Let segments a p and b p be tangent segments. what is the length of segment a p if b p equals 12 cm?

Measure of line segment ap = 12 cm

Step-by-step explanation:

Given:

Two line segments (tangents) from a common point (p).

Considering p as a common point.

Measure of length bp = 12 cm

We have to find the measure of length ap.

According to the theorem.

Two-Tangent Theorem:

When two segments are drawn tangent to a circle from the same point outside the circle, the segments are equal in length.

So,

We can say that both the line segments from point p are equal.

Measure of ap = cm

A diagram is also attached with this.

Measure of segment ap = 12 cm

20 cups of punch

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

If Elise adds 5 percent of each of the other ingredients

then

the new percentages are

Ginger Ale=40%+5%=45%

Orange Juice=25%+5%=30%

Pineapple Juice=20%+5%=25%

Sorbet=0%

Find out how many cups of punch will she have if she uses 6 cups of orange juice, using proportion

Let

x ----> the total cups of punch