Mathematics
16.05.2023 22:17
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Abiologist measured one lizard that was 7/3 inches long and a second lizard that

Abiologist measured one lizard that was 7/3 inches long and a second lizard that was 9/4 inches long. how much longer was the first lizard
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kinqlouiee2253
kinqlouiee2253
4,4(73 marks)

First lizard is 1/12 inches longer than the second one.

Step-by-step explanation:

From the given information it is clear that

Length of first lizard = 7/3 inches

Length of second lizard = 9/4 inches

We need to find difference in length of both lizards.

Difference in length = Length of first lizard - Length of second lizard

Difference=\dfrac{7}{3}-\dfrac{9}{4}

Make denominator common.

Difference=\dfrac{7\times 4}{3\times 4}-\dfrac{9\times 3}{4\times 3}

Difference=\dfrac{28}{12}-\dfrac{27}{12}

Difference=\dfrac{28-27}{12}

Difference=\dfrac{1}{12}

Therefore, first lizard is 1/12 inches longer than the second one.

briannabrewer123
briannabrewer123
4,7(3 marks)

m∠BEC + m∠CED = m∠BED; Angle Addition Postulate

Step-by-step explanation:

Angle addition postulate says that when we two angles joined such that they have one common line segment or ray then a new angle formed by it.

For example : If ∠MON and ∠NOK are joined such that NO is the common line segment between then then the new angle will be ∠MOK or ∠KOM.

In given figure , m∠BEC and m∠CED are joined and they have common line segment CE , then the new angle m∠BED= m∠BEC + m∠CED

Hence, the correct statement that completes the given proof :

m∠BEC + m∠CED = m∠BED; Angle Addition Postulate

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