Which statement completes the proof that the sum of the angles of triangle prq is 180°? statement justification
angle 5 is congruent to angle pqr. alternate interior angles theorem
angle 1 is congruent to angle prq. alternate interior angles theorem
m∠1 + m∠rpq + m∠5 = 180° definition of a straight angle and
straight angle postulate
? substitution

The step missing is

, by substitution.

Step-by-step explanation:

We have

by Alternate Interior Angles Theorem.

, by Alternate Interior Angle Theorem.

, by Definition of a Straight Angle and a Straight Angle postulate.

, by substitution.

Now, remember that Alternate Interior Angles are those which are inside two parallels and different sides of the transversal line which intercept those parallels. Their theorem states that such angles are always congruent.

Then, the definition of a straight angle is that measures 180°, and its postulate is that adjacent angles on an straight angle must sum 180°, and they are supplementary.

answer: the answer is one of

step-by-step explanation:   we are given to write a proper fraction where the whole is divided into an even number of equal parts less than ten, and an odd number of those parts exist.

an even number less than 10 may be one of 2, 4, 6 or 8. so, the whole may be one of these four evens.

now, an odd number of these parts must exist, so the numerator must be an odd number, one of 1, 3, 5 or 7. it cannot be 9 because then the fraction will become improper.

thus, our fraction may be one of the following

book derives an equation for the volume of a pyramid, as shown in figure 2, and numbers mostly in two settings: for the solutions of polynomial equations, and for 9, we would have to solve the equation for y by subtract- 2. the point (1,. 2) is the center of the circle whose equation is x2 y2. 2x. 4y p.w.c. davies.

step-by-step explanation: