Answer: Choice B

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Work Shown:

This points us to answer choice B
1200 = 100%
35% of 1200 = 420
1200 + 420 = 1620
There are 1620 students enrolled this year.
1. Slope intercept form. First find two points to get slope: (0,-3) and (-3,-4). Slope is
(-4 - -3)/(-3 - 0)= 1/3
Use one of the points of (x,y) to solve for b
Y=1/3x + b
-3 = 1/3(0) + b
-3 = b so your slope intercept equation is
Y = 1/3x - 3
2. Rate of Change is slope. Your points are (0,10) and (24,6) so slope is (6-10)/(24-0)
= - 1/6 which means that for each 1 unit increase in x, y decreases by 1/6.
3. Standard form is ax + by =c
Notice it is the same line as in the first graph so it's the same equation
y = 1/3x - 3
First, you cannot have fractions, so you have to multiply the equation by 3 to get rid of the 1/3.
3y= x - 9. Now move the x over:
-x + 3y = - 9. Now get rid of the negative value on x by multiplying the entire equation by -1:
x - 3y = 9
To Prove: ΔEFI ~ Δ GFH
Proof:
When two triangles are similar, their corresponding sides are Proportional and their corresponding interior angles are equal.
Two Triangles can be proven similar by following Similarity Criterion.
1. AA
2.SSS
3.SAS
→∠EFI=∠GFH-------[Vertically Opposite angles]
The Other statement which is needed to prove that triangles EFI and GFH are similar is
Option C:→ ∠E ≅ ∠G
So, Two triangles ΔEFI and Δ GFH are Similar by Angle-Angle(AA) Criterion.