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scZoUnD [109]
3 years ago
5

If MQ also bisects angle ∠LMP, find the measure of ∠QMP and find the value of x. ∠QMP = (5x + 10)º

Mathematics
1 answer:
ANTONII [103]3 years ago
7 0

Answer:

Step-by-step explanation:

If MQ also bisects angle ∠LMP, then;

<LMQ + <QMP = <LMP

Also <LMQ = <QMP

The equation becomes <QMP + <QMP = <LMP

2<QMP = <LMP

Let <LMP be 8x+40° (This is an assumed value)

2(5x+10) = 8x+40

Open the parenthesis

10x+20 = 8x+40

10x-8x = 40-20

2x = 20

x = 20/2

x = 10

Find <QMP

Since <QMP = 5x+10

<QMP = 5(10)+10

<QMP = 50+10

<QMP = 60 degrees

<em>Note that the angle <LMP was assumed. Any other function can be used depending on the question</em>

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Answer:

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Step-by-step explanation:

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7 0
2 years ago
Solve |2x - 5| = 4. {x | x = -4.5 or x = 4.5} {x | x = 0.5 or x = 4.5} {x | 0.5 &lt; x &lt; 4.5}
kotykmax [81]

<u><em>Answer:</em></u>

{x | x = 0.5 or x = 4.5}

<u><em>Explanation:</em></u>

<u>Before we begin, remember that:</u>

The modulus gives the positive value of what's inside it.

<u>This means that:</u>

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<u>Now, for the given, we have:</u>

|2x-5| = 4

<u>From the above rule, we can deduce that:</u>

<u>either:</u>

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<u>Or:</u>

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x = 0.5 ..........> second solution

<u>Now, we check:</u>

<u>at x = 4.5</u>: |2(4.5)-5| = |9-5| = |4| = 4 ..........> first solution verified

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