Answer: 44 degrees.
Step-by-step explanation: Since the sum of the measures of the angles in a triangle add up to 180 degrees, we can figure out the measure of the third angle by adding the first two angles and subtracting the sum from 180. 102 + 34 = 136. 180 - 136 = 44, so the measure of the third angle is 44 degrees.
Answer: x = 6.56
Step-by-step explanation: -0.4x - 0.5 + x = 3.63
-0.4x^2 - 0.5 = 3.63
-0.4x^2 = 4.13
0.63x = 4.13
x = 6.56
Answer:
b = 40
Step-by-step explanation:
A heater repairman charges $40 to visit a home, plus $70 per hour for the time he spends on the repair.
This situation can be described by an equation of the form y=mx+b , where
x = the time in hours
y = the cost in dollars.
What is the value of b in this equation?
A heater repairman charges $40 to visit a home, plus $70 per hour for the time he spends on the repair
Writing the above in an equation =
y = $70 × x + $40
y = 70x + 40
Therefore, the value of b in the expression = 40
Answer:
( -9, -6)
Step-by-step explanation:
The red dot is the original (6, 9)
The blue dot is when it is rotated 270 degrees clockwise (-9, -6).