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2 years ago

Plz help when you see this

Mathematics

1 answer:

kolezko [41]2 years ago

5 0

Answer:

126

Step-by-step explanation:

angle ZWY = 180 - 90 - 63 = 27

Base on the given information, the length of XW is same with the length of ZW, which means they have the same angle.

Quadrangle has angle of 360

360(quadrangle) - 27(ZWY)- 27(XWY) - 90(WZY) - 90(WXY)

= 126

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GJ is a midsegment of triangle DEF, and HK is a midsegment of triangle GFJ. What is the length of HK?

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Option B) 4 centimeters

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the value of n

we know that

a) GJ is a midsegment of triangle DEF

then

G is the midpoint segment DF and J is the midpoint segment EF

DG=GF and EJ=JF

b) HK is a midsegment of triangle GFJ

then

H is the midpoint segment GF and K is the midpoint segment JF

GH=HF and JK=KF

In this problem we have

HF=7 cm

GH=7 cm

GF=GH+HF ----> by addition segment postulate

GF=7+7=14 cm

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DG=GF

substitute the given values

$2n-1=14$

solve for n

$2n=14+1$

$2n=15$

$n=7.5\ cm$

step 2

Find the length of GJ

we know that

The <u><em>Midpoint Theorem</em></u> states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side

$GJ=\frac{1}{2}DE$