup_1}W-(12)(15)\\\\(3)(3W)=(4)(1W)-180\\\\9W=4W-180\qquad\text{subtract}\ 4W\ \text{from both sides}\\\\9W-4W=4W-4W-180\\\\5W=-180\qquad\text{divide both sides by 5}\\\\\dfrac{5W}{5}=\dfrac{-180}{5}\\\\W=-36$

7 0

3 years ago

I NEED HELP PICTURE PROVIDED!

Sav [38]

Question 2:
The answer is 21
The two angles are vertically opposite, which makes them equal and also means we can make an equation:
4x - 4 = 3x + 17
- 3x
x - 4 = 14
+ 4
x = 21

Question 3:
The answer is 23
Again, the angles are vertically opposite, so we can make them equal each other:
5x - 53 = 3x - 7
- 3x
2x - 53 = -7
+ 53
2x = 46
÷ 2
x = 23

I hope this helps!

7 0

3 years ago

Are all congruent rectangles similar?

shusha [124]

All congruent rectangles similar because comparable shapes are not always congruent.

Given that,

We have to find are all congruent rectangles similar.

We know that,

Each side's length and the angles that separate them match those of the other shape's corresponding sides and angles. Comparable shapes are not always congruent, whereas congruent shapes are always similar.

So,

Similar figures are not always congruent, whereas congruent figures are always similar. For similar figures, we simply take into account the shapes, however for congruent triangles, we take into account both the shapes and sizes of the figure.

Therefore, All congruent rectangles similar because comparable shapes are not always congruent.

To learn more about congruent visit: brainly.com/question/26044249

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5 0

1 year ago