Answer:
15 ft
Step-by-step explanation:
Hi, the illustration for the problem is a right triangle with:
hypotenuse (C)= the length of the ladder = L
horizontal side(A) = distance from bottom of the ladder to the building = L - 6
vertical side(B) = distance from the top of the ladder to the bottom of the building = L - 3
So, we can use Pythagoras formula:
A2 +B2= C2
(L – 6 )² + (L-3)² = L²
L²-12L+36+L²-6L+9 =L²
L2 -18L+45 =0
APPLYING QUADRATIC FORMULA WE OBTAIN:
L =15 OR L=3
If L=3
Vertical side = L-3 = 0 (Length can´t be 0)
So L=15
The angles look like

F- angles are corresponding angles.
Corresponding angles are congruent.
You would need 6 packages for 27 students because 27 isn't divisible by 5 without a remainder and all students need pencils. So, you would need to bu another package of pencils.
Answer:
B
Step-by-step explanation:
because.
Answer: The smaller number is 9 and 5/42. The larger number is 53 and 13/21.
To find these answer you have to write the following two equations.
x - y = 44 and 1/2
7y - x = 10 and 3/14
Then, you can use the substitution method to solve them. Change the first equation to: x = 44 + y. Substitute that into the second equation and solve for y. Once you have that, plug it back into the first equation and solve for x.