14.) jasmine is buying tickets for a school
music concert. adult tickets cost $3 more
than student tickets. jasmine is buying 12
adult tickets and 8 student tickets for $156.
how much is an adult ticket? define the
variable.

Adult ticket = $9

Student ticket = $6

Step-by-step explanation:

x = price of student ticket

x + 3 = price of adult ticket

[12(x+3)] + 8x = 156

Use the distributive property to simplify the process.

12x + 36 + 8x = 156

Combine common terms.

20x + 36 = 156

Use inverse operations

[-(-36)] 20x + -36 = 156 [-(-36)]

20x = 120

x = 6

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'.