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.
A consistent system of equations is a system with intersecting lines and lines that have the same equation.
A consistent system is the system of equations with at least one solution or infinite number of solutions.
So , the intersecting lines will always have a solution and the lines with the same equation will have infinite number of solution.
The graph of a system of equations with different slopes will have no solutions. Correct option in "Never"
If the system of equations have different slopes then the equations are not parallel, hence the equations will always have a solution.
Answer:
3/10
Step-by-step explanation:
There are 20 marbles. 6 of them are blue.
P = 6/20 = 3/10
Answer:
Mean = -1,115,000 per year.
Step-by-step explanation:
Mean = (Σx)/N
The mean is the sum of variables divided by the number of variables
Σx = sum of variable = change in number of visitors over a 10 year period = -11150000
N = number of variables = 10
Mean = (-11150000)/10
Mean = -1,115,000 per year.
Hope this Helps!!!
Answer:
12
Step-by-step explanation:
4hoursx3 temp increase=12
