Answer:
∠ B = 85°
Step-by-step explanation:
Complementary angles sum to 90° , then
x - 23 + 2x + 29 = 90 , that is
3x + 6 = 90 ( subtract 6 from both sides )
3x = 84 ( divide both sides by 3 )
x = 28
Then
∠ B = 2x + 29 = 2(28) + 29 = 56 + 29 = 85°
Answer:
960 cubic centimeters
Step-by-step explanation:
Base area is area of triangle: b*h*1/2
= 12*8*1/2 = 48
Base area times height is 48*20 = 960
Answer:
Below in bold.
Step-by-step explanation:
Let x be George's age and y be Genemy's age.
x/y = 5/7
(x + 4)/ (y + 4) = 3/4
From equation 1, y = 7x/5 = 1.4x so substituting in equation 2 :
(x + 4)/ (1.4x + 4) = 3/4
3(1.4x + 4) = 4(x + 4)
4.2x + 12 = 4x + 16
0.2x = 16 -12 = 4
x = 4/0.2 = 20 = George's age.
So y = 1.4x = 1.4 * 20 = 28 = Genemy's age.
Answer:please if you found what the answers are please tell
Me
Step-by-step explanation:
Answer: 8 hours
Step-by-step explanation:
The pay is for 2 weeks which means that she worked for 80 hours.
At 80 hours, the regular income she should make is:
= 80 * 13.15
= $1,052
The total she made from overtime is therefore:
= 1,209.84 - 1,052
= $157.84
When she works overtime, she gets paid at a rate of a time and half. This means she gets:
= 13.15 * 1.5
= $19.73
The hours of overtime she worked is therefore:
= 157.84/19.73
= 8 hours
