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3 years ago

An angle measured 10 degrees less than the measure of its complementary angle. Find the measure of both angles

Mathematics

1 answer:

Mazyrski [523]3 years ago

3 0

Answer:

The measure of the angles are 40 degrees and 50 degrees

Step-by-step explanation:

Let

x ----> the measure of one angle in degrees

y ----> the measure of the complementary angle in degrees

we know that

If two angles are complementary, then their sum is equal to 90 degrees

$x+y=90$ ----> equation A

we have that

$x=y-10$ ----> equation B

Substitute equation B in equation A and solve for y

$(y-10)+y=90\\2y-10=90\\2y=100\\y=50$

Find the value of x

$x=50-10=40$

therefore

The measure of the angles are 40 degrees and 50 degrees

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3 years ago

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th

olchik [2.2K]

Answer:

14.52 seconds.

Step-by-step explanation:

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Let us solve for x using quadratic formula.

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$x=\frac{-224\pm\sqrt{50176+7744}}{-32}$

$x=\frac{-224\pm\sqrt{57920}}{-32}$

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Upon rounding to nearest 100th of second, we will get:

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3 years ago

Read 2 more answers

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2 years ago

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