This is the concept of algebra, let the original length of the hexagon be x, after the dilation the length became x×7/5=7/5x
the perimeter of the original figure is:
6*x=6x
The perimeter of the enlarged on is:
6*7/5x=8.4x
therefore the perimeter of the new compared to the old will be:
8.4x/6x
=1.4
the new perimeter is 1.4 times the old perimeter
Step-by-step explanation:
Let Jack's present age be x
Hence, his fathers present age=4x
Jacks age after 5 years= (x+5)
Jacks Fathers age after 5 years= (4x+5)
We know.. that the difference between their ages fives years later is 10.. hence
4x+5-(x+5)=10
4x+5-x-5=10
3x = 10
x= 3.3 years old...
Hence,
Jacks present age = 3.3 years
Fathers present age= 13.2 years...
Hope it helps .. I know that the answer comes in decimals... but the questions' like that..
Answer:
Step-by-step explanation:
<u>The difference in interest amount is:</u>
- $500*4*(4.5 - 2.5)/100 = $40
Jason received $40 more than Alistair
Answer: C and E
Step-by-step explanation:
The plane starts at 32,460 feet.
It then ascends 1645 feet. Ascending means it's going up higher. So we add.
32,460 + 1645 = 34,105 (C)
From here (34,105 feet) the plane descends by 3/5 of it's height. Descending means it's lowering. So we subtract.
But first we have to figure out how much we are subtracting.
3/5 is equal to .6
Multiply to find 3/5 of current height.
34,105 × .6 = 20,463
So the plane descends by 20,463 feet.
34,105 - 20,463 = 13,642 feet (E)
Answer:
m∠QPT = 110°
Step-by-step explanation:
1. We can use exterior angle theorem to find m∠QPT. Exterior Angle Theorem states that the exterior angle of a triangle is equal to the sum of the two remote angles in that same triangle.
- This means that 6x + 20 = x + 40 + 4x - 5. Then, we can plug in the value of x into 6x + 20 and find the measure of ∠QPT.
2. (Solving)
Step 1: Combine like terms.
Step 2: Subtract 20 from both sides.
Step 3: Subtract 5x from both sides.
Step 4: Check if solution is correct.
3. Now, let's plug in 15 for 6x + 20:
Therefore, m∠QPT = 110°.
