Match the reasons with the statements in the proof.
given: c | | d, m 4 = m 5
prove: m 7 = m 8
1. c||d, m∠4=m∠5
substitution
2. m∠4 = m∠7
vertical angles are equal.
3. m∠5 = m∠8
if lines ||, alternate interior angles are equal.
4. m∠7 = m∠8
given

The figure shows the front side of a metal desk in the shape of a trapezoid. what is the area of this trapezoid? 10 ft²16 ft²32 ft²61 ft²

Write an inequality for this description. - one fourth of the opposite of the difference of five and a number is less than twenty.

Which of the following questions describes the equation g + (-4) = -5? a)what number, when added to negative four, is equal to negative five? b)what number, when added to negative five, is equal to negative four? c)what number, when subtracted from negative four, is equal to negative five? d)what number, when subtracted from negative five, is equal to negative four?