The two-column proof below describes the statements and reasons for proving that corresponding angles are congruent: Step
Statements
Reasons
11 UV||WZ
Given
2 Points S, Q, R, and T all lie on the same line.
Given
B m2 SQT = 180°
Definition of a Straight Angle
4 m2 SQV + m2VQT = m_SQT
Angle Addition Postulate
Þ mZSQV + m2VQT = 180°
Substitution Property of Equality
6 MZVQT + m ZZRS = 180°
Same-Side Interior Angles Theorem
7
Substitution Property of Equality
m2 SQV + m2VQT-m2VQT = m2VQT + m2 ZRS - m2VQT
Subtraction Property of Equality
MZSQV = m ZRS
SQV & ZZRS
Definition of Congruency
What is the missing statement for step 7? (5 points)
Оа
m2 SQV + m2VQT = 180°
Oь
mZVOT + m2 ZRS = 180°
Oc
m2 SQV + m ZVQT = m_VQT + m2ZRS
Od
m2 SQV + m2 SQT = 180°

answer: 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

step-by-step explanation:

x is the total time in minutes for the free response

you are given number of questions as 15 - m and time per item as 8 minutes

to find x multiply the two givens together:

x = 8 * (15-m) = 8(15-m)

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct