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4 years ago

Plz help i dont understand

Mathematics

1 answer:

Elina [12.6K]4 years ago

5 0

You can search in google if you want for the "inscribed quadrilateral conjecture"

and if you want... I can give you a quick proof of it

hmmm in short, if you inscribe a quadrilateral polygon in a circle
it will have 4 angles

each pair of opposite angles, are "supplementary angles", or they add up to 180°

so.. that said in yours, R+P = 180 and Q+O = 180 as well

you only need Q

so $\bf \measuredangle Q+\measuredangle O=180\qquad 
\begin{cases}
\measuredangle Q=2x+4\\\\
\measuredangle O=2x
\end{cases}\implies (2x+4)+(2x)=180$

solve for "x"

how big is Q? well, 2x + 4 :)

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4 years ago

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Step-by-step explanation:

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4 years ago

Please help me with this question

swat32

Answer:

<h3>• y is 10.9</h3><h3>• theta is 65.4°</h3><h3>• Alpha is 24.64°</h3><h3>• sin theta is 10.9/12</h3><h3>• COS theta is 5/12</h3><h3>• tan theta is 10.9/5</h3><h3>• csc theta is 12/10.9</h3><h3>• ces is 12/5</h3><h3>• cot theta is 5/10.9</h3>

Step-by-step explanation:

<h3>Solution 1</h3>

Using the Pythagorean theorem

c²= a² + b², where c is the hypotenuse , a And b are the sides.

12² = y² + 5²

144 = y² + 25

144 - 25 = y²

√119 = √y²

10.9 = y

<h3>Solution 2</h3>

Using SOH-CAH-TOA

COS theta = Adjacent/Hypothesis

COS theta = 5/12

COS theta = 0.417

theta = COS-1 0.417

theta = 65.4°

<h3>theta is 65.4°</h3>

<h3>Solution 3</h3>

We are dealing with right triangle and it sum is 90.

To find Alpha subtract theta for 90

Alpha = 90 - 65.4 = 24.64°

<h3>Therefore Alpha is 24.64°</h3>

<h3>Solution 4</h3>

Using SOH-CAH-TOA

sin theta = opposite/ hypotenuse

sin theta = 10.9/12

<h3>sin theta is 10.9/12</h3>

<h3>Solution 5</h3>

Using SOH-CAH-TOA

COS theta = Adjacent/Hypothesis

COS theta = 5/12

<h3>COS theta is 5/12</h3>

<h3>Solution 6</h3>

Using SOH-CAH-TOA

tan theta = opposite/adjacent

tan theta = 10.9/5

<h3>tan theta is 10.9/5</h3>

<h3>Solution 7</h3>

csc theta is the reciprocal of sin theta

csc theta = 12/10.9

<h3>csc theta is 12/10.9</h3>

<h3>solution 8</h3>

ces theta is the reciprocal of COS theta.

ces theta = 12/5

<h3>Solution 9 </h3>

cot theta is the reciprocal of tan theta

cot theta = 5/ 10.9

<h3>cot theta is 5/10.9</h3>

6 0

2 years ago

Read 2 more answers