7 is the distance between the two points
We can write a system of equations.
x + y = 77
y = x + 5
Plug in x + 5 into the first equation:
x + y = 77
x + (x + 5) = 77
So this is our answer.
First thing first is to know that there are 3 feel in one yard
To find the perimeter of the room do 30 times 24 which is 720 divided by 9 ( because 3 feet times 3 feet is nine which represents the square yard) to get to square yards is 80
The answer is 80 square yards
In the triangle, the fact that wee are given 2AX = 3XD isn't enough to prove similarity.
<h3>How to explain the triangle?</h3>
a. In the question, we are given 2AX = 3XD. An arbitrary triangle AXB can be drawn where one extends AX and choose a point D on the extended line in order for 2AX = 3XD. Also, extend BX and choose a point C on the line so that 2BX = XC. Even though they both satisfy the condition, they're not similar.
b. We are given that AX/BX = DX/CX. When this is rearranged, we'll have AX/DX = BX/CX. In this case, let AX/DX = k. DX and AX will align upon rotation of 180°. The triangle can then be dilated by a factor of k. This brings about the mapping of triangle DXC to AXB. Therefore, the original triangle DXC is similar to AXB.
c. Lines AB and CD are parallel. Here, the dilation moves line CD onto line AB. Here, since the dilation moves D to a point on ray XA, D must move to A. Therefore, the rotation of triangle DXC is similar to AXB. Therefore, DXC is similar to AXB.
d. Here, angle XAB is congruent to angle XCD. This shows similarity and in this case, XCD is similar to XAB.
Learn more about triangles on:
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