TQRS is an inscribed quadrilateral.
5 x - 52° + 3 x + 40° = 180°
8 x - 12° = 180°
8 x = 180° + 12°
8 x = 192°
x = 192° : 8 = 24°
m∠ R = 3 · 24° + 40° = 112°
m∠ T = 5 · 24° - 52° = 68°
m∠ S = 360° - ( 68° + 68° + 112° ) = 112°
Answer:
m∠R, m∠S, m∠T = 112°, 112°, 68°.

4 0

3 years ago

Read 2 more answers

Please help me <br> thank you

lilavasa [31]

Use the Pythagorean theorem. We have legs with lengths of 15 and 20 miles, now let's solve for the hypotenuse.

$a=15$
$b=20$
$c=?$

$a^2+b^2=c^2$
$15^2+20^2=c^2$
$c^2=400+225=625$
$c=25$

Your answer is 25 miles. Hope this helps! :)

7 0

3 years ago

One number is six times as large as another. The sum of their reciprocal is 7. What are the numbers

RideAnS [48]

X=6y

sum of their reciprocals
(1/x)+(1/y)=7
x=6y
1/6y+1/y=7
1/6y+6/6y=7
7/6y=7
times both sides by 6y
7=42y
divide both sides by 42
1/6=y

x=6y
x=6(1/6)
x=6/6
x=1

the numbers are 1 and 1/6

5 0

3 years ago