Answer:
x = 21
Step-by-step explanation:
You can solve this problem by using similar triangles. You can tell that the two triangles are similar by AAA (since two angles are the same, the third must be too).
Now that we've established that the triangles are similar, you need to identify the corresponding sides:
12 corresponds to 28
9 corresponds to x
In order to find x, you'll need to find the scale factor, which you can find by dividing 28 by 12:
28 ÷ 12 = 7/3
Now that you know that 7/3 is the scale factor, you can multiply it by 9 to find x:
9 × 7/3 = x
x = 63/3
x = 21
B is the correct answer ,,,
Answer:
c= 9b/a
Step-by-step explanation:
The statement "y varies directly as x," means that when x increases, y increases by the same factor. The statement "y varies inversely as x means that when x increases, ydecreases by the same factor.
Then, we can say that:
c ∝ b, thus c= kb and c = k/a.
Using both equations we have that:
c= kb/a
Given that a=6, b=22 and c=33 we have that:
33 = 22k/6
Solving for k:
k=9.
Then the equation that models the situation is:
c= 9b/a
Answer:
O weight in kilograms = 25 x 3.5 ÷ 2.2
Step-by-step explanation:
As a butcher, you sell beef in 3.5-pound packages. You anticipate needing 25 packages for the next two days.
Therefore, the total number of pounds for the 25 packages =
3.5 pound packages × 25
= 87.5 pounds
We are told that : The wholesaler from whom you purchase large pieces of meat measures the weight of the beef in kilograms.
Note that:
2.2 pounds = 1 kg
Hence:
87.5 pounds =
= 87.5÷ 2.2
= 39.772727273 kg
He needs to buy 39.772727273kg from the wholesaler
The equation can you use to determine the weight of the beef, in kilograms, that you need to purchase from the wholesaler is:
O weight in kilograms = (25 x 3.5) ÷ 2.2
Answer:
2.59 feet
Step-by-step explanation: