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2 answers:
Answer:
The value of x is
Step-by-step explanation:
The property of similar triangles states that:
The ratio of the areas of two similar triangles is the same as the ratio of their corresponding sides.
Let’s first label the points, angles, and sides in the triangle (figure-1)
and now redraw the three similar triangles in another diagram (figure-2)
We can determine x through the ratio of the corresponding sides of the first two triangles;
Therefore, the value of x is
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The original price stands at $450.
Step-by-step explanation:
Step 1:
Given information, Discount%, D% = 30 and Selling Price, SP = $315
Step 2:
Formulate the equation for determining the Original Price
Selling Price (SP) = Original Price (OP) - Discount (D)
Discount (D) = Original Price (OP) * (D%/100)
Step 3:
Plug in the known values into the formula
315 = OP - D
D =
D = 0.3 OP
Step 4:
Insert the value of D back into the initial equation
315 = OP - 0.3 OP
315 = OP (1 - 0.3) = 0.7 OP
A resulting Original Price of OP = 315/0.7 = $450