Use the expression to complete the table.<br>**Look above for the picture.

The sides OP and RO of triangle POR are produced to points S and T respectively. If ∠SPR = 145° and ∠POT = 115° , find ∠PRO

Margarita [4]

Answer:

$\angle PRQ = 80$

Step-by-step explanation:

Given

$\angle SPR = 145^o$

$\angle POT = 115^o$

See attachment

Required

Find $\angle PRO$

First, calculate $\angle RPO$

$\angle RPO + \angle SPR = 180$ --- angle on a straight line

So, we have:

$\angle RPO + 145 = 180$

Collect like terms

$\angle RPO = 180 - 145$

$\angle RPO = 35$

Next, calculate PQR

$\angle POR + \angle POT = 180$

So, we have:

$\angle POR + 115 = 180$

Collect like terms

$\angle POR = 180-115$

$\angle POR = 65$

So, PRO is calculated as:

$\angle PRO + \angle POR + \angle RPO = 180$ --- angles in a triangle

So, we have:

$\angle PRO + 65 + 35= 180$

$\angle PRO + 100= 180$

Collect like terms

$\angle PRO = 180-100$

$\angle PRO = 80$

3 0

3 years ago

X+(-13) = -5<br> if anyone can help me out , thank you <3

olga2289 [7]

Answer:

x=8.

Step-by-step explanation:

x+(-13)=-5 makes x =8.

reason:

(-13)+??=-5.

-5+8=-13

therefore x=8

5 0

2 years ago

The image below is a triangle drawn inside a circle with center O:

Alex17521 [72]

The area of a circle is,

$\pi \: \times r ^{2}$

So pi times the radius squared.

~~

To find the radius we half to divide the diameter by 2 since the radius is half of the diameter.

The diameter is the line that passes through the the center of the circle going from one side of the circle to the other which is 4 in this case.

Half of 4 is 2 meaning 2 is our radius.

~~

Plug in the numbers and get,

$3.14 \times 2^{2}$

~~

I hope that helps you out!!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey

8 0

3 years ago

Read 2 more answers

Can someone please help me with this whole page asap !!!

Valentin [98]

What answers do u need

4 0

3 years ago

The circumference of a circular frisbee is 20 centimeters. If

OlgaM077 [116]

Answer:

100cm

Step-by-step explanation:

since the circumference is 20cm and formula for finding a circumference of a circle is c=2(pi)r, where r is radius and pi is constant value which is equivalent to 22/7. so the radius of 20cm circumference is 3.1847 by using this eqn c/2(pi)=r. now the calculated radius will b multiply by 5 to get 15.92cm which is put in cirumference formula i.e. c=2(pi)r we get 100cm circumference.

7 0

3 years ago

Use the expression to complete the table.**Look above for the picture.​

Use the expression to complete the table.**Look above for the picture.