150 and the unknown angle next to it equal 180.
180 - 150= unknown angle
30 degrees= unknown angle
Then the triangle also equals 180 so we add the angles and solve for x
3x + 2x + 30= 180
5x + 30= 180
5x= 150
x= 30
3x= 3(30)= 90 degrees
2x= 2(30)= 60 degrees
Answer:
<h2>
43°</h2>
Step-by-step explanation:
In a cyclic quadrilateral, the sum of two opposite angles are equal.
m<R + m<P = 180°
plugging the values:
3y + 8 + y = 180°
Combine the like terms:
4y + 8 = 180°
Subtract 8 on both sides
4y + 8 - 8 = 180 - 8
Calculate the difference
4y = 172
divide both sides of the equation by 4
4y/4 = 172/4
calculate
y = 43°
Hope this helps...
Answer:
Mimi is 15.
Step-by-step explanation:
Set up two equations, and solve by elimination.
2(m+5) = d+5
- 3(m-5) = d-5
_____________
2(m+5) - 3(m-5) = 10
2m + 10 - 3m + 15 = 10
-m + 25 = 10
-m = -15
<u>m = 15</u>
Plug this back in to get dad's age.
2(m+5) = d+5
2(15+5) = d + 5
2(20) = d + 5
40 = d + 5
<u>d = 35</u>
<u></u>
A. Randomization
The selection is based on random selection
To find the mid point add both X coordinates together and divide by 2 and then do the same with the y coordinates.
X coordinate: 4 + -6 = 4-6 = -2 / 2 = -1
Y coordinate: -2 + 3 = 1 / 2 = 1/2
Midpoint: ( -1, 1/2)
