Select all that apply. a polygon is reflected across a line. the angles in the original figure are compared to the corresponding angles in the image to see if they are congruent. which factors does this depend upon? a. the number of sides of the polygon b. the angle measures of the polygon. c. the line of reflection. d. none of these. they will always be congruent.

We have been given that a polygon is reflected across a line. The angles in the original figure are compared to the corresponding angles in the image to see if they are congruent. We need to figure out the which of the given options is correct.

When we reflect a polygon about a line, the reflected figure will be exactly the mirror image of the original figure. Therefore, shape and size of the polygon will remain exactly the same as the original one and therefore, corresponding angles of the reflected polygon and original polygon will be exactly the same.

Therefore, the correct option is (d).

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation: