Lucy needs to hire a host. host a is offering his services for an initial $60 in addition to $13.25 per hour. hostess b is offering her services for an initial $75 in addition to $11.50 per hour. when will the two hosts charge the same amount?

Host A: 60+13.25h

Host B: 75+11.5h

60+13.25h =75+11.25h

subtract 11.25h from each side

60+2h = 75

subtract 60 from each side

2h = 15

divide by 2

h = 7.5

at 7.5 hours the two hosts will charge the same

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.