Directions: Mary is in the process of developing her personal monthly budget. Some items she has listed appear in the table below. Use the table to answer any questions that follow.
$250
$50
Savings for college
Emergency fund
Rent and utilities
Wage from full-time work
Wage from part-time work
Cell phone bill (paid by parents)
$850
$1,700
$600
$90

13

step-by-step explanation:

distance formula is d=√(x2-x1)^2   +   (y2-y1)^2

ion

step-by-step explanation:

ion ion ion ion ion ion ion ion ion ion ion

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh