If BC is parallel to DE then ∠D ≅ ∠B and ∠E ≅ ∠C. Therefore
ΔABC is similar to ΔADE.
The sides of smaller triangle are in proportion with sides of bigger triangle.
Therefore we have the equation:
We have AC = x, AE = x + 15, AB = 8, AD = 8 + 10 = 18.
Substitute:
<em>cross multiply</em>
<em>use distributive property a(b + c) = ab + ac</em>
<em>subtract 8x from both sides</em>
<em>divide both sides by 10</em>
<h2>Answer: AC = 12</h2>
Answer:
0.125
Step-by-step explanation:
First you have to find out the cost for a single egg.
Since there are a dozen (12) eggs, you can divide the total cost by that.
1.12/12 ≈ 0.09.
Using the base cost of an egg, you can find out how much 3 eggs would cost.
0.09 x 3 = $0.27
Average speed for Jaden’s train
= 130 km / (75/60) hours
= 130 km / 1.25 hours
= 104 km/h
Dani’s train travels from 15:15 to 18:30, which is 3 hours and 15 mins.
3 hours and 15 mins = 3.25 hours
Average speed of Dani’s train
= 312 km / 3.25 hours
= 96 km/h
Difference
= 104 - 96
= 8 km/h
Start with a proportion, to get the number of degrees in 30 seconds:
(150 degrees / 5 seconds) = ('D' degrees / 30 seconds) .
Cross multiply the proportion: (150 x 30) = 5 x D
4,500 = 5 x D
Divide each side by 5 : 900 = D
The globe turns 900 degrees in 30 seconds.
How many rotations is that ?
Each rotation is 360 degrees.
So 900 degrees is
(900 / 360) = <em>2.5 rotations</em> in 30 seconds.
