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3 years ago

If the complement of an angle is equal to the supplement of four times the angle, then find the measure of the angle.

Mathematics

1 answer:

lisabon 2012 [21]3 years ago

6 0

Answer:

Step-by-step explanation:

Note that:

Two angles are Complementary when they add up to 90 degrees

Two angles are supplementary when they add up to 180 degrees

Let the angle = x

If the complement of an angle is equal to the supplement of four times the angle, then find the measure of the angle.

90 - x = 180 - 4x

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Which angle is in standard position?

Anni [7]

Answer:

An angle is in standard position, if its vertex is located at the origin and one ray is on the positive x-axis.

Step-by-step explanation:

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2 years ago

Read 2 more answers

Expand and simplify (2x−12) ^2

lubasha [3.4K]

Answer:

$\boxed{4x^{2} - 48x + 144}$

Step-by-step explanation:

Given expression:

(2x - 12)²

To simplify the expression, we will use the formula (a - b)² = a² - 2ab + b².

[Where "a and b" are the first and second term in (a - b)²]

$\rightarrowtail (2x - 12)^{2}$

In this case, the first term of (2x - 12)² is "2x" and the second term is "12".

$\rightarrowtail (2x)^{2} - 2(2x)(12) + (12)^{2} \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{First term = a = 2x; Second term = b = 12]}$

Now, simplify the expression.

$\rightarrowtail (2x)^{2} - 2(2x)(12) + (12)^{2}$

$\rightarrowtail (2x)(2x) - (4x)(12) + (12)(12)$

$\rightarrowtail \boxed{4x^{2} - 48x + 144}$

4 0

2 years ago

Find the volume of a cube with side lengths of fifteen feet

lidiya [134]

Answer:

3375 feet cube

Step-by-step explanation:

Given :

side of cube = 15 feet

Formula used :

Volume of cube , v = a^3

Solution :

Volume of cube

= a^3

= 15^3

= 15*15*15

= 3375 feet cube

8 0

3 years ago

1. Which of the following equations would NOT contain the point (4,12)?

vodka [1.7K]

Answer:

the answer is b hope this helps :)

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3 years ago

After the outbreak of a mysterious disease the average wait time at a hospital increased by 70% before the outbreak the average

qaws [65]

Answer:

1.7m

Step-by-step explanation:

Given that 'm' was the waiting time before the outbreak

After the outbreak, waiting time increased by 70%.

This implies that :

70% of m increase

m + 70% of m

m + 70/100 of m

m + ( 70÷100 ) × m

m + 0.7m

= 1.7m

4 0

3 years ago