Question

Can someone help please?!?! Quickly

Answer 1

Part 1) Finding x

Note the double tickmarks for segments XY and YZ. This indicates the segments are the same length, which leads to point Y being the midpoint of segment XZ.

Therefore, XZ is twice as long as XY

XZ = 2*( XY )

XZ = 2*( 2x-1 )

XZ = 4x - 2

We also know that XZ = 2(3x-4) = 6x-8. Let's equate 4x-2 and 6x-8 and solve for x

6x-8 = 4x-2

6x-4x = -2+8

2x = 6

x = 6/3

x = 3

Answer is 3

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Part 2) Finding the length of YZ

The resut of part 1 (x = 3) is plugged into the equation for XY to get

XY = 2*x-1

XY = 2*3-1

XY = 6-1

XY = 5

Segment XY is 5 units long. So is segment YZ as these two segments are the same length (aka congruent).

Answer: 5

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Part 3) Finding the length of segment XZ

The answer from the previous part was 5. This doules to 5*2 = 10

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A longer way to get the same answer is to plug x = 3 into the XZ equation and we get...

XZ = 2*(3x-4)

XZ = 2*(3*3-4)

XZ = 2*(9-4)

XZ = 2*5

XZ = 10

and we get the same answer

Answer: 10