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:
5
Step-by-step explanation:
10 / 2 = 5
5 times smaller also means 1/5 as big.
Answer:
Step-by-step explanation:
The minimum (or min) of a set of numbers is the number with the smallest value in the set.
In this case, the smallest number in the set is 
.
The answer is nonproportional.
Answer:
he used it as a vehicle to express his political beliefs and take comfort in imagining bad ends for his enemies. However, the poem's main purpose is, to quote Milton, to "justify the ways of G0d to Men."
Step-by-step explanation:
