bruh please help i’ve been trying to do this for two days and i can’t figure it out :// pls help lol i’m struggling

Answers:

x = 13

y = 24

=========================================================

Explanation:

Refer to the diagram below.

The triangle has interior angles (7x-31), 63, and some unknown angle, which we'll call z. This angle z is congruent to (5x-8) as the angles are alternate interior angles.

Alternate interior angles are congruent when we have parallel lines like this.

So z = 5x-8

Add up the three angles inside the triangle, set the sum equal to 180, and solve for x

(angle1)+(angle2)+(angle3) = 180

(7x-31)+63+(5x-8) = 180

12x+24 = 180

12x = 180-24

12x = 156

x = 156/12

x = 13

--------------------------

The angle z mentioned earlier is adjacent to the (4y+27) angle. These two angles form a straight line. They are considered a linear pair. This means they are supplementary (they add to 180)

z+(4y+27) = 180

(5x-8)+(4y+27) = 180

5x + 4y + 19 = 180

5(13) + 4y + 19 = 180

65 + 4y + 19 + 180

4y + 84 = 180

4y = 180-84

4y = 96

y = 96/4

y = 24

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.