Answer:
Angle 3 = 86.8
Angle 6 = 96.4
Angle 7 = 93.2
Step-by-step explanation:
Given :
angle 6 = 4x + 10
angle 7 = 2x + 40
=> angle 6 + angle 7 = 180° { linear pair }
=> 4x+10 +2x+40 = 180
=> 6x+50 = 180
=> 6x = 180-50
=> 6x = 130
=> x = 130/6
=> x = 21.6
so ,the measure of angle 6 = 4x + 10 = 4(21.6) +10 = 86.4+10 = 96.4
the measure of angle 7 = 2x + 40 = 2(21.6) +40 = 43.2+50 = 93.2
now angle 7 = angle 4 + angle 5
and angle 3 + angle 4 + angle 5 = 180°
so, angle 7 + angle 3 = 180
=> 93.2 + angle 3 = 180
=> angle 3 = 180 - 93.2
=> angle 3 = 86.8
Answer:
a) 
b) 
Step-by-step explanation:
See attachment for step-by-step
Answer:
Step-by-step explanation:
(-1,-4)→(4,1)
1/2(x+4)=32
Use distributive property"
1/2x + 2 = 32
Subtract 2 from both sides:
1/2x = 30
Multiply both sides by 2:
x = 60
Answer:
Step-by-step explanation:
The required t score would be determined from the t distribution table. In order to use the t distribution, we would determine the degree of freedom, df for the sample.
df = n - 1 = 50 - 1 = 49
Since confidence level = 99% = 0.99, α = 1 - CL = 1 – 0.99 = 0.01
α/2 = 0.01/2 = 0.005
the area to the right of z0.005 is 0.005 and the area to the left of z0.005 is 1 - 0.005 = 0.995
Looking at the t distribution table,
t score = 2.678
