Answer:
4 : 2
Step-by-step explanation:
We are given ΔABC ≅ ΔA'B'C'.
When two triangles are congruent, their corresponding sides and angles are congruent.
Since, the sides of the triangles are in relation,
AB = 2 × A'B' and side BC = 2 × B'C' i.e. 4 = 2 × 2 and 9 = 2 × 4.5.
Therefore, the ratio of the corresponding sides are given by 4 : 2 and 9 : 4.5 i.e. 2 : 1.
Since, the ratio of the corresponding sides comes out to be 2 : 1 = 4 : 2.
Hence, the ratio of the corresponding sides is 4 : 2.
Answer:
Volume: 45000cm^3
Surface area: 6600cm^2
Step-by-step explanation:
The volume is all the side lengths multiplied, so 60*25*30 = 45,000 cm^3.
Now let's calculate the surface area.
The bottom is the width * the length, or 60*25 cm^2.
One of the sides is the length * the height, or 60*30 cm^2. This is multiplied by 2 because there are 2 of those sides.
The other pair of sides is the width * the height, or 25*30 cm^2, again multiplied by 2.
In total, the surface area is
60*25+2*60*30+2*25*30 = 6600cm^2
Answer:
Step-by-step explanation:
y - 6 = 5(x + 8)
y - 6 = 5x + 40
y = 5x + 46
Answer:
Step-by-step explanation:
<u>Given</u>
- Base pay = $835
- Commission = 5,75% of sales (it is assumed commission rate same as in July)
- Sales in August = $24116
<u>Total pay in August:</u>
- Total pay= Base pay + commission
- 835 + 24116*0.0575 = $2221.67
Answer:
x = 3 and y = 0
Step-by-step explanation:
To find the solution where you have two equations is called a System of Equations.
What you do is you notice there are two equations and the let both equations equal each other. We can do this because both equations start with a y. These "y" work like puzzles and you can connect the "x+3" and "2x + 6" together. Then solve for it. Here's what i mean,
y = x+3
y = 2x+6
Now connecting them,
x+3 = 2x+6
Subtract x from both sides
3 = x + 6
Subtract 6 from both sides,
x = -3
Now solve for y,
y = -3 + 3 = 0
So our solution is x = 3 and y = 0.
