Answer:
x = 18
m<A = 166°
Step-by-step explanation:
The parallel lines are cut by a transversal, so corresponding angles A and B are congruent.
7x + 40 = 3x + 112
4x = 72
x = 18
m<A = 7x + 40 = 7(18) + 40 = 126 + 40 = 166
The slope of a graph is rise over run. So count how many units up you move and put that over how many units right you move. If you are moving down or to the left it would be negative.
Answer:
15 pi
Step-by-step explanation:
The circumference of the circle is given by
C = pi * d
C = pi *18
We are subtracting part of the circumference that covers 60 degrees
The entire circle is 360 degrees
60/360 = 1/6
We are subtracting 1/6 of the circumference
1/6 *18pi = 3pi
We have 18pi and subtract 3pi = 15pi
The dark shaded arc is 15pi
Answer:
{x,y} = {2,7}
Step-by-step explanation:
// Solve equation [1] for the variable y
[1] y = -4x + 15
// Plug this in for variable y in equation [2]
[2] 3x + 5•(-4x+15) = 41 [2] -17x = -34
// Solve equation [2] for the variable x
[2] 17x = 34 [2] x = 2
// By now we know this much :
x = 2 y = -4x+15
// Use the x value to solve for y
y = -4(2)+15 = 7
Answer:
C
Step-by-step explanation:
The brackets indicate that you must add up the other 3 angles first before being subtracted by 360, which is the correct answer.
