Lets x = measure of the second angle, so m<2 = x
m<1 = 2x (<span>the measure of the first angle is twice the measure of the second angle)
</span>m<3 = x + 96 (<span>96 degrees more than the measure of the second angle)
</span>
x + 2x + x+ 96 = 180
4x + 96 = 180
4x = 84
x = 21
2x = 2(21) = 42
x + 96 = 21+96 = 117
answer
m<1 = 42
m<2 = 21
m<3 = 117
Double check
sum = 180
m<1 + m<2 +m<3 = 180
42+21+117=180
180=180
Kiran earns $8.50 per hour.
Let x represent Kiran's pay. He worked 23 hours last week, so his pay would be given by 23x.
Kiran's cousin is paid 30% more. 30% = 30/100 = 0.3. We add this to the x per hour that Kiran is paid:
x + 0.3x = 1.3x
This is multiplied by 27, since Kiran's cousin works 27 hours:
27(1.3x)
This gives us the following equation:
23x + 27(1.3x) = 493.85
23x + 35.1x = 493.85
58.1x = 493.85
Divide both sides by 58.1:
58.1x/58.1 = 493.85/58.1
x = 8.5
Thus Kiran earns 8.50 per hour.
Answer:
C. 1/4
Step-by-step explanation:
Parallel lines always have the same slope.
-4x -8x +17 = 23
-12x +17 = 23
-12x=6
x= -0.5
to check plug back in the equation
