By applying Segment Addition Postulate, segment FH is equal to 24 units.
<h3>What is a point?</h3>
A point can be defined as a zero dimensional geometric object and it is generally represented by a dot.
<h3>What is a line segment?</h3>
A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.
<u>Given the following data:</u>
Since point H lies on line segment FG, we would apply Segment Addition Postulate to determine segment FH as follows:
FG = HG + FH
37 = 13 + FH
FH = 37 - 13
FH = 24 units.
Read more on line segment here: brainly.com/question/17617628
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Complete Question:
Given that line segment FG = 37 and segment HG = 13, find segment FH.
A trapezoid is isosceles if and only if
(1) The base angles are congruent
(2) The diagonals are congruent
(3) The opposite angles are supplementary
So the description does not guarantee that a trapezoid is isoceles for "Congruent bases".
Answer:
8x-16y
Step-by-step explanation:
Answer:
x = 5
Step-by-step explanation:
<span>8x + 8y = -48
-------------------------
Plug in -8 for x
(8) (-8) + 8y = -48
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Simplify
</span><span><span><span>(8) </span><span>(<span>−8</span>) </span></span>+ <span>8y </span></span>= <span>−<span>48
</span></span><span><span>−64 </span>+ <span>8y </span></span>= <span>−<span>48
</span></span><span><span>8y </span>− 64 </span>= <span>−<span>48
</span></span>-----------------------------------------
Add 64 to each side
<span><span><span>8y </span>− 64 </span>+ 64 </span>= <span><span>−48 </span>+ 64
</span><span>8y </span>= <span>16
</span>---------------------------------------------------
Finally, divide each side by 8
8y ÷ 8 = 16 ÷ 8
y = <span>2
</span>----------------------------------------------------------------
y = 2 is your answer
