Use the figure to answer the question that follows: segments UV and WZ are parallel with line ST intersecting both at points Q and R, respectively The two-column proof below describes the statements and reasons for proving that corresponding angles are congruent: Step Statements Reasons 1 segment UV is parallel to segment WZ Given 2 Points S, Q, R, and T all lie on the same line. Given 3 m∠SQT = 180° Definition of a Straight Angle 4 m∠SQV + m∠VQT = m∠SQT Angle Addition Postulate 5 m∠SQV + m∠VQT = 180° Substitution Property of Equality 6 Same-Side Interior Angles Theorem 7 m∠SQV + m∠VQT = m∠VQT + m∠ZRS Substitution Property of Equality 8 m∠SQV + m∠VQT − m∠VQT = m∠VQT + m∠ZRS − m∠VQT m∠SQV = m∠ZRS Subtraction Property of Equality ∠SQV ≅ ∠ZRS Definition of Congruency What is the missing statement for step 6? m∠SQV + m∠VQT = 180° m∠SQV + m∠SQT = m∠VQT m∠SQV + m∠SQT = 180° m∠VQT + m∠ZRS = 180°

answer is : muchas/tipicas

have a nice day!

~recklesschicken

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!

what graph

step-by-step explanation:

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true