Answer:
Yes; the corresponding sides are proportional
Step-by-step explanation:
If two figures are similar, the lengths of their sides are proportional. This means if we set up a proportion with the sides we are given and cross-multiply, we get a true statement at the end of it.
Using the similarity statement ABCD~EFGH, we will compare AB to EF and BC to FG:
5/3 = 25/15
Cross multiply:
5(15) = 3(25)
75 = 75
We got a true statement, so the sides are proportional.
Answer:
Step-by-step explanation:
b) Diameter of Mercury = 4.88 * 10³ = 4.88 * 1000 = 4880 km
Radius of Mercury = 4880÷ 2 = 2440 km
c) Mass of Jupiter = 1.898 * 10²⁷ = 18.98 * 10²⁶
Mass of Saturn = 5.68 * 10²⁶
Difference = 18.98 * 10²⁶ - 5.68*10²⁶
= (18.98 - 5.68) * 10²⁶
= 13.30 * 10²⁶
= 1.330 * 10²⁷
The simplified expression for the area of the rectangular table is Three-halves x squared, 3x²/2
<h3>What is the area of the rectangular table?</h3>
Since the carpenter built a square table with side length x. Next, he will build a rectangular table by tripling one side and halving the other.
To find the area of the rectangular table, we know that Area, A = LW where
Now, since the length of the square is x, and the rectangular table has one side of the square tripled and halving the other side .
So,
let
- length of the rectangular table = L = x/2 and
- width of rectangular = W = 3x
So, the area of the rectangular table A = LW
= x/2 × 3x
= 3x²/2
So, the simplified expression for the area of the rectangular table is Three-halves x squared, 3x²/2
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Answer:
it would take 14mph
Step-by-step explanation: