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Mrac [35]
2 years ago
6

charles had a sheet cake for his birthday when 9/12 remained charles took 1/3 of the remaining cake to wrap and save for later w

hat fraction of the original cake did he wrap
Mathematics
1 answer:
ollegr [7]2 years ago
4 0

Answer:

He wrapped 3/4 of the cake.

Step-by-step explanation:

1/3 of 9/12 is 0.25 and 0.25 converted into a fraction is 3/4

- Hope this helps!

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Consider the statement : Congruent triangles are always similar. Which of the following statements is an example of the statemen
swat32

Answer:

Yes, the congruent triangles are always similar. The following statements are applicable

1) Angles are the same, but sides are proportional to eachother.

2) Sides are the same size.

3)Corresponding angles and corresponding sides are congruent.

Step-by-step explanation:

Yes, they are similar.

For two triangles to be similar, it is sufficient if two angles of one triangle are equal to two angles of the other triangle. Note that if two angles of one are equal to two angles of the other triangle, the third angles of the two triangles too will be equal.

If two triangles are congruent then all corresponding sides as well as corresponding angles of one triangle are equal to those of other triangles. This can happen in four cases

1)- when all sides of triangles are equal,

2) - if one side and two angles of one are equal to one side and two angles of other triangle.

3) - if two sides and included angle of one triangle are equal to two sides and included angle of other triangle

4)- if in two right angled triangles, one side and hypotenuse of one triangle are equal to one side and hypotenuse of other triangle.

Observe that for triangles to be similar, we just need all angles to be equal. But for triangles to be congruent, angles as well as sides should be equal.

Hence, while congruent triangles are similar, similar triangles may not be congruent ( but the converse is not true) .

4 0
3 years ago
Leah has two savings accounts with balances totaling $8,000. She withdrew 15% from one and
DedPeter [7]

Answer:930 Hope this Helps :D

Step-by-step explanation:

For the given problem:

Let the balances of the saving accounts be (x) and (y)

Leah has two savings accounts with balances totaling $8,000

so,

x+y=8000 (1)

She withdrew 15% from one and 40% from the other. If she has $6,350 remaining in the accounts

So, The remaining from the accounts will be (1 - 15%) and ( 1 - 40%)

that will give the decimals: 0.85 and 0.6

so, we can write the following equation:

0.85x+0.6y=6350 (2)

Now, solve the equations (1) and (2) to find (x) and (y)

From equation (1)

y=8000-x (3)

Substitute with (y) from equation (3) into equation (2)

0.85x+0.6*(8000)-x =6350

Now solve the equation

0.85x+0.6*8000-0.6x=6350

0.85x-0.6+4800+6350

0.25x=6350-4800

0.25x=1550

x=6200

Substitute with (x) into equation (3) to find (y)

y=8000-6200=1800

So, the larger account = x = 6200

and the smaller account = y = 1800



Now, we will answer the question, how much money did she withdraw from the account with the larger balance?

so, the answer will be: 15% of x = 0.15 * 6200 = 930



So, the answer will be $930

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2 years ago
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Charlene used 46 minutes
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If the average life span of a dog is 12 years, how many hours can you expect a dog to live? 105,120 105,000 438,000 262,800 105,
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The answer is 262,800 days.
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Find the missing denominator or numerator of 1/2 = /4
Jet001 [13]
Simply cross-multiply about,

\bf \cfrac{1}{2}=\cfrac{x}{4}\implies 4\cdot 1=2\cdot x\implies 4=2x\implies \cfrac{4}{2}=x\implies 2=x
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3 years ago
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