The true statement about the diagram is (a) IJ ≅ JG
<h3>How to determine the true statement?</h3>
From the question, we understand that:
KH bisects line IG at point J
This means that:
Line segment IG is divided into two equal parts, and point J is the middle
So, we have:
IJ ≅ JG
Hence, the true statement about the diagram is (a) IJ ≅ JG
Read more about perpendicular bisector at:
brainly.com/question/24753075
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Answer: x = 7.2, y = 7.5
<u>Step-by-step explanation:</u>
Similar triangles have the same proportions.
Since ABC ≅ DEF, then 
<u>Let's solve for x:</u>
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<u>Let's solve for y:</u>
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Let us assume the length of the first shelf = x
Then
The length of the second shelf = 2x + 18
Length of the third shelf = x -12
Length of the fourth shelf = x + 4
The total length of the board = 2.5 meters.
= ( 2.5 * 100) cm
= 250 cm
Then we can write the equation as
x + 2x + 18 + x - 12 + x + 4 = 250
5x + 10 = 250
After dividing both sides of the equation by 5 we get
x + 2 = 50
x = 50 - 2
= 48
Then
The length of the second shelf = 2x + 18
= 2(48) + 18
= 96 + 18
= 116
So the length of the second shelf is 116 cm.
