Answer:
D. 10.49
Step-by-step explanation:
(see attached for reference)
Here we have two right triangles formed by dividing a larger right triangle by the Altitude (height) of the larger right triangle.
In this special case, all 3 triangles (2 small and 1 large) are SIMILAR and hence we can use the ratios of similar triangles to solve this.
In our case, ΔGFE is similar to ΔGHF
hence FG/GE = GH/FG
We are given that GE = 10 and GH = 11, hence
FG/10 = 11/FG
FG² = (10)(11)
FG² = 110
FG = ±√110
FG= 10.49
Answer:
There are 10 dogs in the kennels
Step-by-step explanation:
The equivalent fraction relationship between the number of dogs and cats in the kennels is 1/2.
Which means, if the number of dods and
is the number of cats, then,
Given that there are 20 cats, so
Now, from equation (i) we have,
.
Hence, there are 10 dogs in the kennels.
