All categories

3 years ago

What is the answer to

Mathematics

2 answers:

Travka [436]3 years ago

6 0

Explanation:

The sum of the measures of the interior angles of a triangle is 180°. Then the sum of the given angles is 180°:

m∠P +m∠Q +m∠R = 180°

(5x)° +(5x)° +(8x)° = 180°

18x = 180 . . . . . . . . . . . . . . . collect terms, divide by °

x = 10 . . . . . . . . . . . . . . . . . . divide by 18. This is your desired result.

Temka [501]3 years ago

5 0

Explanation:

The sum of the measures of the interior angles of a triangle is 180°. Then the sum of the given angles is 180°:

m∠P +m∠Q +m∠R = 180°

(5x)° +(5x)° +(8x)° = 180°

18x = 180 . . . . . . . . . . . . . . . collect terms, divide by °

x = 10 . . . . . . . . . . . . . . . . . . divide by 18. This is your desired result.

You might be interested in

HELP ME PWEASE!!!!!!!

Sergeu [11.5K]

Step-by-step explan

8 0

3 years ago

A regular hexagon is inscribed in a circle as shown determine the measure of FE

Ostrovityanka [42]

The complete question in the attached figure

we know that
1) The triangles that are formed in the hexagon by joining all the vertices with the center of the hexagon are all equilateral and are equal in size
therefore
the radius of the circle is equals to the length side of the regular hexagon
FE=BP--------> FE=6 cm

the answer is
FE=6 cm

3 0

3 years ago

Read 2 more answers

Find all solutions to the equation in the interval [0, 2π). cos 2x - cos x = 0

Jlenok [28]

This is the concept of algebra, to solve the expression we proceed as follows;
cos 2x-cosx=0
cos 2x=cosx
but:
cos 2x+1=2(cos^2x)
thereore;
from:
cos 2x=cos x
adding 1 on both sides we get:
cos 2x+1=cos x+1
2(cos^2x)=cosx+1
suppose;
cos x=a
thus;
2a^2=a+1
a^2-1/2a-1/2=0
solving the above quadratic we get:
a=-0.5 and a=1
when a=-0.5
cosx=-0.5
x=120=2/3π
when x=1
cos x=1
x=0
the answer is:
x=0 or x=2/3π

4 0

3 years ago

Read 2 more answers

What is the area of this circle?

Juli2301 [7.4K]

Answer:

The area will be 113.1

Step-by-step explanation:

hope it helps u

have a great day

5 0

3 years ago

The Houston rockets scored 66 points in the second half. There are 24 minutes in a half. What was the average number of points p

anastassius [24]

The answer is 2.75, I believe.

3 0

3 years ago