2 lines parallel, and 2 triangles have a common angle
So the smaller Δ is similar to the bigger Δ (AA Similarity)
9:(4x-2)+9=12:(3x+2)+12
9:4x+7=12:3x+14
9(3x+14)=12(4x+7)
27x+126=48x+84
21x=42
x=2
So the answer is x=2
Answer:
Step-by-step explanation:
y=mx+b where m is the slope and b is the y intercept
m=(y2-y1)/(x2-x1), we have points (6,0) and (1,-1)
m=(-1-0)/(1-6)=1/5 so we have
y=x/5+b, using point (6,0) we can solve for b
0=6/5+b
b=-6/5
y=x/5-6/5 or more neatly
y=(x-6)/5
Answer:
(i) 
(ii) 
(iii) $36.5
Step-by-step explanation:
Given that:
1. Total Number of fruits = 80
2. Number of mangoes = x
3. Both mangoes and oranges are there in the basket.
Solution (i):
Only mangoes and oranges are there in the basket and the basket is full.
so, Number of mangoes + Number of oranges = Total number of fruits
x + Number of oranges = 80
Number of oranges = 
Solution (ii):
<u>Given:</u>
Cost of an orange = 50 cents = $0.50
Cost of a mango = 40 cents = $0.40
Cost for x mangoes = 
Cost for (
) oranges = 

Solution (iii):
Put value of x = 35 in S(x)

Hence, answers are:
(i) 
(ii) 
(iii) $36.5
Yes simplify because the bottom is the same
The car gets 46 miles per gallon in the city.
Divide total miles driven in th city by miles per gallon to find total number of gallons of gas used:
10,000 miles / 46 miles per gallon = 217.3913 gallons of gas used.
Now multiply gallons used by price per gallon:
217.3913 x $1.75 = $380.43 per year