Step-by-step explanation:
![(3x + 10) + (5x + 18) = 180 \\ 8x + 28 = 180 \\ 8x = 152 \\ x = \frac{152}{8} \\ x = 19](https://tex.z-dn.net/?f=%283x%20%2B%2010%29%20%2B%20%285x%20%2B%2018%29%20%3D%20180%20%5C%5C%208x%20%2B%2028%20%3D%20180%20%5C%5C%208x%20%3D%20152%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B152%7D%7B8%7D%20%20%5C%5C%20x%20%3D%2019)
The equation is asking you to multiply.
= 4 * -7
= -28
Hope This Helped! Good Luck!
The width of the cooling tower at the base of the structure will be A. 36 meters.
<h3>How to calculate the width?</h3>
From the information given, the towers walls are modeled by x²/324 - (y² - 90)²/1600.
Therefore, the width of the cooling tower at the base of the structure will be:
= 2 × ✓324
= 2 × 18
= 36
In conclusion, the width is 36 meters.
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Answer:
the answer would be B the answer would be B
Answer:
Option B Yes by AAA
Step-by-step explanation:
we know that
If the two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent
so
![\frac{HM}{MK}=\frac{GM}{MJ}](https://tex.z-dn.net/?f=%5Cfrac%7BHM%7D%7BMK%7D%3D%5Cfrac%7BGM%7D%7BMJ%7D)
substitute the values and verify
![\frac{8}{12}=\frac{6}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B12%7D%3D%5Cfrac%7B6%7D%7B9%7D)
simplify
-------> is true
therefore
The triangles are similar by AAA------> the three angles are congruent