Question

Check all the equations that apply to meet the Segment Addition Postulate in segment OQ. OP = 6x + 5, PQ = 4x and OQ = 45.

Answer 1

Answer:

$6x + 5 + 4x = 45$

$10x = 40$

Step-by-step explanation:

Given

$OP = 6x + 5$

$PQ = 4x$

$OQ = 45$

The given parameters show that P is a point between O and Q.

So:

$OQ = OP + PQ$

Substitute values for OP, PQ and OQ

$45 = 6x + 5 + 4x$

$6x + 5 + 4x = 45$ --- This is an equation

Collect Like Terms

$6x + 4x = 45 - 5$

$10x = 40$ ------ This is another

Make x the subject

$x = \frac{40}{10}$

$x = 4$