On this picture is shown a quadrilateral inscribed in a circle and by the Inscribed Quadrilateral Theorem the angles on the opposite vertices are supplementary, or in other words are equals to 180 degrees.
On this exercise it is asked to find the measure of angle B, First of all, you need to find the value of x. To so you have to select two opposite angles on this case angles A and C.
m<A+m<C=180 Substitute the given values for angles A and C
x+2+x-2=180 Combine like terms
2x=180 Divide by 2 in both sides to isolate x
x=90
Now, that the value of x is known you can substitute it in the expression representing angle D, and then subtract that number from 180 to find the measure of angle B.
m<D=x-10 Substitute the value of x
m<D=90-10 Combine like terms
m<D=80
m<B=180-m<D Substitute the value of angle D
m<B=180-80 Combine like terms
m<B=100
The measure of angle B is 100 degrees, and the value of x is 90.
Answer: Gear B turns 90 times when gear A turns 60 times
Step-by-step explanation: To solve this you just 30x3=90
The answer is 7 remainder 2.
Answer:
The data file is included in attached excel file.
Step-by-step explanation:
There are seven variables in the data file for four persons interviewed. Person type, marital status, ethnic group and gender are categorical variables while age, number of pets and GPA are quantitative variables. Person type is classified as A,B,C and D. Marital status consists of category married and single. Age of persons lies between 20-50. Ethic group has three categories that are white, Asian and Hispanic. Gender of persons has two categories male and female. Number of pets for the persons interviewed lies in the range of 2 to 5. Last GPA variable ranges from 2.2 to 3.8.
Answer:
Yes. The girls to boys ration is the same
Step-by-step explanation:
For skating
Girls to boys ratio = 12:14 = 6:7
For birthday party
Girls to boys ratio = 18:21 = 6:7
