Karen and Bill collect coins. Karen has x coins. Bill has 4 coins fewer than four times the number of coins Karen has. Write and simplify an expression for the total number of coins Karen and Bill have.

Explanation:

x = number of coins Karen has

4x = four times the number of coins she has

4x-4 = number of coins Bill has, four fewer than 4x

Add up the first and third expressions to get

(x) + (4x-4) = (x+4x) - 4 = 5x-4

The two of them have a combined 5x-4 coins

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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