The meaning of a quadrilateral inscribed in a circle is that the angles on the opposite vertices are supplementary or in other words equals to 180 degrees.
In this exercise it is asked you to find the measure in degrees of angle A. First of all, you have to find the value of x. To do this you have to select two angles on this case angles A and C.
m<A+m<C=180 Substitute the values of angles A and C
2x+9+3x+1=180 Combine like terms
5x+10=180 Subtract in both sides by 10
5x=170 Divide in both sides by 5 to isolate x
x= 34
Now that the value of x is known, you can substitute it into the expression representing angle A.
m<A=2x+9
m<A=2(34)+9
m<A=77The measure of angle A is 77 degrees.
Jasmine is running faster.
Since the track is 1/5 of a km and she can run 1km in 7 minutes, divide seven to get 1.4.
This means that Jasmine can run one lap in 1.4 minutes.
Since a Kyah can run 6 laps in 10 minutes, do 10 divided by 6 and the answe will be 1.6 repeating.
1.4 < 1.6 so Jasmine is faster
No, in order for the lines to be parallel, the slopes have to be the same, it does not matter what the slopes are as long as they are the same slope. The lines could still be parallel if the slopes are negative.
All you've got to do is write an equation. EX 2n-1
