If &A and B are a linear pair and m&A = 2x + 8 and m&B = 3x + 2, what is the value of x? *
Your answer
If 4A and B are vertical angles and m&A = 7x - 5 and m&B = 4x + 10, what is the
value of x? *
Your answer

34;

5

Step-by-step explanation:

1. m<A = 2x + 8 (given)

m<B = 3x + 2 (given)

Since <A and <B are a linear pair, therefore:

m<A + m<B = 180° (angles in a linear pair add up to 180°)

(2x + 8) + (3x + 2) = 180 (substitution)

Solve for x

2x + 8 + 3x + 2 = 180

Collect like terms

5x + 10 = 180

Subtract 10 from each side of the equation

5x = 180 - 10

5x = 170

Divide both sides by 5

x = 34

2. m<A = 7x - 5 (given)

m<B = 4x + 10 (given),

Since m<A and m<B are vertical angles, therefore:

m<A = m<B (vertical angles are congruent)

7x - 5 = 4x + 10 (substitution)

Subtract 4x from both sides

7x - 5 - 4x = 4x + 10 - 4x

3x - 5 = 10

Add 5 to both sides

3x - 5 + 5 = 10 + 5

3x = 15

Divide both sides by 3

3x/3 = 15/3

x = 5

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

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: