Given that 35b = 21c, find the ratio b : c in simplest form.

The ratio of the side lengths of an isosceles triangle is 4: 4: 7, and its perimeter is 52.5 cm. What is the length of the base of the triangle?

The Arkansas State Capitol Building is a smaller version of the U.S. Capitol Building. The U.S. Capitol is 752 ft long and 288 ft tall. The Arkansas State Capitol is 564 ft long. What is the height of the Arkansas State Capitol?

Given that 5 y=25 x, find the ratio of x to y in simplest form.

SZ = 62.6, and KZ = 34. Find RJ.

The ratio of the angle measures in a parallelogram is 2: 3: 2: 3 . What is the measure of each angle?

The ratio of the angle measures in a triangle is 5: 12: 19 . What is the measure of the largest angle?

Write a ratio expressing the slope of line $\ell$.

Apply the vocabulary from this lesson to answer each question. Name the means and extremes in the proportion $\frac{1}{3}=\frac{2}{6}$.

Determine if the conclusion is valid. If not, tell what additional information is needed to make it valid.

Given: $\overline{F H}$ bisects $\angle E F G$ and $\angle E H G$.

Conclusion: $E F G H$ is a rhombus.

The edges of the kite-shaped glass in the sun catcher are sealed with lead strips. JH, KH, and LH are 2.75 inches, and MH is 5.5 inches. How much lead is needed to seal the edges of the sun catcher? If the craftsperson has two 3-foot lengths of lead, how many sun catchers can be sealed ?

Each square section in the iron railing contains four small kites. The figure shows the dimensions of one kite. What length of iron is needed to outline one small kite? How much iron is needed to outline one complete section, including the square ?

The vertices of square JKLM are J(-2, 4 ), K(-3, -1 ), L(2, -2), and M(3, 3). Find each of the following to show that the diagonals of square JKLM are congruent perpendicular bisectors of each other. JL=, KM=, slope of $\overline{JL}$=___ slope of $\overline{KM}$=___ midpoint of $\overline{JL}$=(___, ), midpoint of $\overline{KM}$=(, ___)

Choose the best answer.

In $\square P Q R S, Q T=7 x, T S=2 x+2.5$, $R T=2 y$, and $T P=y+3$. Find the perimeter of $\triangle P T S$.

A. 6

B. 9.5

C. 12

D. 17.3