Y varies directly with x, and y = 120 ib when x = 50 ib. Find y if x = 40 ib
1 answer:
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Answer:
m∠WXZ = 38°
m∠ZXY = 52°
Step-by-step explanation:
In the question
- ∠WXZ and ∠ZXY are two adjacent angles and formed together ∠WXY
- That means the measure of ∠WXY equal the sum of measures of ∠WXZ and ∠ZXY
∵ ∠WXY is a right angle
→ That means its measure is 90°
∴ m∠WXY = 90°
∵ m∠WXZ + m∠ZXY = m∠WXY
∵ m∠WXZ = (5x + 3)°
∵ m∠ZXY = (8x - 4)°
∵ m∠WXY = 90°
→ Substitute their values in the equation above
∴ (5x + 3) + (8x - 4) = 90
→ Add the like terms in the left side
∵ (5x + 8x) + (3 - 4) = 90
∴ 13x + (-1) = 90
∴ 13x - 1 = 90
→ Add 1 to both sides
∴ 13x - 1 + 1 = 90 + 1
∴ 13x = 91
→ Divide both sides by 13
∴
∴ x = 7
→ To find the measure of each angle substitute x by 7 in their measures
∵ m∠WXZ = 5x + 3
∴ m∠WXZ = 5(7) + 3
∴ m∠WXZ = 35 + 3
∴ m∠WXZ = 38°
∵ m∠ZXY = 8x - 4
∴ m∠ZXY = 8(7) - 4
∴ m∠ZXY = 56 - 4
∴ m∠ZXY = 52°
Answer:
Amy's yearly salary in 2011 was $27,800
Step-by-step explanation:
we have
where
x ---> is the number of years since 2007
y ---> Amy's yearly salary in dollars
To find out what was her salary in 2011, first determine the value of x
substitute the value of x in the equation above
therefore
Amy's yearly salary in 2011 was $27,800