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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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To make them equal, first find the different;

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If Carson pours 1⁵/₈ pints from the second Can, it would increase the first can to 4⁷/₈ pints whilst reducing the second can to 4⁷/₈ pints as well.

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3 years ago
Jackson is starting an exercise program. The first day he will spend 30 minutes on the treadmill. He will increase his time on t
yulyashka [42]

Answer:

40 minutes.

Step-by-step explanation:

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= 30 +2(d-1) minutes

[where d represents day number]

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so substitute d=1 and check it will be 30 only.

on first day he will spend 30 minutes so, I added 30 .

and on every additional day( these additional days are excluding first day), he will increase the time by 2 minutes.so, I added 2(d-1) to initial 30 minutes)

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4 years ago
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bixtya [17]

Answer:

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Let h be the cylinders height and r the radius.

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-Since the cone is within the cylinder, it has the same radius as the cylinder.

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The volume of the  solid section of the cylinder is calculated by subtracting the cone's volume from the cylinders:

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4 years ago
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