Answer:
<em>35.11 ft</em>
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Step-by-step explanation:
This given situation can be thought of as triangle
where PQ is the length of pole.
PR is the length of rope.
and QR is the distance of bottom of pole to the point of fastening of rope to the ground.
And 
Given that:
PQ = 44 ft
PR = 51 ft

To find:
Side QR = ?
Solution:
We can apply Sine Rule here to find the unknown side.
Sine Rule:

Where
a is the side opposite to 
b is the side opposite to 
c is the side opposite to 

Now,

Let us use the Sine rule again:

So, the answer is <em>35.11 ft</em>.
In exponential form: 10^2=3(x+5)
If we were to solve, x=85/3
Answer: y=-2x-8
Step-by-step explanation:
Parallel lines need to have the same slopes but different y-intercept.
y=-2x -9 is parallel to y=-2x - 8
The rectangle on the right is 81 and the rectangle on the left is 24. I don't really know about the second one sorry, but I hope this helped.
Answer:
∠ABC ≅ ∠XYZ
Step-by-step explanation:
Given: ΔABC is similar to ΔXYZ.
If two triangles are similar, then
1. the corresponding angles are congruent
2. the corresponding sides are proportional
From the options given,
AB ≅ XY is not applicable for similar triangles. Hence the option is wrong.
∠ABC ≅ ∠XYZ since ΔABC ≅ ΔXYZ
Hence the answer is ∠ABC ≅ ∠XYZ