a c and d
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There are 36 dogs in the shelter.
<h3>How to find the total number of dogs in the shelter?</h3>
The ratio of dogs to cats in the shelter is given as 9:15.
The total number of dogs and cats is given as 96.
Let the constant of proportionality be x.
The total number of dogs is 9x and the total number of cats is 15x.
This means that:
9x + 15x = 96
24x = 96
x = 4.
The total number of dogs in the shelter = 9 × 4
= 36
Therefore, we have found that there are 36 dogs in the shelter.
Learn more about ratios here: brainly.com/question/2914376
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Step-by-step explanation:
5×4=20. 20×9=180
+
9×4=36. 36/9=4
180+4=184
answer=184
when a number is next to a letter it mean to multiply
and / means to divide
To prove a similarity of a triangle, we use angles or sides.
In this case we use angles to prove
∠ACB = ∠AED (Corresponding ∠s)
∠AED = ∠FDE (Alternate ∠s)
∠ABC = ∠ADE (Corresponding ∠s)
∠ADE = ∠FED (Alternate ∠s)
∠BAC = ∠EFD (sum of ∠s in a triangle)
Now we know the similarity in the triangles.
But it is necessary to write the similar triangle according to how the question ask.
The question asks " ∆ABC is similar to ∆____. " So we find ∠ABC in the prove.
∠ABC corressponds to ∠FED as stated above.
∴ ∆ABC is similar to ∆FED
Similarly, if the question asks " ∆ACB is similar to ∆____. "
We answer as ∆ACB is similar to ∆FDE.
Answer is ∆ABC is similar to ∆FED.
