Answer:
Step-by-step explanation:
Remark
An angle bisector sets up a triangle ratio that looks like the following proportion.
3x - 3 5x
====== = ====== Cross multiply
24 44
44*(3x-3) = 24*5x Remove the brackets on the left
132x - 132 = 24*5x Combine the right side
132x - 132 = 120x Add 132 to both sides
132x = 120x + 132 Subtract 120x from both sides
132x- 120x = 132 Combine
12x = 132 Divide by 12
x = 11
Answer:
(x-4) (x+1)
step by step explanation:,



h has infinitely many solutions.
Answer:
Angle x= 60°
Step-by-step explanation:
For the triangle HIL, you're going to add 30+90=120
Angles in a triangle add up to 180.
So, therefore,
180-120=60 so angle L must equal 60.
HJ is a straight line and angles in a straight line add up to 180.
180-90=90
Angle JIL is equal to 90.
To find y you add 90+45 which equals 135.
Again, angles in a triangle add up to 180.
180-135=45
So,
y = 45
Now we are told that IJK is a right angle and that we are given that IJL is 45. 45 is half of 90 so LJK must be 45.
To find angle JLK we must add angle L and angle y.
60+45=105
Angles in a straight line add up to 180. So,
180-105=75
75 = Angle JLK
75+45=120
Angles in a triangle add up to 180 so,
180-120= 60
Angle x= 60°
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Answer:

Step-by-step explanation:
we know that
The area of a circle is equal to

In this problem we have

Substitute and find the area

Remember that
subtends the area of complete circle
so
by proportion
Find the area of the shaded regions
The central angle of the shaded regions is equal to 
