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Leya [2.2K]
4 years ago
14

Which rule explains why these triangles aren't congruent? see picture below.

Mathematics
1 answer:
Lisa [10]4 years ago
7 0

Answer:

SSS

Step-by-step explanation:

Well, the picture says asks why the triangles are congruent but your question asks why they aren't congruent, so I will just assume that you made a typo, and you really meant: "Which rule explains why these triangles are congruent?"

Well, the triangles have two congruent sides, and they have a common shared side that are both congruent (due to reflexive property), so the triangle theorem SSS (Side-Side-Side) proves that the triangles are both congruent.

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Answer:

Part A. \frac{84.3y}{12} = 7 +\frac{0.1\cdot y}{4}

Part B. The correct quotient is (3 × 4)

Step-by-step explanation:

Part A.

To divide 84.36 by 12 we look for the Highest Common Factor of the whole number and the decimal portions of the numerator and the denominator individually as follows;

\frac{84.36}{12} = \frac{84+0.3636}{12}  =  \frac{2 \times 2 \times 3  \times 7+0.01\times 12\times 3}{12} =  \frac{12  \times 7+0.03\times 12}{12}

Therefore, dividing 84.36 by 12 gives \frac{12  \times 7+0.03\times 12}{12} = 7+0.03 = 7.03

When dividing 84.3·y by 12, therefore, we have;

\frac{12  \times 7+0.3\times y}{12} = 7 +\frac{0.1\cdot y}{4}

Part B.

The correct quotient should have factors of the numerator

Therefore the divisor 12 should be represented as follows

\frac{12  \times 7+0.3\times y}{12} =\frac{12  \times 7+0.3\times y}{3 \times 4}

The correct quotient therefore = (3 × 4)

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