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 m∠VQT + m∠ZRS = 180° Same-Side Interior Angles Theorem

7 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 7? (5 points)

Select one:

a. m∠SQV + m∠VQT = 180°

b. m∠VQT + m∠ZRS = 180°

c. m∠SQV + m∠VQT = m∠VQT + m∠ZRS

d. m∠SQV + m∠SQT = 180°

the results from a pre-test for students for the year 2000 and the year 2010 are illustrated in the box plot. what do these results tell us about how students performed on the 29 question pre-test for the two years?

if we compare only the lowest and highest scores between the two years, we might conclude that the students in 2010 did better than the students in 2010. this conclusion seems to follow since the lowest score of 8 in 2010 is greater in value than the lowest score of 6 in 2000. also, the highest score of 28 in 2010 is greater in value than the highest score of 27 in 2000.

but the box portion of the illustration gives us more detailed information. the middle bar in each box shows us that the median score of 20 in 2000 is greater in value than the median score of 17 in 2010. further, we note that the box and whiskers divide the illustration into four pieces. each of these four pieces represents the same portion of students. so, the upper half of the students in 2000 scored in the same score range as the upper one-fourth of the students in 2010, see the illustration at a score of 20.

by considering the upper one-fourth, upper half, and upper three-fourths instead of just the lowest and highest scores, we would conclude that the students as a whole did much better in 2000 than in 2010. we would conclude that as a whole the students in 2010 are less prepared than the students in 2000.

in this section, we discuss box-and-whisker plots and the five key values used in constructing a box-and-whisker plot. the key values are called a five-number summary, which consists of the minimum, first quartile, median, third quartile, and maximum.

step-by-step explanation:

imma say 16%. sorry if its wrong. i'm doing the same stuff right now

step-by-step explanation:

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12