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trasher [3.6K]
3 years ago
5

In a sale, all the prices are reduced by 25%. Julie sees a jacket that cost $32 before the sale. How much does it cost in the sa

le?​
Mathematics
1 answer:
jeka943 years ago
5 0

Answer: oringial sale price = $40

Step-by-step explanation:

Find 25% of the sale price and add it to the sale price to find the original price

So - 10% - is 3.2

20% - is 3.2 x 2 =6.4

5% - is 3.2 divided by 2 = 1.6

25% - 6.4 + 1.6 = 8

Original sale price - $8 + $32 = $40

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If a silver alloy that costs $4.50 an ounce is
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Read 2 more answers
Prove<br><br> that BUGS is a trapezoid with coordinates B(-2,-1), U(0,3), G(3,2) and S(4,-3).
telo118 [61]

Answer:

Proved

Step-by-step explanation:

Given

B =(-2,-1)

U = (0,3)

G = (3,2)

S = (4,-3)

Required

Prove BUGS is a trapezoid

Given the coordinates, to prove a trapezoid; all we need to do is to check if one pair of sides is parallel.

<u></u>

<u>Taking BU and GS as a pair</u>

First, we calculate the slope using:

m = \frac{y_2 - y_1}{x_2 - x_1}

For BU

B =(-2,-1) --- (x_1,y_1)

U = (0,3) --- (x_2,y_2)

So, we have:

m = \frac{3 - -1}{0- -2}

m = \frac{4}{2}

m = 2

For GS

G = (3,2) --- (x_1,y_1)

S = (4,-3) --- (x_2,y_2)

So, we have:

m = \frac{-3-2}{4-3}

m = \frac{-5}{1}

m = -5

<em>The slope of BU and GS are not the same; hence, they are not parallel.</em>

<u>Taking BS and GU as a pair</u>

Calculate the slope

For BS

B =(-2,-1) --- (x_1,y_1)

S = (4,-3) --- (x_2,y_2)

So, we have:

m = \frac{-3 - -1}{4- -2}

m = \frac{-2}{6}

m = -\frac{1}{3}

For GU

G = (3,2) --- (x_1,y_1)

U = (0,3) --- (x_2,y_2)

So, we have:

m = \frac{3-2}{0-3}

m = \frac{1}{-3}

m = -\frac{1}{3}

The slope of BS and GU are the same; hence, they are parallel.

<em>BUGS is a trapezoid because BS and GU have the same slope</em>

8 0
3 years ago
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