1) the small and large triangles are similar, then we can write:
x/24 = 8/18
Cross multiplication → 18x = 24.8 → 18x = 192 and x = 192/18
and x = 32/3 Or 10 ²/³
2) Δ ABC is similar to Δ EDC Since:
∠A = ∠D = 90°
∠C is common
Answer:
4(a). C= 3 + 1.5x
b. 'x' stands for the number of times the cup is refilled.
c. 3 + 1.5 (5)= $10.50
d. My answer to part (c) makes sense because the price of the cup is $3, and I have to pay $1.50 for each additional refill, in accordance to the formula I wrote.
Step-by-step explanation:
The original price of the cup is 3 dollars, but with each refill you get, you have to pay $1.50.
Answer:
13 + 14 + 15
Step-by-step explanation:
n + (n + 1) + (n +2) =42
n + n + n + 1 + 2 = 42
3n + 3 = 42
(subtract 3 from both sides)
3n = 39
(divide both sides by 3)
n = 13
(solve)
n + (n + 1) + (n +2) =42
13 + (13 + 1) + (13 + 2) = 42
13 + (14) + (15) = 42
13, 14, 15
(Hope this helps, have a nice day!)
Person A takes 2.3 days to paint the house working alone
Person B takes 13.8 days to paint the house working alone
<em><u>Solution:</u></em>
Let "x" be the number of days it takes person A to paint the house
Person A can paint the neighbor's house 6 times as fast as Person B
Therefore.
Number of days it takes person B to paint the house = 6x
Their rates of painting are added to get the rate working together
Thus person A takes 2.3 days to paint the house working alone
Person B = 2x = 6(2.3) = 13.8
Thus person B takes 13.8 days to paint the house working alone
If they are in the same line yes. If they aren't then its considered non-collinear.
