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3 years ago

Alex is mailing an envelope that weighs 0.346 pounds.What is the weight of the envelope rounded to the nearest hundredth

1 answer:

8 0

The hundredth place is the second number on the right side of the decimal place. In this case, it is the 4 in the number you listed above.

Rounding is simple, once you get the hang of it. :)

To round on the right side of the decimal, you look at the number to the right of the number. If the number to the right of that number is five or over, the number rounds up. But, if it is less than five, the number remains the same. Either way, the number/s to the right of the one you are rounding disappear after you are done.

So let's look at your equation. The number you wish to round up- the hundredths place is the number 4. The number to the right of the four is a six. Since that is five or over, we round up. So the number would end up being .35 pounds to the nearest hundredth.

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2 years ago

Which additional information could be used to prove that the triangles are congruent using AAS or ASA? Check all that apply.

Ad libitum [116K]

Consider the given triangles.

Given: $\angle C \cong \angle Q$

ASA congruence criterion states that if two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

AAS congruence criterion states that if two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

Consider the first part:

1. In triangles ABC and QPT

If we take $\angle B \cong \angle P , BC \cong PQ$ along with the given condition.

Then the triangles are congruent by ASA congruence criterion.

2. If we take $\angle A \cong \angle T$ and $AC= TQ=3.2$ along with the given condition.

Then the triangles are congruent by ASA congruence criterion.

3. As, $\angle C \cong \angle Q$ , $\angle A \cong \angle T$ and $\angle B \cong \angle P$ , so the triangles can not be congruent.

4. If we take $\angle A \cong \angle T$ and $BC \cong PQ$ along with the given condition.

Then the triangles are congruent by AAS congruence criterion.

5. If we take AC=TQ=3.2 and CB=QP=3.2 along with the given condition, then the triangles are congruent but by SAS congruence criteria neither by ASA nor AAS congruence criterion.

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3 years ago

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You buy a pair of jeans for $24.00. The tax rate is 6.5%. How much is the tax? What is the total cost of the jeans?

xxTIMURxx [149]

Let’s find the tax first:
$24 • 0.065 = $1.56

Now, add the tax to the price of the jeans.
$24 + $1.56 = $25.56

Hope this helps! :)

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3 years ago

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Sholpan [36]

Alright, so in order to find this, you will nee to use the Triangle Inequality Theorem.
We’ll make the values = to variables to make it easier. a=1 b=1 c=2
All of the inequities need to be true.
a+b>c
b+c>a
c+a>b
Now replace the variables.
1+1>2 2>2 (False)
1+2>1 3>1 (True)
1+2>1 3>1 (True)
Since one is false, 1,1, and 2 cannot make a triangle.

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3 years ago

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Drupady [299]

Answer:

Step-by-step explanation:

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