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
<h3>Answer is 3</h3>
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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).
<h3>Answer: 5</h3>
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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
<h3>Answer: 10</h3>
Answer:
y-2x=8 (label equation 1)
16+4x=2y (label equation 2)
divide equation 2 by 2 to find y
y=2x+8
sub this in equation 1
(2x+8)-2x=8
2x+8-2x=8
8=8
once you get to this point because 8=8 there are an infinite number of solutions because you can't divide by 0. So the answer is B
Answer:
Step-by-step explanation:
r = d/2
r = 4/2
r = 2
pi = 3.14
Circumference = 2 * pi * r
Circumference = 2 * 3.14 * 2
Circumference = 12.56
Area = pi r^2
Area = 3.14 * 2^2
Area = 4 * 3.14
Area = 12.56
Step 1 : Find the difference [ 891 - 876 = 15 ]
Step 2 : Determine the percentage
Answer: 15% from last year
:)
1.x+4y- - 67 =-1
x+4y+67=-1
x+4y=-1-67
X+4y=-68
2.2x-y+2z=-7
2x=-7+y-2z
x=-7/2+1/2y-z
x=-7/2+1/2y-z, y€R, z€R
Warning: I don’t have the € and R
3.-x+2y- -43=5
-x+2y+43=5
-x+2y=5-43
-x+2y=-38
x-2y=38
Hope this helps!
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