M∠VSR = 180° - m∠VSU = 180° -100° = 80°
Its not plug the x coordinate in for x and the y for y and see if they equal each other
For a clock wise rotation the coordinates will change from(x,y) to (-x,y). The negative sign means opposite by the way.
The probability that a student is in seventh grade, given that he/she is dropped off by parents is <u>option C)</u> 0.22
<u>Step-by-step explanation</u>:
- The total probability of students in 7th grade = 0.56
- The probability of 7th grade students dropped by parents = 0.12
P(student is in 7th grade student is in seventh grade) = P(students in 7th grade) / P(7th grade students dropped by parents).
⇒ 0.12/0.56
⇒ 0.22
As stated in the question
Bethany - x
Amanda - y
the relationships are
Lauren is 13 years older than Bethany
Laurens age = x + 13
David is 11 years older than Amanda
Davids age = y + 11
product of Bethany's and Laurens ages equal to twice Amandas age
x * (x+13) = 2y
x² + 13x = 2y
divide all by 2
x²/2 + 13/2x = y
if they subtract 20 from Bethany and Laurens, then product is equal to Davids age
(x-20)(x+13-20) = y +11
(x-20)(x-7) = y+11
x² -7x -20x+140 = y+11
x² -27x +129 = y
the 2 equations to determine the relationships are
y = x²/2 + 13/2x
y = x² -27x +129
the first option is correct