Given that $6 x=27 y$, find the ratio $y: x$ in simplest form.

The dimensions of a rectangle are y and y² + 1 and the perimeter of the rectangle is 14 units. Find the ratio of the longer side of the rectangle to the shorter side of the rectangle.

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 $\frac{1}{3}=\frac{2}{6}$.

The ratio of the side lengths of a quadrilateral is 2: 4: 5: 7, and its perimeter is 36 m. What is the length of the shortest side?

Write a ratio expressing the slope of the line through each pair of points. (-6,1) and (-2,0)

RW=17.7, and SV=23.3 Find TW.

Find the value of z so that EFGH is isosceles.

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 ?

The town of Goodland, Kansas, claims that it has one of the world’s largest easels. It holds an enlargement of a van Gogh painting that is 24 ft wide. The original painting is 58 cm wide and 73 cm tall. If the reproduction is similar to the original, what is the height of the reproduction to the nearest foot?

Find the perimeter or circumference and area of each figure. Round to the nearest tenth.,.,.,.

A park at the end of a city block is a right triangle with legs 150 ft and 200 ft long. Make a scale drawing of the park using the following scales. 1.5 in. : 100 ft

Use the diagonals to determine whether a parallelogram with the given vertices is a rectangle, rhombus, or square. Give all the names that apply.

$$J(-9,-7), K(-4,-2), L(3,-3), M(-2,-8)$$

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

Given: $\overline{N P} \cong \overline{M Q}, \overline{N M} \cong \overline{P Q}, \overline{N Q} \cong \overline{M P}$

Conclusion: $M N P Q$ is a rectangle.