2/3 or 0.6667
if you need anything else leave a comment!
Answer:
survey
Step-by-step explanation:
because she wants to know the opinions of the girls
X + 2y + 3
...........................
Answer:
65 square units
Step-by-step explanation:
The easiest way to calculate the area of the given irregular polygon is to <u>divide</u> the shape into a triangle and a trapezoid (see attached diagram).
<u>Area 1: triangle</u>
![\begin{aligned}\textsf{Area of a triangle} & = \sf \dfrac{1}{2} \times base \times height\\ & = \sf \dfrac{1}{2} \times SU \times height\\& = \sf \dfrac{1}{2} \times 8 \times 4\\& = \sf 16\:\:square\:units\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Ctextsf%7BArea%20of%20a%20triangle%7D%20%26%20%3D%20%5Csf%20%5Cdfrac%7B1%7D%7B2%7D%20%5Ctimes%20base%20%5Ctimes%20height%5C%5C%20%26%20%3D%20%5Csf%20%5Cdfrac%7B1%7D%7B2%7D%20%5Ctimes%20SU%20%5Ctimes%20height%5C%5C%26%20%3D%20%5Csf%20%5Cdfrac%7B1%7D%7B2%7D%20%5Ctimes%208%20%5Ctimes%204%5C%5C%26%20%3D%20%5Csf%2016%5C%3A%5C%3Asquare%5C%3Aunits%5Cend%7Baligned%7D)
<u>Area 2: trapezoid</u>
![\begin{aligned}\textsf{Area of a trapezoid} & = \sf \dfrac{1}{2} (base_a+base_b) \times height\\& = \sf \dfrac{1}{2}(SU+RQ) \times RS\\& = \sf \dfrac{1}{2} (8+6) \times 7\\ & = \sf \dfrac{1}{2}(14) \times 7\\ & = \sf 7 \times 7\\& = \sf 49\:\:square\:units\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Ctextsf%7BArea%20of%20a%20trapezoid%7D%20%26%20%3D%20%5Csf%20%5Cdfrac%7B1%7D%7B2%7D%20%28base_a%2Bbase_b%29%20%5Ctimes%20height%5C%5C%26%20%3D%20%5Csf%20%5Cdfrac%7B1%7D%7B2%7D%28SU%2BRQ%29%20%5Ctimes%20RS%5C%5C%26%20%3D%20%5Csf%20%5Cdfrac%7B1%7D%7B2%7D%20%288%2B6%29%20%5Ctimes%207%5C%5C%20%26%20%3D%20%5Csf%20%5Cdfrac%7B1%7D%7B2%7D%2814%29%20%5Ctimes%207%5C%5C%20%26%20%3D%20%5Csf%207%20%5Ctimes%207%5C%5C%26%20%3D%20%5Csf%2049%5C%3A%5C%3Asquare%5C%3Aunits%5Cend%7Baligned%7D)
<u>Area of the polygon</u>
![\begin{aligned}\textsf{Area of the polygon} & = \textsf{Area of triangle}+\textsf{Area of trapezoid}\\& = \sf 16 + 49\\& = \sf 65\:square\:units \end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Ctextsf%7BArea%20of%20the%20polygon%7D%20%26%20%3D%20%5Ctextsf%7BArea%20of%20triangle%7D%2B%5Ctextsf%7BArea%20of%20trapezoid%7D%5C%5C%26%20%3D%20%5Csf%2016%20%2B%2049%5C%5C%26%20%3D%20%5Csf%2065%5C%3Asquare%5C%3Aunits%20%5Cend%7Baligned%7D)
Therefore, the area of the polygon is 65 square units.
Learn more about composite shapes here:
brainly.com/question/27744042
brainly.com/question/27743608
Answer:
Step-by-step explanation:
x + 32 + 2 vertically opposite degrees = 180 Beginning condition
x + 32 + x + 126 + 36 = 180 Combine like terms
2x + 194 = 180 Subtract 162 from both sides
2x = -14
x = -7
========
So the three angles are
36
-7 + 32 = 25
-7 + 126 = 119
Total = 180
That negative can throw you for a loop.