PLEASE HELP!!!

And if you can show your work that would be nice!!

The measure of central angle LOP is °.
-45
-90
-180
-360

The length of LP is units.
-8.5
-16.5
-17
-34

The length of MP is units.
-8
-15
-17
-20

PLEASE HELP And if you can show your work that would be nice The measure of central angle LOP is 45 90 180 360 The length of LP is units 85 165 17 34 The length class=

Respuesta :

Answer:

LOP = 180

LP =17

MP = 15

Step-by-step explanation:

The central angle is a straight line = 180



OP = 8.5

LP = 2OP = 17


MP

using the pythagorean theorem

a^2 +b^2 = c^2

8^2 + MP^2 = 17^2

64 + MP^2= 289

subtract 64 from each side

MP^2 = 289-64

MP^2 = 225

take the square root of each side

sqrt(MP^2) = sqrt(225)

MP = 15


Answer:


C, C, B


Step-by-step explanation:

C:  We know LOP is a flat line so 180 degrees

C:  We know OP is 8.5 and O is about the midpoint of LP so LO is the same as     OP (8.5) So just double 8.5 to get 17

B:  Use Pythagorean theorem [tex]a^{2} +b^{2} =c^{2}[/tex]  In which a and b are the two perpendicular lines (meet at a 90 degree angle) and c is the hypotenuse. We can the insert the numbers [tex]8^{2} + b^{2} = 17^{2}[/tex]

Then solve like normal. Or enter into a specialized equation calculator. But ill show how just incase you want to know. So squared is the little 2 on all the numbers. So, it means multiply the number by its self. You get [tex]64+b^{2}=289[/tex] Then subtract 64 from both sides to get [tex]b^{2} = 225[/tex]

Then square root both sides to get rid of the squared. [tex]b = 15[/tex]  so  the length of MP is 15

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