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Bunuel
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Y is a point on line segment XZ such that XY = 1/2*XZ. If the length 06 Dec 2018, 04:32
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Difficulty:

5% (low)

Question Stats:

91% (01:16) correct 9% (02:28) wrong based on 80 sessions

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Y is a point on line segment XZ such that \(XY = \frac{1}{2}*XZ\). If the length of YZ is 4a + 6, and the length of XZ is 68, then a =

A. 3
B. 4
C. 5
D. 6
E. 7
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E
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Y is a point on line segment XZ such that XY = 1/2*XZ. If the length 06 Dec 2018, 05:21
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Bunuel
Y is a point on line segment XZ such that \(XY = \frac{1}{2}*XZ\). If the length of YZ is 4a + 6, and the length of XZ is 68, then a =

A. 3
B. 4
C. 5
D. 6
E. 7
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xy*2=xz
xz=68 so xy= 34
and yz = 68-34= 34
34=4a+6
a= 7 IMO E
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Y is a point on line segment XZ such that XY = 1/2*XZ. If the length 09 Dec 2018, 09:07
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Archit3110
Bunuel
Y is a point on line segment XZ such that \(XY = \frac{1}{2}*XZ\). If the length of YZ is 4a + 6, and the length of XZ is 68, then a =

A. 3
B. 4
C. 5
D. 6
E. 7


xy*2=xz
xz=68 so xy= 34
and yz = 68-34= 34
34=4a+6
a= 7 IMO E
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i dont understand everything after the "and"... may you elaborate
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Y is a point on line segment XZ such that XY = 1/2*XZ. If the length 09 Dec 2018, 09:27
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gota900
Archit3110
Bunuel
Y is a point on line segment XZ such that \(XY = \frac{1}{2}*XZ\). If the length of YZ is 4a + 6, and the length of XZ is 68, then a =

A. 3
B. 4
C. 5
D. 6
E. 7


xy*2=xz
xz=68 so xy= 34
and yz = 68-34= 34
34=4a+6
a= 7 IMO E
i dont understand everything after the "and"... may you elaborate
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Solution attached gota900

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Y is a point on line segment XZ such that XY = 1/2*XZ. If the length 09 Dec 2018, 10:27
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Bunuel
Y is a point on line segment XZ such that \(XY = \frac{1}{2}*XZ\). If the length of YZ is 4a + 6, and the length of XZ is 68, then a =

A. 3
B. 4
C. 5
D. 6
E. 7
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Given XZ = 68

Also, XY + YZ = 68 ----- (I)

XY = XZ/2

Therefore, XY = 68/2 = 34 -------(II)

YZ = 4a + 6 ------(III)

From (I) and (II),

YZ = 68 - 34 = 34

Put YZ = 34 in (III)

34 = 4a + 6

a = 28/4

a = 7 (E)
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Y is a point on line segment XZ such that XY = 1/2*XZ. If the length 24 Nov 2024, 03:16
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