Answer:
6 tablespoons
Step-by-step explanation:
It's more logical because tubes of toothpaste do not require such a large amount of toothpaste. Look at your toothpaste tube. I'm sure that it is closer to 6 tablespoons rather than 6 cups.
A. first you can translate the lines 4 squares down.
then reflect the figure on th y line.
(attention: the rotation cant be done.)
B. yes they are. although we translated and reflected the figure l, we did not make any kind of change in size
good luck
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
Answer:
m a g i c t h a t ' s h o w
Answer:
A=266CM
Step-by-step explanation:
p=2l + 2w l=2x+1 w=x+5
66=2[2x+1] + 2{x+5] l=2x9 + 1 w=9+5
66=4x+2 + 2x+10 l=18+1 w=14
66=6x+12 l=19
66-12=6x
54=6x A=L x W
x=9 A=19 x 14
A=266CM
