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DiKsa [7]
3 years ago
5

Which theorem(s) can you use to prove that the two triangles are congruent?

Mathematics
1 answer:
kolezko [41]3 years ago
4 0

Answer:

To prove the congruence between two triangles there are several postulates, that can be applied depending on the congruent parts of the triangles.

The postulates are:

<u>SAS (Side-Angle-Side):</u> This postulate states that if two triangles have two corresponding sides congruent and one corresponding angle congruent, we can conclude that those triangles are completely congruent.

<u>ASA (Angle-Side-Angle):</u> This postulate states that if two triangles have two corresponding angles congruent and one corresponding side congruent, then those triangles are congruent.

<u>SSS (Side-Side-Side): </u>This postulate states that if two triangles have all three corresponding sides congruent, then triangles are congruent.

<u>AAS (Angle-Angle-Side):</u> If two pairs of corresponding angles are congruent and one pair of corresponding sides is congruent, then both triangle are congruent each other.

<u>HL (Hypothenuse-Leg):</u> this postulate is applied when we have right angles. It states that two right triangles are congruent if they have one pair of corresponding leg congruent, and the hypothenuses are also congruent. We could conclude that those right triangles are congruent.

From these postulate, we can demonstrate the congruence between two triangles. Then, from that congruence, we deduct the congruence between each corresponding parts of those triangles. For example, if we demonstrate the congruence by AAS, we deduct that the third angle is also congruent, and the other two sides are also congruent.

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Kriste respone is wrong

<em><u>Solution:</u></em>

Given that,

Kristen was asked to write each of the numbers in the expression 80,000 x 25 using exponents

Her response was (8 x 10 to the power of 3) x 5 to the power of 2

No, the response of Kristen is wrong

Let us first understand about exponents

An exponent refers to the number of times a number is multiplied by itself

Given expression is:

80000 \times 25

Here, 80000 has 4 zeros

Therefore, it can be raised as 10 power 4

80000 = 8 \times 10^4

<em><u>Thus the expression becomes:</u></em>

80000 \times 25 = 8 \times 10^4 \times 25

Also, 25 can be written as 5 power 2

80000 \times 25 = 8 \times 10^4 \times 5^2

Thus given expression is written as (8 x 10 to the power 4) x 5 power to the power 2

Thus Kristen respone is wrong, because he has raised 10 to power 3

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1. Popeye is lifting Olive Oyl off the ground by pulling her upward with a force of 108.1 N. She is pretty thin so she only weig
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1 m/s2

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This weight is a force acting downward because it is due to gravity.

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R = 108.1 N - 98.1 N = 10 N

This force causes an acceleration, a, on the mass, m, of Popeye.

R = ma

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