How do I solve this step by step

Mathematics

1 answer:

Rom4ik [11]3 years ago

6 0

They are both drawn as right angled triangles so if we can constract them then they should obey pythagoras theorem

First traingle:- 8^2 = 64
7^2 + 6^2 = 49 + 36 = 85 so this does not obey the theorem and you cant draw it.

Second traingle: 9^2 = 81 and 5^2 + 7^2 = 25 + 49 = 75 so we cant draw that one either.

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What statement is used to prove quadrilateral ABCD is a parallelogram

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Answer:

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Ajax is 5 and 1 fourth feet tall. His sister is 3 eighths foot shorter than Ajax How tall is Ajax Sister?

user100 [1]

Answer:

$4\frac{3}{4}$ feet tall

Step-by-step explanation:

Ajax is "5 and 1 fourth feet tall", which can be written as the mixed number $5\frac{1}{4}$ .

His sister is "3 eighths foot shorter", so she's 3/8 feet shorter than 5 1/4.

So, this is just a subtraction problem:

$5\frac{1}{4} -\frac{3}{8}$

To solve this, we want to convert 5 1/4 into an improper fraction, which is: $\frac{21}{4}$ . Now, we want to find a common denominator. In this case, that common denominator is 8, so $\frac{21}{4} =\frac{42}{8}$ .

Finally, we subtract 3/8 from 42/8: $\frac{42}{8} -\frac{3}{8} =\frac{39}{8}$ . So, Ajax's sister is 39/8 feet. Converting this into a mixed number, we have: 39/8 = 4 $\frac{6}{8} =4\frac{3}{4}$ .