ANSWER
I) 5:11
ii) 5:11
iii) 125:1331
EXPLANATION
Let the side lengths be in the ratio:
x:y
This implies that the area will be in the ratio:
Take positive square root.
Hence the sides are in the ratio:
x:y=5:11
The perimeter of the smaller hexagon is 6×5=30
The perimeter of the larger hexagon is 6×11=66
The ratio of the perimeter is
30:66=5:11
The volume will be in the ratio
5³:11³
125:1331
Answer:
37 buses and 1 van.
Step-by-step explanation:
The cost to rent a van is $1200 for 50 students and 3 chaperones, while a bus for 10 students and a chaperone is $100 .
The cost of renting buses for 50 students is $500
What we do is rent 37 buses and 1 van
37 buses will take in 370 students with empty 2 spaces in 2 buses for chaperones since the chaperones are 36.
Then rent 1 van to take in 50 students and 1 chaperone.
The total cost here will be
$3700 + $1200 = $ 4900
This will help to safe cost.
Answer:
50
Step-by-step explanation:
The angle is on the right side therefore the arrow is pointed at 180 and the other is pointed at 130. So to get the difference you need to subtract the greater number from the smaller (180-130)=50
Option B is the correct answer.
ΔWVS ≅ ΔWUT
Solution:
Given STUV is a rectangle.
To prove that ΔWVS ≅ ΔWUT:
Step 1: Given STUV is a rectangle.
Step 2: All the angles in the rectangle are right angles.
So that, ∠V = ∠U = 90°
Step 3: ∠V ≅ ∠U (Angle)
Step 4: All rectangles are parallelograms.
Therefore STUV is a parallelogram.
Step 5: In parallelogram opposite sides are congruent.
Therefore, SV ≅ TU (Side)
Step 6: Given WV ≅ WU (Side)
Step 7: From step 3, step 5 and step 6
ΔWVS ≅ ΔWUT by SAS congruence rule.
Option B is the correct answer.
