It would be answer A because answer A has the same slope as the equation in the question, none of the other answers have the same slope as 7/6. there is -7/6, but all that means is that the equation is negative. we need a positive equation.
Answer:
x = 70° ; y = 67°
Step-by-step explanation:
1) The triangle given in the picture is an isosceles triangle. So, the base angles will be equal to each other. (People do get confused and assume that x is a base angle. But in the figure , the triangle is rotated anticlockwise. So x is not a base angle).
Using angle sum property of triangles,
![x+55+55=180](https://tex.z-dn.net/?f=x%2B55%2B55%3D180)
![=> x + 110 = 180\\](https://tex.z-dn.net/?f=%3D%3E%20x%20%2B%20110%20%3D%20180%5C%5C)
![=>x = 180-110=70](https://tex.z-dn.net/?f=%3D%3Ex%20%3D%20180-110%3D70)
2) Both the lines are parallel to each other and there's a transversal intersecting both the lines at 2 specific points. So ,
y = 67° (∵ Alternative Interior Angles are equal to each other when two lines are parallel and there's a transversal intersecting them)
Answer:
<h2>The height is 10 m</h2>
Step-by-step explanation:
Area of a trapezoid is given by
<h3>
![A = \frac{1}{2} (a + b)h](https://tex.z-dn.net/?f=A%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%28a%20%2B%20b%29h)
</h3>
where
a and b are the bases
h is the height
From the question
A = 135 m²
a = 20m
b = 7 m
Substitute the values into the above formula and solve for the height
That's
<h3>
![135 = \frac{1}{2} (20 + 7)h \\ 135 = \frac{1}{2} \times 27h \\ 135 \times 2 = 2 \times \frac{1}{2} \times 27h \\ 270 = 27h](https://tex.z-dn.net/?f=135%20%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2820%20%2B%207%29h%20%5C%5C%20135%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%2027h%20%5C%5C%20135%20%5Ctimes%202%20%3D%20%202%20%5Ctimes%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%2027h%20%5C%5C%20270%20%3D%2027h)
</h3>
<u>Divide both sides by 27</u>
That's
<h3>
![\frac{27h}{27} = \frac{270}{27}](https://tex.z-dn.net/?f=%20%5Cfrac%7B27h%7D%7B27%7D%20%20%3D%20%20%5Cfrac%7B270%7D%7B27%7D%20)
</h3>
We have the final answer as
<h3>10 m</h3>
Hope this helps you
Answer:
678 and if I get up she will follow me because she blocked you have a great day