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Problem 24

To unload groceries from a delivery truck at the Piggly Wiggly Market, an 8 -ft ramp that rises \(4 \mathrm{ft}\) to the door of the trailer is used. What is the measure of the indicated angle \((\angle D) ?\)

Problem 24

The salaries of a school cook, custodian, and bus driver are in the ratio \(2: 4: 3 .\) If their combined monthly salaries for November total \(\$ 8,280,\) what is the monthly salary for each person?

Problem 25

\(\triangle A D E \sim \triangle A B C\) Pentagon \(A B C D E \sim\) pentagon \(G H J K L\) (not shown), \(A B=6,\) and \(G H=9 .\) If the perimeter of \(A B C D E\) is 50 find the perimeter of \(G H J K L\).

Problem 25

Each side of a rhombus measures 12 in. If one diagonal is 18 in. long, how long is the other diagonal?

Problem 25

Given: \(\overrightarrow{R V}\) bisects \(\angle S R T\) $$ \begin{array}{l} R S=x-6, S V=3 \\ R T=2-x, \text { and } \\ V T=x+2 \end{array} $$ Find: \(\quad x\) (HINT: You will need to apply the Quadratic Formula.

Problem 25

If the measures of the angles of a quadrilateral are in the ratio \(3: 4: 5: 6,\) find the measure of each angle.

Problem 26

\(\triangle A D E \sim \triangle A B C\) Quadrilateral \(M N P Q \sim\) quadrilateral \(W X Y Z\) (not shown), \(P Q=5,\) and \(Y Z=7 .\) If the longest side of \(M N P Q\) is of length \(8,\) find the length of the longest side of \(W X Y Z.\)

Problem 26

If the measures of the angles of a quadrilateral are in the ratio of \(2: 3: 4: 6,\) find the measure of each angle.

Problem 26

An isosceles right triangle has a hypotenuse of length \(10 \mathrm{cm} .\) How long is each leg?

Problem 26

Given: \(\quad \overrightarrow{M R}\) bisects \(\angle N M P, M N=2 x, N R=x\) \(R P=x+1,\) and \(M P=3 x-1\) Find: \(x\)

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