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.
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Complete Question:
Given that line segment FG = 37 and segment HG = 13, find segment FH.
Answer:
y=17/5 ,x= 38
Step-by-step explanation:
-4+5y =13 add 4 both side
4-4+5y=13+4
5y=17
5y/5=17/5 y=17/5
x-5y=21
x-5(17/5)=21
x-17=21
x=21+17= 38
Answer:
see below
Step-by-step explanation:
1. 0 = (r + 1)(r + 8)
Using Zero Product Property, r = -1, r = -8
2. h(r) = (r + 1)(r + 8)
= r² + 9r + 8
= (r + 9/2)² - 81/4 + 8
= (r + 4.5)² - 12.25 (Complete the square)
Vertex: (-4.5, -12.25)
5 is you answer because absolute value is the distance on a number line from 0