HEY GUYS PLS HELP ME WITH THIS GEOMETRY QUESTION

m∠E = 90°

m∠F = 47°

m∠G = 43°

Step-by-step explanation:

We are given 3 angles: a 90 degree angle, and 2 unknowns. We know that all angles in a triangle add up to 180 degrees. So,

Step 1: Write out the angles equation

90 + 5x - 13 + 2x + 19 = 180

Step 2: Combine like terms

96 + 7x = 180

Step 3: Isolate the x

7x = 84

Step 4: Divide both sides by 7

x = 12

We take this x = 12 and we plug it into our original unknown angles. Thus,

Step 1: ∠F

5(12) - 13

m∠F = 47°

Step 2: ∠G

2(12) + 19

m∠G = 43°

And you have your final answers!

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)