7. If ∠EAC measures 120oand ∠HBI measures 84o, find the measure of ∠BCA. A. m∠BCA = 60
B. m∠BCA = 84
C. m∠BCA = 36
D. m∠BCA = 54

Given:

m∠EAC = 120° and m∠HBI = 84°.

To find:

The measure of ∠BCA.

Solution:

If two lines intersect each other then the vertically opposite angles are equal.

            (Vertically opposite angles)

             ...(i)

If two angles forms a linear pair, then  their sum is 180 degrees.

                (Linear pair)

             ...(ii)

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.

                (Angle sum property)

         [Using (i) and (ii)]

Therefore, the correct option is C.

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

c: y > - 1/6x + 1

step-by-step explanation:

dashed line - meaning this < or > also not equal

solid line - meaning this < or > also equal

your answer is c because y > means up & it's shaded up, but y < means down

hope this ! : )