Can someone explain this and help

x = 43

Step-by-step explanation:

since the line is parallel, there are a few relationships that goes on in between the parallel lines with the angles formed by the third line (the third line is known as a transversal)

the two angles shown are same side interior angles because they are on the same side of the transversal and on the inside of the parallel lines

same side interior angles always add up to 180 since, if you put them together, they would form a straight angle

so we can set the equation to x + 27 + x + 67 = 180

add like terms: 2x + 94 = 180

subtract 94 from 180: 2x = 86

divide both sides by 2: x = 43

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!