RQPO is a trapezoid. What is the value of x?

2

63°

(6x + 9°

R

18°

Step-by-step explanation:

Find the diagram attached

From the diagram, since the opposite side are parallel, the sum of the adjacent angle is 180 degrees

From the diagram, m<RQP + m<QPO = 180

Given

m<RQP = 6x+9

m<QPO = 63

Substitute

6x+9+63 = 180

6x + 72 = 180

6x = 180 - 72

6x = 108

x = 108/6

x = 18 degrees

Hence the value of x is 18°

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

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

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

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

The answer is in the image 

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

therefore height of gymnasium=5/6 * 30

=25 feet

There are 6 outcomes 1,2,3,4,5,6

Total outcomes = 6

Outcomes when rolling a number is 4 or less = 1,2,3,4

Total outcome when rolling a number is 4 or less=4

Probability = required outcome/total outcome

                 =4/6

                 =2/3

Therefore probability = 2/3