Answer:
Step-by-step explanation:
- <em>A line segment that connects two midpoints of the sides of a triangle is called a midsegment.</em>
- <em>A triangle midsegment is parallel to the third side of the triangle and is half of the length of the third side.</em>
Point J is midpoint of side HI as HJ = JI
Point K is midpoint of side GI as GK = KI
JK is midsegment as connects the midpoints of the sides
JK = 1/2HG as per property of midsegment
- 6x - 4 = 10x/2
- 6x - 4 = 5x
- 6x - 5x = 4
- x = 4
JK = 6x - 4 = 6*4 - 4 = 24 - 4 = 20 m
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Hey there!
<h2>
ANSWER: 
</h2><h2>
EXPLANATION:</h2>
Ratio of 
If you want to get the ratio, you should multiply the numerator(7) and denominator(3) by 2.
So your answer is:
Hope this helps!
<h3>
Answer: x = 9</h3>
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Explanation:
The smaller angles HGE and EGF combine to form the largest angle HGF.
This is an example of the angle addition postulate.
(angle HGE) + (angle EGF) = angle HGF
(3x+11) + (110) = 16x+4
3x+121 = 16x+4
121-4 = 16x-3x
117 = 13x
13x = 117
x = 117/13
x = 9 which is the final answer
We can stop here.
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Extra info (optional section)
Use this x value to find each angle shown below
- angle HGE = 3x+11 = 3*9+11 = 27+11 = 38 degrees
- angle HGF = 16x+4 = 16*9+4 = 144+4 = 148 degrees
Then notice how,
(angle HGE)+(angle EGF) = 38+110 = 148
which is exactly the measure of angle HGF
This confirms that the equation
(angle HGE) + (angle EGF) = angle HGF
is true for that x value of x = 9. Therefore, the answer is confirmed.
