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3 years ago

An angle measures 10° more than the measure of its complementary angle. What is the

Mathematics

1 answer:

ohaa [14]3 years ago

8 0

Answer:

50 and 40

Step-by-step explanation:

Complimentary angles must add up to equal 90 degrees. Therefore, you must find two numbers that add to 90 and have a difference of 10. Try different number values until this is true. One must be 50 and the other 40 degrees.

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PLEASE HELP i will give you a brainly

Lady bird [3.3K]

Answer:JKL and ∠RST are complementary.

m∠JKL = 36° and m∠RST = ( x + 15)°.

Find the value of x and the measure of ∠RST .

complementary angles are two angles whose sum is 90°

36%2Bx+%2B+15=90°

51%2Bx+=90°

x+=90-51°

x+=39°

->the measure of ∠RST== ( 39 + 15)=54°

both answer and explanation

8 0

3 years ago

WILL MARK BRAINLIEST <br><br> what is the domain of (f/g) (x)?

tatyana61 [14]

Given that $f(x) = \sqrt{7-x}$ and $g(x) = \sqrt{x + 2}$ , we can say the following:

$\Bigg(\dfrac{f}{g}\Bigg)(x) = \dfrac{f (x)}{g(x)} = \dfrac{\sqrt{7 - x}}{\sqrt{x+2}}$

Now, remember what happens if we have a negative square root: it becomes an imaginary number. We don't want this, so we want to make sure whatever is under a square root is greater than 0 (given we are talking about real numbers only).

Thus, let's set what is under both square roots to be greater than 0:

$\sqrt{7 - x} \Rightarrow 7 - x \geq 0 \Rightarrow x \leq 7$

$\sqrt{x + 2} \Rightarrow x + 2 \geq 0 \Rightarrow x \geq -2$

Since both of the square roots are in the same function, we want to take the union of the domains of the individual square roots to find the domain of the overall function.

$x \leq 7 \,\,\cup x \geq -2 = \boxed{-2 \leq x \leq 7}$

Now, let's look back at the function entirely, which is:

$\Bigg( \dfrac{f}{g} \Bigg)(x) = \dfrac{\sqrt{7 - x}}{\sqrt{x+2}}$

Since $\sqrt{x + 2}$ is on the bottom of the fraction, we must say that $\sqrt{x + 2} \neq 0$ , since the denominator can't equal 0. Thus, we must exclude $\sqrt{x + 2} = 0 \Rightarrow x + 2 = 0 \Rightarrow x = -2$ from the domain.

Thus, our answer is Choice C, or $\boxed{ \{ x | -2 < x \leq 7 \}}$ .

<em>If you are wondering why the choices begin with the $x |$ symbol, it is because this is a way of representing that $x$ lies within a particular set.</em>

6 0

3 years ago

A cone is 3 inches high and has a base with a surface area of 7 square inches. What is the volume of the cone?

lawyer [7]

Answer: the answer should be 7

Step-by-step explanation: V=πr2h

3=π·1.52·3

3≈7.06858

you can find the radius for the area of the base 7 by dividing by $\pi$ like such 7/3.1459 the squared because remember its in r2 form which give you 1.5 then plug this in for one of two ways to solve A· $\pi$ 1/3 or V=πr2h