How do you solve these two problems please explain step by step

1)

2)

Step-by-step explanation:

1)

The two triangles are similar by AA similarity.

That means .

We can add to both sides to get .

We can then subtract from both sides to get .

We know that the  because they both lie on a straight line.

We can plug in for to get .

We can divide both sides of the equation by to get .

We then add to both sides to get .

So, and we're done!

2)

Because the two bases of a trapezoid are parallel, meaning adjacent top and bottom angles sum to , we have that .

We can subtract a and an from both sides to get .

We then divide both sides of the equation by to get .

We do the same thing for . On the other side of the trapezoid, we have that .

We combine like terms on the left side to get .

We subtract a from both sides to get .

We divide both sides of the equation to get .

So, and we're done!

15%

step-by-step explanation:

use the table and count the number of guesses that has two correct answers.

the following are two correct answers

10010, 01100, 11000

a total of 3 numbers having 2 correct guesses out of 20 questions.

probability of getting 2 correct guesses = the number of questions getting 2 correct answers / total number of questions.

= 3/20

to convert it into percent multiply by 100, we get

= 3/20 * 100

= 15%

the answer is 15%

you.