Answer:
1. m<2 = 115 °
2. m<5 = 83 °
3. m<8 = 45 °
4. m<4 = 137 °
Step-by-step explanation:
1. Determination of m<2
m<1 = 115 °
m<2 =?
m<2 = m<1 (vertically opposite angles are equal)
m<2 = m<1
m<2 = 115 °
2. Determination of m<5
m<6 = 83 °
m<5 =?
m<5 = m<6 (vertically opposite angles are equal)
m<5 = m<6
m<5 = 83 °
3. Determination of m<8
m<9 = 45 °
m<8 =?
m<8 = m<9 (vertically opposite angles are equal)
m<8 = m<9
m<8 = 45 °
4. Determination of m<4
m<3 = 137 °
m<4 =?
m<4 = m<3 (vertically opposite angles are equal)
m<4 = m<3
m<4 = 137 °
Answer:
x=4
Step-by-step explanation:
2/3 x + 5/6 = x - 1/2
Multiply each side by 6 to clear the fractions
6(2/3 x + 5/6) = 6(x - 1/2)
Distribute
4x +5 = 6x-3
Subtract 4x from each side
4x+5 -4x = 6x-3-4x
5 = 2x-3
Add 3 to each side
5+3= 2x-3+3
8 =2x
Divide by 2
8/2 =2x/2
4 =x
Answer:
Part A:
Blueprint 10 inches ⇒ Actual 35 feet
Blueprint 20 inches ⇒ Actual 70 feet
Part B:
The cost of the cover is $857.5
Step-by-step explanation:
Part A:
∵ The drawing scale is 2 inches for 7 feet
∵ The length = 20 inches and the width = 10 inches
∴ The actual length = (20 × 7) ÷ 2 = 70 feet
∴ The actual width = (10 × 7) ÷ 2 = 35 feet
Part B:
∵ The cost per square foot = $0.35
∵ The area of the pool = 70 × 35 = 2450 feet ²
∴ The cost of the cover = 2450 × 0.35 = $857.5
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Step-by-step explanation:
Answer:
C
Step-by-step explanation: