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3 years ago

What is the measure of an angle if it is 70 less than three times its own complement?

2 answers:

4 0

Let the angle be x.

Hence, its complement is 90 - x.

x = 3* (90 - x) - 70 = 270 - 3x - 70 = 200 - 3x

4x = 200

x = 50

Thus, the angle is 50°.

lyudmila [28]3 years ago

4 0

The complement of an angle is what you add to it to get 90 degrees

if the angle is x, then the complement is y such that x+y=90

an angle is 70 less than 3 times it's complement
x=-70+3y

hmm
x+y=90
minus x both sides
y=90-x
subsitute 90-x for y

x=-70+3y
x=-70+3(90-x)
x=-70+270-3x
x=200-3x
add 4x to both sides
4x=200
divide both sides by 4
x=50
the angle is 50°

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(Explanations down below!)

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3 years ago

The square of a number is 12 less than 7 times the number. What is the number?

hjlf

Answer:

The number is either 3 or 4

Explanation:

Assume that the number we are looking for is x

The square of the number would be x²

7 times the number would be 7x

We are given that:

square of the number (x²) is 12 less than 7 times the number (7x)

Translating this into an equation, we would have:

x² = 7x - 12

Rearranging the quadratic equation:

x² - 7x + 12 = 0

Now, we factor the equation:

(x-4)(x-3) = 0

This means that:

either x-4 = 0 ..................> x = 4

or x-3 = 0 ........................> x = 3

Let's check if any of the solutions is an extrovert:

For x = 3 .............> (3)² = 7(3) - 12 .........> 9 = 21 - 12 .......> 9 = 9 .......> not extrovert

For x = 4 .............> (4)² = 7(4) - 12 .........> 16 = 28 - 12 .....> 16 = 16 ....> not extrovert

Since we have no restrictions on the number, therefore, both solutions would be accepted

Hope this helps :)

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3 years ago