What would be the measure of segment FH?
1 answer:
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Answer:
The height of the pole is 105ft,
Step-by-step explanation:
Let us call the height of the pole, then we know that the distance from the bottom of the pole to the anchor point is 49, or it is
.
The wire length is 14 ft longer than height
, hence
.
Thus we get a right triangle with hypotenuse , perpendicular
, and base
; therefore, the Pythagorean theorem gives
which upon expanding we get:
further simplification gives
,
which is a quadratic equation with solutions
Since the first solution will give the triangle base length of
which is negative; therefore, we disregard it and pick the solution
.
Hence, the height of the pole is 105ft.
Answer:
X= and Y= 8
Step-by-step explanation:
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Answer:
Step-by-step explanation:
When you reflect a point (x, y) in the y-axis, the y-coordinate remains the same, but the x-coordinate gets the opposite sign. Thus,
E (8,4) ⟶ E' (-8,4)
F (-16,-8) ⟶ F' (16,-8)
G (24,-16) ⟶ G' (-24,-16)
The figure EFG and its reflection E'F'G' are shown in the diagram below.
