3 years ago

An angle measures 4° less than the measure of a complementary angle. what is the measure of each angle?

Mathematics

1 answer:

Alexus [3.1K]3 years ago

3 0

43° for each measure of an angle

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Louisa ran at an average speed of five miles per hour along an entire circular park path. Calvin ran along the same path in the

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15 miles

Step-by-step explanation:

Let $x$ be the miles in the circular park path, $t_{L}$ the time Louisa takes to finish and $t_{C}$ the time Calvin takes to finish both in hours.

Then $x$ , the longitude is equal to the velocity times the time used to finish. So

$x=5t_{L}$

$x=6t_{C}$

And the difference between Louisa's time and Calvin' time is 30 minutes, half an hour. So:

$t_{C}=t_{L}-0.5$

Three equations, three unknowns, the system can be solved.

Equalizing the equation with x :

$5t_{L}=6t_{C}$

In this last equation replace $t_{C}$ with the other equation and solve:

$5t_{L}=6(t_{L}-0.5)\\ 5t_{L}=6t_{L}-3\\ 3=6t_{L}-5t_{L}\\ 3=t_{L}\\ t_{L}=3$

With Louisa's time find x:

$x=5t_{L}\\ x=5(3)\\ x=15$

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Step-by-step explanation:

Given

$= {x}^{2} \times {x}^{ - 12 } \\ = {x}^{2 - 12} \\ = {x}^{ - 10}$

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The blue dot is at what value on the number line?

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17.

Step-by-step explanation:

one dash is equal to 2. so just go by twos

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Step-by-step explanation:

the basic formula for volume is length × width

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