1. the width of a rectangle is 10 mm shorter than its length. its perimeter is 244 mm. let l equal the length of the rectangle.
a. write an expression for the width in terms of the length.
b. write an equation for the perimeter in terms of l.
c. solve the equation, clearly indicating the length of the rectangle.
d. solve for the width of the rectangle. clearly indicate the width of the rectangle.

Agreeting card company can produce a box of cards for $7.50. if the initial investment by the company was $50,000, how many boxes of cards must be produced before the average cost per box falls to $10.50?

Write the equations in logarithmic form 7^3=343

Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.