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Elenna [48]
2 years ago
13

Triangle G F E is cut by line segment H J. Line segment H J goes from side G E to F E. The length of G F is 4 x minus 4, the len

gth of H J is x + 3, and the length of J E is x minus 1.
If H is the midpoint of GE and J is the midpoint of FE, determine the following lengths.

HJ =

JE =
Mathematics
1 answer:
alexira [117]2 years ago
5 0

Answer:

HJ = 8  JE = 4

Step-by-step explanation:

it is given that H is the midpoint of GE and J is the midpoint of FE. According to the midpoint theorem the line segment connecting the midpoint of two sides is parallel to the three side and its length is half of the third side. since JH is connecting the midpoints.

HJ= 1/2 (GF)

x + 3 = 1/2 (4x - 4)

x + 3 = 2x - 2

x = 5

^ Thus meaning the value of x is 5.

Now you just fill into your equations:

HJ = x + 3 = (5)  + 3 = 8

JE = x - 1 = (5) - 1 = 4

Therefore, HJ = 8; JE = 4.

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300%

Step-by-step explanation:

3 difference increase

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2 years ago
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prohojiy [21]

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<em>146</em>

Step-by-step explanation:

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7 0
2 years ago
-4x+5 + -13x+39=180 angle measure
mylen [45]

Step-by-step explanation:

−4x+5−13x+39=180

Step 1: Simplify both sides of the equation.

−4x+5−13x+39=180

−4x+5+−13x+39=180

(−4x+−13x)+(5+39)=180(Combine Like Terms)

−17x+44=180

−17x+44=180

Step 2: Subtract 44 from both sides.

−17x+44−44=180−44

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Step 3: Divide both sides by -17.−17x

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5 0
2 years ago
I need help please !!
lana [24]
What do you need help with?
3 0
3 years ago
Read 2 more answers
Someone help me plzz
galina1969 [7]
Answer: y=5x+3
Step by step explanation:
Perpendicular meaning that the product of the slope/gradient is -1 hence ...
-1/5 * x = -1
x = -1/-1/5
x = 5
The equation perpendicular to y=-1/5x-3 is y=5x-c
Now it contains the points (1,2)
x variable is 1 and y variable is 2 plug them into the line equation
2=5(1)-c
2=5-c
2-5=-c
-3=-c divide by -1
3=c
Hence the perpendicular equation is y=5x+3
Hopefully it’s correct :)
5 0
2 years ago
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