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In the figure shown, line c intersects parallel lines s and t. What is the value of x ?

In the figure, line m is parallel to line n, and line t intersects both lines. What is the value of x ?

In the figure shown, line m is parallel to line n. What is the value of x ?

A circle has center O, and points R and S lie on the circle. In triangle ORS, the measure of ∠ROS is 88°. What is the measure of ∠RSO, in degrees?

In the figure, lines m and n are parallel. If x = 6k + 13 and y = 8k − 29, what is the value of z ?

For the triangles shown, triangle ABC is dilated by a scale factor of 3 to obtain triangle XYZ, where d=16. what is the measure. in degrees, of angle X ?

Each side of square A has a length of 13 inches. Each side of square A is multiplied by a scale factor of 3 to create square B. What is the length, in inches, of each side of square B?

In triangle ABC and triangle DEF, sides AB and DE each have a side length of 10 inches, and angles A and D each have an angle measure of 40°. Which of the following additional pieces of information is(are) sufficient to prove whether triangle ABC is congruent to triangle DEF?
I. The measures of angles B and C are equal.
II. The lengths of sides AC and DF are equal
III.The lengths of sides BC and EF are equal.

In the figure, \( LQ \)  intersects \( MP \) at point R, and \( LM \)  is parallel to \( PQ \) . The lengths of \( MR \) and \( RP \) are 9 and 17 units, respectively. The area of \( \triangle LMR \) is 45 square units. What is the area of \( \triangle PQR \), in square units?

The table gives the areas and perimeters of two similar rectangles, where n is a constant.

What is the value of n?

Quadrilateral ABCD is a square with diagonal \( AC \) , where AC= 13.Which of the following statements is true?

The table gives the areas and perimeters of two similar rectangles, where n is a constant.

What is the value of n?