In the figure below, FJ and GI intersect at H to
form the angles shown.

What is the measure of FHI?
A. 45°
B. 90°
C. 135°
D. 180°

C

Step-by-step explanation:

∠ FHI and ∠ JHI form a straight angle and are supplementary, thus

3x + x = 180, that is

4x = 180 ( divide both sides by 4 )

x = 45

Thus

∠ FHI = 3x = 3 × 45 = 135° → C

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)