These two trapezoids are similar. in both trapezoids, the left and right sides are not parallel. find the values of x, y,z, j, and k
explain your answers.
me : )

Part 1)

Part 2)

Part 3)

Part 4)

Part 5)

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent

so

step 1

Find the measure of x

step 2

Find the measure of y

step 3

Find the measure of z

step 4

Find the measure of angle j

we know that

The corresponding angles are congruent

In this part

-----> by consecutive interior angles (supplementary angles)

so

step 5

Find the measure of angle k

we know that

------> by corresponding angles

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation:

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