Mathematics, 10.07.2019 15:20 janeou17xn

If three times the supp. of an angle is subtracted from seven times the comp. of the angle, the answer is the same a that obtained by trisecting a right angle. find the supplement.

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Alright, let's start by giving some notation to "an angle." We'll use the Greek letter $\theta$ to denote it.

Next, we'll need to review a few definitions:

- Two supplementary angles add up to a straight angle, or 180°
- Two complementary angles add up to a right angle, or 90°
- Trisecting an angle is splitting a larger angle into three equal smaller angles.

If we call $\theta$ 's supplement $\beta$ and $\theta$ 's complement $\alpha$ , we know that:

$\theta+\beta=180\\ \theta+\alpha=90$

or, if we want to put everything in terms of $\theta$ :

$\beta=180-\theta\\\alpha=90-\theta$

We're given from the problem that $3\beta$ is being subtracted from $7\alpha$ , which in terms of $\theta$ gives us:

$7(90-\theta)-3(180-\theta)$

Next, we're told that this expression is equal to the angle obtained by trisecting a right angle. A right angle is equal to 90°, so trisecting it, we get the angle 90°/3 = 30°.

Putting everything together, we have:

$7(90-\theta)-3(180-\theta)=30$

From there, solve for $\theta$ , but remember that the question asks for the supplement of $\theta$ , not $\theta$ itself. Fortunately, we have an equation from earlier for the supplement, $\beta$ :

$\beta=180-\theta$

Simply put your result from solving for $\theta$ into that equation and solve, and you'll have your answer.

Answer from: Quest

a=r

d=q

c=p

b=s

hope this !

The two figure shown above are congruent. identify the corresponding sides and angles.

Answer from: Quest

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841

Lots of points! show all of your work! i need #9-#14 and 12 + 16!

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If three times the supp. of an angle is subtracted from seven times the comp. of the angle, the answ...