Find x and y for question 4, find x, y, and z for question 6

Start by finding x. Look at the second parallel line; you have a straight line that is made up of a 90 degree angle, 2x, and x.

Since a straight line is 180 degrees, and you know a part of it is already 90 degrees, you can make 2x and x add up to 90 degrees.

2x + x = 90, combine like terms.

3x = 90, divide both sides by 3.

x = 30

Find y next. 2y and x are on opposite sides of the transversal and make a Z shape, so they must be alternate interior angles. The alternate interior angle theorem states that these types of angles are congruent.

We know what x is, 30 degrees, so make 2y and x equal to each other.

2y = 30, divide both sides by 2.

y = 15

Find z. Same thing as the bottom parallel line; 2y and z make up the straight line so they must add up to 180 degrees. We found y was 15, so multiply y by 2. y = 30, so make 30 + z add up to 180 degrees.

30 + z = 180, subtract 30 from both sides.

x = 150

the most boring ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.

inch

step-by-step explanation:

yard and mile are too big.