Suppose r (140^ ,p) (A)=B and (A) = B , what is m angle CPD ?

Answer:

The measure of angle is 70 degrees

Explanation:

An angle bisector divides an angle into two equal halves.

The measure of angle is 70 degrees

The complete question is an illustrates the concept of angle bisector;

Where:

, and line PC bisects

Because line PC bisects , then it means that the measure of RPD is twice the measure of CPD:

So, we have:

Substitute

Divide both sides by 2

Apply symmetric property of equality:

Hence, the measure of angle is 70 degrees

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

The total nom of  code that can be used is equal to 5+3 = 8

The answer is in the image 

The answer is in the image 

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Given height of gymnasium is 5/6 height of 30 foot ball

therefore height of gymnasium=5/6 * 30

=25 feet

Volume of rectangular prism=length * width * height

Given,

length=3/8cm

breadth=5/8cm

height=7/8cm

therefore volume=(3/8)*(5/8)*(7/8)

                           =105/512 cm3

Cost before sale tax=$46.00

Cost after including tax=$48.76

Sale tax=$48.76-46.00

=$2.76

we know,

sale tax=((sales tax rate)/100) * cost before sale tax

2.76=((sales tax rate)/100) *46.00

sale tax rate=(2.76*100)/46

                   =276/46

                    =6%

There fore sales tax rate=6%