Answer:
slope of perpendicular line - m = -1/2
passing through (-2,3)
thus,
y-3 = -1/2 (x+2)
or y = -1/2x +2
Answer: 120
Step-by-step explanation:
3+2=5
Let x be the amount of money to be shared
Paul’s share which is (3/5)x is 60+ Quinn’s share which is (2/5)x
Therefore
(3/5)x= (2/5)x + 60
(3/5)x - (2/5)x= 60
(x/5)=60
Cross multiply
x= 60*5=300
It means that Quinn’s share is (2/5)(300)= 120
Answer:
x+20
Step-by-step explanation:
As we can see n the diagram, there are parallel traversals and one line, and the two angles given are same-side interior angles. We know that when there is parallel traversal, and we have same side interiors, the sum of the measure of the two angles are supplementary. Supplementary means 180 degrees, or a straight line.
So we plug everything in and we have 4x+5x=180 degrees
4x+5x=9x, so 9x=180
We divide by 9 on both sides to get the value of x, which is 20
Hope it helps!
Answer:i dont know
Step-by-step explanation:
Answer:
3 peanut cookies
Step-by-step explanation:
Given that :
Plate 1:
Number of chocolate chip = 4
Number of peanut butter cookies = 1
Probability of drawing chocolate chip cookies from plate 1 :
Probability =( number of required outcome / Total possible outcomes)
P(chocolate chip) = 4 / 5
Plate 2:
Number of chocolate chip = 2
Number of peanut butter cookies = p
P(chocolate chip) = 2 / (2 + p)
Probability of drawing chocolate chip from plate 1 and then plate 2 = 8/ 25
(4/5) * 2/(2+p) = 8/ 25
8 / (10 + 5p) = 8/ 25
8(10 + 5p) = 8 * 25
80 + 40p = 200
40p = 200 - 80
40p = 120
p = 3
