Me with this geometry problem, i'd really appreciate it : )

Hello from MrBillDoesMath!

x = 31

Discussion:

angle A + angle C + angle B = 180              (180 degrees in a triangle)

angle A + 57           +  61        = 180 =>         (substitution)

angle A + 118 = 180 =>

angle A = 180 -118 = 62

By the congruence statement, angle A = angle D = 2x so

62 = 2x =>

x = 31

Thank you,

MrB

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.

168

step-by-step explanation:

first off, we know that he drove 3.5 hours at a rate of 48 mph.

knowing that, we want to see how many miles he drove all-together.

in this case, we can just multiply 48 by 3.5.

48 * 3.5 = 168