Letters a, b, c, and d are angle measures. lines f and g are intersected by line n. at the intersection of lines n and g, clockwise from the top, the angles are: a, 75 degrees, blank, b. at the intersection of lines n and f, clockwise from the top, the angles are blank, blank, d, c. which should equal 105° to prove that f ∥ g?
a.
b.
c.
d.

∠a = 105°

Step-by-step explanation:

If a set of 2 parallel lines, line f and line g, are intersected by another line n,  then at each of the parallel lines, then at each of the parallel lines adjacent angles are supplementary (i.e their sum is equal to 180° as shown in fig 1

Following this rule, comparing fig 2 with fig 1

If f and g are parallel then ∠a must be equal to ∠d

y=mx+b

step-by-step explanation:

m slope

b y-intercept

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