Coordinates of P: (a,b)
coordinates of Q:(3a,b)
coordinates of R:(2a,0)
i jus got a 100% on the quiz
Answer:
x = 3/10
Step-by-step explanation:
−1/2 − (−4/5) = x
First, switch sides.
x = −1/2 − (−4/5)
You are subtracting a negative number. Subtracting a negative number means add a positive number.
x = -1/2 + 4/5
Now you are adding two fractions, so you need a common denominator. The LCD of 2 and 5 is 10.
x = -5/10 + 8/10
x = 3/10
A rhombus is a parallelogram with four equal sides and two sets of equal angles.
If the m<1=160°, then the angle opposite (3) would also be 160°.
m<3=160°.
Becuase it is a parallelogram, the sum of the measurment of two angles that share a line would be 180 (supplementary).
m<2 and m<4 is 20°.
10 to the power of 3 is 1000, and 400 divided by 1000 is 0.4 because you move the decimal place over 3 in the number 400 to get 0.4.
Exterior angle theorem
16x - 7 = 8x + 2 + 10x - 19 ===> 16x -7 = 18x - 17
16x - 16x - 7 = 18x - 16x - 17 ===> -7 = 2x - 17
-7 + 17 = 2x - 17 + 17 ===> 10 = 2x ======> 5 = x
Plug x in to each equation.
Angle P: 8(5) + 2 = 42 deg, Angle Q: 10(5) - 19 = 31
The sum of interior angles = 180. 180 - 42 -31 = 107 deg (angle of PRQ)
To check that line other angle : 16(5) -7 = 73 deg + 107 = 180 deg
