-17 +17
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You must apply the following formula to calculate the area a triangle:
A=bxh/2
b=12 inches (the base of the triangle)
h=12.5 inches (the height of the triangle)
When you substitute these values into the formula, you obtain:
A=bxh/2
A=(12 inches)(12.5 inches)/2
A=75 inches²
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You already have the area of one triangle. So, you only have to multiply this area by 7, because the seven (7) triangles are congruent, which means that they have the same area:
</span>
At=Ax7
At=(75 inches²)(7)
At=525 inches²
<span>
What is the area of the 7 sided figure?
</span>
The answer is: 525 inches²
Answer:
X = 8
Step-by-step explanation:
A breakdown of the calculation is attached. I hope you find it helpful, thanks.
![\bf \stackrel{f(x)}{0}=-(x+9)(x-21)\implies \begin{cases} 0=-x-9\implies &x=-9\\ 0=x-21\implies &21=x \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \boxed{-9}\rule[0.35em]{8em}{0.25pt}0\rule[0.35em]{5em}{0.25pt}\stackrel{\downarrow }{6}\rule[0.35em]{10em}{0.25pt}\boxed{21}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bf%28x%29%7D%7B0%7D%3D-%28x%2B9%29%28x-21%29%5Cimplies%20%5Cbegin%7Bcases%7D%200%3D-x-9%5Cimplies%20%26x%3D-9%5C%5C%200%3Dx-21%5Cimplies%20%2621%3Dx%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cboxed%7B-9%7D%5Crule%5B0.35em%5D%7B8em%7D%7B0.25pt%7D0%5Crule%5B0.35em%5D%7B5em%7D%7B0.25pt%7D%5Cstackrel%7B%5Cdownarrow%20%7D%7B6%7D%5Crule%5B0.35em%5D%7B10em%7D%7B0.25pt%7D%5Cboxed%7B21%7D)
now, this parabolic graph, has two zeros/solutions/x-intercepts, at -9 and 21.
for a quadratic equation, the vertex will be right in between the x-intercepts, namely in this case between -9 and 21, right in the middle, namely at 6, and is where the axis of symmetry is at, x = 6.
Sum of two angles that are complementary = 90°
<em>m</em>∠1 + <em>m</em>∠2 = 90°
Given :
<em>m</em>∠1 = 12°
Then :-



<h2>∴ <em>m</em>∠2 = 78°</h2>