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.

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98

2x^2+5x+17

your welcome. : )