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An illustration shows two similar right trapezoids.
For trapezoid A B C D, base C D measures 10, and side A D measures 20. Right angle symbols are indicated at vertices A and D. For trapezoid M N O P, base O P measures 8, and side P M measures 16. Right angle symbols are indicated at vertices M and P. Between the two trapezoids, the angle at vertex A is congruent with the angle at vertex M. The angle at vertex D is congruent with the angle at vertex P. The angle at vertex C is congruent with the angle at vertex O, and the angle at vertex B is congruent with the angle at vertex N.

Trapezoid ABCD is similar to trapezoid MNOP . Find the ratio between trapezoid ABCD and trapezoid MNOP . Express the answer in simplest form.

(1 point)
Responses

21
Start Fraction 2 over 1 End Fraction

45
Start Fraction 4 over 5 End Fraction

12
Start Fraction 1 over 2 End Fraction

54
Start Fraction 5 over 4 End Fraction
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3 answers

The ratio between trapezoid ABCD and trapezoid MNOP is 2:1.
Solve the following problem involving income tax. Show all your work. Priya had $52.50 deducted from their paycheck. If Priya’s income tax rate is 12%, find Priya’s total income before tax. (4 points)
Let x be Priya's total income before tax.

According to the problem, $52.50 is deducted from x for income tax.

Since the income tax rate is 12%, we can set up the equation:

12% * x = $52.50

To find x, we divide both sides of the equation by 12% (or 0.12):

x = $52.50 / 0.12

Calculating this, we find:

x = $437.50

Therefore, Priya's total income before tax is $437.50.