Which is a pair of vertical angles?
1 answer:
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a. The store charges $94.5 for the skis
b. 150% of the original price is the final price
Step-by-step explanation:
The given is:
- A store that sells skis buys them from a manufacturer at a wholesale price of $63
- The store’s markup rate is 50%
We need to find at what price the store charges its customers for the skis and
what percent of the original price is the final price
∵ The store buys the skis at $63
∴ The cost price of the skis = $63
∵ The store’s markup rate is 50%
- Find the amount of 50% of the cost price
∵ 50% of 63 = × 63 = 31.5
∴ the store's markup the cost of the skis by $31.5
- To find the selling price add 31.5 to the cost price
∴ The selling price of the skis = 63 + 31.5 = $94.5
a. The store charges $94.5 for the skis
To find what percent of the original price is the final price divide the final price by the original price then multiply the quotient by 100%
∵ 94.5 ÷ 63 = 1.5
∵ 1.5 × 100% = 150%
∴ The final price is 150% of the original price
b. 150% of the original price is the final price
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Answer:
12
Step-by-step explanation:
The formula for distance between points is
So when you inserts the coordinates in this formula, it would be
=12.08305
Usually, distance is round to whole number. So, it would be 12
Answer: The equation for line b is
The equation for line t is
The attachment shows the original line in green, the parallel line b in red, and the perpendicular line t in blue.
Step-by-step explanation: Use slope intercept form, y = mx + b
The given coordinate, (0,5) is on the y-axis, so 5 will be the y-intercept of the equation. Keep the slope of the original equation and substitute the new value for "b"
To write the equation for line t
Both lines share the y-intercept, (0,5) so the "b" term will be the same. The slope of a perpendicular line is the reciprocal of the original slope with the opposite sign.
So invert 3/4 to become 4/3 and change the negative sign to positive.
The resulting equation is y = 4x/3 + 5
