Answer:
The answer is 2.
Step-by-step explanation:
11(7) - 75
77-75
=2
Let x=ab=ac, and y=bc, and z=ad.
Since the perimeter of the triangle abc is 36, you have:
Perimeter of abc = 36
ab + ac + bc = 36
x + x + y = 36
(eq. 1) 2x + y = 36
The triangle is isosceles (it has two sides with equal length: ab and ac). The line perpendicular to the third side (bc) from the opposite vertex (a), divides that third side into two equal halves: the point d is the middle point of bc. This is a property of isosceles triangles, which is easily shown by similarity.
Hence, we have that bd = dc = bc/2 = y/2 (remember we called bc = y).
The perimeter of the triangle abd is 30:
Permiter of abd = 30
ab + bd + ad = 30
x + y/2 + z =30
(eq. 2) 2x + y + 2z = 60
So, we have two equations on x, y and z:
(eq.1) 2x + y = 36
(eq.2) 2x + y + 2z = 60
Substitute 2x + y by 36 from (eq.1) in (eq.2):
(eq.2') 36 + 2z = 60
And solve for z:
36 + 2z = 60 => 2z = 60 - 36 => 2z = 24 => z = 12
The measure of ad is 12.
If you prefer a less algebraic reasoning:
- The perimeter of abd is half the perimeter of abc plus the length of ad (since you have "cut" the triangle abc in two halves to obtain the triangle abd).
- Then, ad is the difference between the perimeter of abd and half the perimeter of abc:
ad = 30 - (36/2) = 30 - 18 = 12
<u>Answer:</u>
- 2n + 12 = 100 (Equation)
- 2n = 88 (Solving)
- n = 44 people bought muffins at the bake sale. (Solving)
<u>Step-by-step explanation:</u>
- 100 muffins, and 2 in each package. Therefore, there are 50 packages. However, in the end, there are 12 left, so there must have been 6 packages left.
Answer:
If you mean getting lower numbers then they are nonequivalent if bigger numbers they are equivalent
Step-by-step explanation:
Answer:
Step-by-step explanation:
the surface area = area of the 4 faces+ area of the 2 bases
4 *(15*8) + 2*( 8*6) = 480+96 = 576 cm²
if the length of the faces tripled, the two bases remain unchanged because the prism just gets taller on the same bases.
