Answer:
77
Step-by-step explanation:
$2790 is shares equally between 3 committees. each committee would get - $2790 / 3 = $930
If a shirt costs $12 and the Sports Committee gets $930, the committee would get $930 / $12 = 77.5
The committee cannot get half a shirt, so the greatest number of shirt that can be purchased is 77
Neither are correct.
Navene has broken the problem up and simply added numbers together to get "4577"
Annabelle is also wrong because whereas she multiplied, she also broke up the numbers in the equation to get "46710"
The answer should be 18,690,300
Consider two triangles AEB and CEF. In these triangles:
- ∠AEB≅∠CEF (as vertical angles);
- ∠EAB≅∠ECF (lines AB and CD are parallel and AC is transversal, then these angles are congruent as alternate interior angles);
- ∠ABE≅∠CFE (lines AB and CD are parallel, BF is transversal, then these angles congruent as alternate interior angles).
Thus, by AAA theorem, 
Corresponding sides of similar triangles are proportional, then

ABCD is a parallelogram, then AB=CD.
Therefore,
CD=2CF and CD=DF+CF. Equate these two expressions:
DF+CF=2CF,
DF=CF.
This gives you that DF:CF=1:1.
Answer: 1:1
She made a mistake when she subtracted x1 from x2.
Step-by-step explanation:
Step 1 :
a)
The formula used by Lorena to calculate the slope between 2 points is correct
So the statement given in option 1 is not the reason for her mistake
Step 2:
b)
She has taken the fourth and fifth point and correctly used the x and y co ordinates to calculate the slope
Hence the statement in second option is not true
Step 3:
c)
While calculating the slope the denominator is -2 - (-4) . This gives 2 as the answer. But she has made a mistake in this subtraction giving -6 as the answer.
Hence she has made a mistake in subtracting x1 from x2 and this statement is true
Step 4:
d)
She has not made any mistake in subtracting y1 from y2. Hence this statement is not true