Answer:
x = 1/2
y = 24
Step-by-step explanation:
y = 12 / x
y = 6 / x²
12 / x = 6 / x²
x² / x = 6 / 12
x = 1 / 2
y = 12 / x
y = 12 / (1/2)
y = 24
If we identify the lines by ...
1. y = -0.5x -3
2. y = -3.5x -15
3. y = 5x +19
4. y = 1.25x +4
Then the matches are ...
BC - 2
DE - 1
FG - none
HI - 4
JK - none
LM - 3
_____
Whenever there is a lot of repetitive math to do, I usually find it easier to let a calculator or spreadsheet do it. Here, the graphing calculator is computing the slope between the points. The slopes of parallel lines are the same.
Answer:
first angle be 30°
second angle be 70°
third angle be 80°
Step-by-step explanation:
first angle be x
second angle be y
third angle be z
x+y+z=180
given, y+z = 5x; z=5x-y
also, z=y+10
5x-y = y+10
5x= 10+y+y = 10+2y
x= (10+2y)/5
x+y+z=180
(10+2y)/5 + y + y+10 = 180
(10+2y)/5 = 180 -2y -10
(10+2y)/5 = 170-2y
multiply both sides by 5
10+2y = 5(170-2y)
10+2y= 850-10y
2y+10y = 850-10
12y= 840
y= 840/12 = 70°
z=y+10 =70+10= 80°
5x= (10+2y) = 10+2(70) = 10+140= 150
x = 150/5 = 30°
Answer:
Insurance will pay $250,000 and Ronaldo will pay $90,000
Step-by-step explanation:
50/250 means 50 is the maxi9$50,000 per person for body injury liability while 250 means $250,000 maximum for one accident for body injury liability claim.
18 children each was awarded $20,000 as a result of lawsuit
Total amount of lawsuit=18×$20000= $360000
Ronald has 50/250 BI
Total amount insurance will pay =250,000
Ronald will have to pay= $(360,000-250000)=$90,000