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3 years ago

Find the measure of the arc or angle indicated PLEASE HELP

Mathematics

1 answer:

sleet_krkn [62]3 years ago

3 0

Answer:

Option D.

Step-by-step explanation:

step 1

Find the measure of angle F

we know that

In an inscribed quadrilateral, the opposite angles are supplementary

substitute the value of <Q

$99\°+$

step 2

Find the measure of arc PQ

we know that

The inscribed angle measures half that of the arc comprising

substitute values

$81\°=\frac{1}{2}(arc\ PQ+92\°)$

$162\°=(arc\ PQ+92\°)$

$arc\ PQ=162\°-92\°=70\°$

step 3

Find the measure of angle R

we know that

The inscribed angle measures half that of the arc comprising

substitute values

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Ksenya-84 [330]

Answer:

Step-by-step explanation:

Triangle containing 120° and y° is an isosceles triangle.

Therefore,

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3 years ago

Find the zeros of the function y=x^2-1

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Answer:

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Step-by-step explanation:

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3 years ago

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<img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%20%7B%7D%5E%7B2%7D%20%20%2B%2012x%20%2B%2036" id="TexFormula1" title="f(x)

Mars2501 [29]

Answer:

Step-by-step explanation:

We are given the function:

$\displaystyle f(x) = x^2 + 12x + 36$

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$\displaystyle f^{-1}(225)$

Let this value equal a. In other words:

$\displaystyle f^{-1}(225) = a$

Then by the definition of inverse functions:

$\displaystyle \text{If } f^{-1}(225) = a\text{, then } f(a) = 225$

Hence:

$\displaystyle f(a) =225 = (a)^2 + 12(a) + 36$

Solve for a:

$\displaystyle \begin{aligned} 225 &= a^2 + 12a + 36 \\ \\ a^2 + 12a -189 &= 0 \\ \\ (a + 21)(a-9) &= 0\end{aligned}$

By the Zero Product Property:

$\displaystyle a + 21 = 0 \text{ or } a - 9 = 0$

Hence:

$\displaystyle a = -21 \text{ or } a = 9$

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3 years ago

A person on the top of a tall building looks through his binoculars at his friend that is 300 ft away from the building on the g

Nimfa-mama [501]

Answer:

520 feet

Step-by-step explanation:

The easiest way to visualize this problem is to sketch a quick diagram.

For this problem, you are given an angle and the length of the side of a triangle. If you look at the diagram, you'll see that the length given is the opposite side of the angle given. For this situation, that means you will use the sine function (refer to SOH-CAH-TOA acronym). Then you plug in the given values and solve for x.

Hope this helps!