Kari and Julie are practicing for basketball tryouts. Kari makes 3 less than twice as many baskets as Julie. Part A
Write an expression with two terms for the number of baskets that Kari makes. Explain how you found your expression.

Part B Write an expression with three terms for the number of baskets that Kari and Julie make in all. Explain how you found your expression.

Part C
If Julie makes 18 baskets, how many baskets does Kari make? How many baskets do they make in all? Show your work.

Kari makes baskets. Kari and Julie make baskets in all.

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180

answer: both chords and diameters have two endpoints on a circle. diameters must intersect the center of a circle.