Answer:
20
Step-by-step explanation:
so we know x+40=3x because opposite angles are congruent so if you solve it out you get x=20
The diagram is of a right triangle with
Hypotenuse = 233
One leg of the triangle = 105
Another Leg = <em>we have to find</em>
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Pythagorean Theorem can be written as:

Thus, we can write:
![\begin{gathered} 105^2+\text{AnotherLeg}^2=233^2 \\ \text{AnotherLeg}^2=233^2-105^2 \\ \text{AnotherLeg}^2=43264 \\ \text{AnotherLeg}=\sqrt[]{43264} \\ \text{AnotherLeg}=208\text{ ft} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20105%5E2%2B%5Ctext%7BAnotherLeg%7D%5E2%3D233%5E2%20%5C%5C%20%5Ctext%7BAnotherLeg%7D%5E2%3D233%5E2-105%5E2%20%5C%5C%20%5Ctext%7BAnotherLeg%7D%5E2%3D43264%20%5C%5C%20%5Ctext%7BAnotherLeg%7D%3D%5Csqrt%5B%5D%7B43264%7D%20%5C%5C%20%5Ctext%7BAnotherLeg%7D%3D208%5Ctext%7B%20ft%7D%20%5Cend%7Bgathered%7D)
Thus,
The distance between the traffic lights on Walnut Street is:
208 feet
78.07 your very welcome sir
<em>98 cm²</em>
- Step-by-step explanation:
<em>A(parallelogram) = PR×CD</em>
<em>252cm² = PR×18cm</em>
<em>PR = 252cm²/18cm</em>
<em>= 14 cm</em>
<em>PR = diameter => radius = d/2 = 14cm/2 = 7 cm </em>
<em>A(circle) = π×r²</em>
<em>= 22/7 × (7cm)²</em>
<em>= 22/7 × 49cm²</em>
<em>= 154 cm²</em>
<em>A(shaded) = A(parallelogram) - A(circle)</em>
<em>= 252cm² - 154cm²</em>
<em>= 98 cm²</em>