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3 years ago

7

hank cut a cake into 12 equal pieces and ate 2 pieces. he has 10/12 of the cake left to serve on plates. what part of the cake d

id he put on each plate?

2 answers:

balu736 [363]3 years ago

5 0

The part of the cake he pit on each plate is 2/12 or 1/6

malfutka [58]3 years ago

4 0

Make a circle with 12 slices color 2 of them any color you put 10 make a line up under the 12 and put 10 then do 12-2=10

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In Triangle XYZ, A is the midpoint of XY, B is the midpoint of YZ, and C is the midpoint of XZ.

Roman55 [17]

The perimeter of triangle ABC is 24 units

Step-by-step explanation:

If a segment joining the mid points of two sides of a triangle, then

this segment is:

Parallel to the third side
Its length is half the length of the third side

In The triangle XYZ

∵ A is the mid point of XY

∵ B is the mid point of YZ

∴ AB = $\frac{1}{2}$ XZ

∵ XZ = 18 units

- Substitute the value of XZ in AB

∴ AB = $\frac{1}{2}$ × 18 = 9 units

∵ B is the mid point of YZ

∵ C is the mid point of XZ

∴ BC = $\frac{1}{2}$ XY

∵ AY = 7 units

∵ AY = $\frac{1}{2}$ XY

∴ XY = 2 × AY

∴ XY = 2 × 7

∴ XY = 14 units

∴ BC = $\frac{1}{2}$ × 14 = 7 units

∵ A is the mid point of XY

∵ C is the mid point of XZ

∴ AC = $\frac{1}{2}$ YZ

∵ BZ = 8 units

∵ BZ = $\frac{1}{2}$ YZ

∴ YZ = 2 × BZ

∴ YZ = 2 × 8

∴ YZ = 16 units

∴ AC = $\frac{1}{2}$ × 16 = 8 units

∵ The perimeter of a triangle = the sum of the lengths of its sides

∴ Perimeter Δ ABC = AB + BC + AC

∴ Perimeter Δ ABC = 9 + 7 + 8 = 24 units

The perimeter of triangle ABC is 24 units

Learn more:

You can learn more about triangles in brainly.com/question/5924921

#LearnwithBrainly

5 0

3 years ago

Help Me Pls Thank You

mart [117]

Answer: It's b

Step-by-step explanation:

7 0

3 years ago

Which of the following is the solution of –6x – 17 = 19?

Ostrovityanka [42]

-6x=19+17
-6x=36 /(-6)
x=-6

4 0

4 years ago

Read 2 more answers

Mary is trying to decide what potato chips she wants for a snack. In her variety bag there are 4 salt and vinegar, 2 BBQ, 12 Dor

zzz [600]

If she reaches to the bottom of the nag she will most likely to find the Doritos

4 0

3 years ago

Hey guys<br>im new here<br>please solve this for me with steps!<br>ill mark as the best answer

Vinil7 [7]

Answer:

The factors of $2(x+y)^2-9(x+y)-5$ is ((x+y)-5)(2x+2y+1)

Step-by-step explanation:

Given polynomial

=> $2(x+y)^2-9(x+y)-5$

To Find:

The factors of the polynomial =?

Solution:

Lets assume k = (x+y)

Then $2(x+y)^2-9(x+y)-5$ can be written as $2k^2-9k-5$

Now by using quadratic formula

k = $\frac{-b\pm\sqrt{(b^2-4ac}}{2a}$

where

a= 2

b= -9

c= -5

Substituting the values, we get

k = $\frac{-b\pm\sqrt{(b^2-4ac)}}{2a}$

k = $\frac{-(-9) \pm \sqrt{((-9)^2-4(2)(-5)}}{2(2))}$

k = $\frac{-(-9) \pm \sqrt{(81+40)}}{4}$

k = $\frac{-(-9) \pm \sqrt{(121)}}{4}$

k = $\frac{-(-9) \pm 11}}{4}$

k= $\frac{ 9 \pm 11}{4}$

k = $\frac{20}{4}$ k = $\frac{-2}{4}$

$k_1 =5$ $k_2 = -\frac{1}{2}$

$2k^2-9k-5= 2(k-5)(k+\frac{1}{2})$

Solving the RHS we get

$\frac{2}{2}(k-5)(2k+1)$

$(k-5)(2k+1)$

Substituting k = x+y

$((x+y)-5)(2(x+y+1)$

$((x+y)-5)(2x+2y+1)$

5 0

3 years ago