Let S = the original price of the sweater. Now, lets step through the problem...
The friend goes shopping with $35 and ends up left with $10.50. This means she spent 35 - 10.50 = 24.50 on the sweater after the sale and coupon.
Next, the sweater is on sale for 50%. This means we take S and take 50% of that. S*.50
Next, she uses a $5 off coupon. Thus, we want to subtract $5 from the price.
Lets combine this all together!
24.50 = S*.50 - 5
Solve for S.
24.50 = S*.50 - 5
29.50 = S*.50
$59 = S
Thus, the original price of the sweater was $59.
Answer:
(i)
<u>Given</u>
<u>Also we see that</u>
- ∠ABC = ∠DBE as refer to same angle
<u>Since two angles of triangles are congruent, the triangles are similar by </u><u>AA similarity postulate</u>
(ii)
<u>In similar figures corresponding parts have same ratio. Use ratios to find the value of x:</u>
- AB/EB = AC/ED
- 12/8 = x / 4
- x = 4*12/8
- x = 6 cm
The equation of the line will be y = 
<h3>What is an equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
First, we need to find the equation of the line that is given:
We can use the formula,
So the equation for this line is
y = (1/5) x - 3
This means that the equation for the line we are trying to find has a slope of as well
Let's put the points in the equation and try to find the y-intercept:
2 = 
( -2 ) + b
So the final equation for the line we are trying to find is y =
To know more about equations follow
brainly.com/question/2972832
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