Answer:

Step-by-step explanation:
Given:
AC = 5
BC = 6
DB = 4.2
∠ACD ≅ ∠BCD
AD = 
∵ ∠ACD ≅ ∠BCD
∴ CD is the angle Bisector of ∠ ACB
We know that, from angle bisector theorem that,
The angle bisector of an interior angle of a triangle divides the opposite side in two segments such that the two segments are proportional to the other two sides of the same triangle.
Therefore, the sides that are in proportion are given as:
Substituting the given values we get:

Therefore, the value of
is 3.5.
So,
Her average so far is the sum of the five scores divided by the number of tests she has taken so far.
(87 + 81 + 85 + 90 + 78)/5 = 84.2
(87 + 81 + 85 + 90 + 78)/5 < 85 :(
She will not get into that college if she doesn't increase her average on the last test.
85 - 84.2 = 0.8
0.8(5) = 4.0
On her last test, she needs to score 4 points higher than her current average in order to get into the college.
84.2 + 4 = 88.2
Jessica needs to score at least 88.2 on her last test.
You take 4x +9x and you get 13x then you take 13 +3 and you get 16 so you have the equation 13x+16=120. then you subtract 16 from both sides and you end up with 13x=104 then divide 104 by 13 and you get x=8
So you divide by 2 because there is 2 buildings. You get 760. Now, just take 200 away from one building, and 200 away from the other, and you get 560 for Building A, and 960 from Building B.