Answer:
The increment in the model is 106cm
Step-by-step explanation:
Given


Required
Determine the increment
To do this, we simply subtract the initial height of the building from the final height



<em>Hence, the increment in the model is 106cm</em>
Let one acute angle be X and one be Y
X+Y=90 -------Eq.1
2X+12=Y
2X-Y=-12------Eq.2
solving eq 1&2 we get,
3x=78
∴X=26
substituting value X in equation.1
X+Y=90
Y=90-26
∴Y=64
⇒answer:- X=26°
Y=64°
Answer:
11 bottles
Step-by-step explanation:
make a proportion because if you're using the same rate proportions can show that it's equal

cross multiply


divide the answer by 90 to find x

round to 11 because you can't have 10.8 bottles
Answer:
A, C, E
Step-by-step explanation:
By analyzing the graph, we can see that the roots are
and
.
We now want to find all equations of the form
.
This immediately gives C as 1 answer.
We can expand our equation to find other possible solutions!
By the FOIL method: 
We can then divide both sides of the equation to find that
, so A is another answer.
We can complete the square on
to find the last possible solution.
.
We can then multiply both sides of the equation by
to find that
, so E is the last answer.
The proof that the other answers don't work is left as an exercise.
So, the answers are A, C, and E, and we're done!
Answer:
<2 = 40
Step-by-step explanation:
Angles 2 and 3 are alternate interior angles and alternate interior angles are equal when the lines are parallel
<2 =<3 = 40