Point p is on line segment OQ. Given PQ=x+7,OP=4x-10,and OQ=4x, determine the numerical length of oq

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Mathematics Neala 5 years 2021-08-30T16:41:55+00:00 2021-08-30T16:41:55+00:00 1 Answers 37 views 0

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Captcha* Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )

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thienthanh · Answer 1 · 2021-08-30T16:43:43+00:00

thienthanh

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2021-08-30T16:43:43+00:00 August 30, 2021 at 4:43 pm

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Given:

Point P is on line segment OQ.

PQ=x+7,OP=4x-10,and OQ=4x.

To find:

The numerical length of OQ.

Solution:

Since, point P is on line segment OQ, so by segment addition property, we get

$OQ=OP+PQ$

$4x=(4x-10)+(x+7)$

$4x=(4x+x)+(7-10)$

$4x=5x-3$

$4x-5x=-3$

$-x=-3$

$x=3$

The value of x is 3.

Now,

$OQ=4x$

Putting x=3, we get

$OQ=4(3)$

$OQ=12$

Therefore, the numerical length of OQ is 12 units.