The marked angles are opposite angles, and as such they have the same measure. So, we have

Subtract 2a and 11 from both sides to get

Divide both sides by 4 to get

Now that we know the value of a, we can compute the measure of the angles. We can also verify that the solution we found is correct by verifying that both expressions actually give the same result:


1) in order to solve this problem you must to obtain The value of K, for it you know by definition that the horizontal slope of the side BC is zero ,
then m = Y2-Y/X2-X1, 0 = 5-K/4-6⇒0 = 5-K⇒K = 5
known this value for K you ca find the equation of thE line that pass through A and C
2) Following the same procedure in first place you calculate the slope with the points A(-2,1) Y C ( 4,5)
m= 5-1/4-(-2) = 2
now with any point A or C and the slope you obtain the line
A(-2,1)
y-y1 = m (x-x1) , Y-1= 2(X-(-2)⇒Y-1= 2X+4⇒Y=2X+4-1⇒Y =2X+3
8 and 1/2 as an improper fraction is 17/2
To convert an improper fraction to a mixed fraction, follow these steps:
Divide the numerator by the denominator.
Write down the whole number answer.
Then write down any remainder above the denominator.
Answer:
y = 3x - 5
Step-by-step explanation:
Points on given line: (-3, 2), (0, 1)
m1 = slope of given line; m = slope of perpendicular
Slope of given line = m1 = (y2 - y1)/(x2 - x1) = (2 - 1)/(-3 - 0) = 1/(-3) = -1/3
The slopes of perpendicular lines have a product of -1.
m1 * m = -1
-1/3 * m = -1
m = 3
Slope of perpendicular: m = 3
Point on perpendicular: (3, 4)
y - y1 = m(x - x1)
y - 4 = 3(x - 3)
y - 4 = 3x - 9
y = 3x - 5
Answer: y = 3x - 5
Answer:
80 games
Step-by-step explanation:
10wins/16 games=50 wins/? games
10 times 5=50 so 16 times 5 =80
10.g=16.50
10/g=800/10
g=80 games