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3 years ago

PLZ HELP ME- The measure of b is __. a0

Mathematics

2 answers:

dimaraw [331]3 years ago

8 0

Answer:

The answer is 21

Step-by-step explanation:

anastassius [24]3 years ago

4 0

Answer:

b = 21

Step-by-step explanation:

By the Pythagorean Theorem, which states that if you have a right angle with legs of a and b, and a hypotenuse of c, then a^2+b^2=c^2. Use this on the right triangle in the diagram to get 841 = 400 + b^2, or 441 = b^2 and b = 21.

Note: I think that the 1st diagram was unnecessary. ;)

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Prove the following statement.

gayaneshka [121]

Answer:

You can prove this statement as follows:

Step-by-step explanation:

An odd integer is a number of the form $2k+1$ where $k\in \mathbb{Z}$ . Consider the following cases.

Case 1. If $k$ is even we have: $(2k+1)^{2}=(2(2s)+1)^{2}=(4s+1)^{2}=16s^2+8s+1=8(2s^2+s)+1$ .

If we denote by $m=2s^2+2$ we have that $(2k+1)^{2}=8m+1$ .

Case 2. if $k$ is odd we have: $(2k+1)^{2}=(2(2s+1)+1)^{2}=(4s+3)^{2}=16s^2+24s+9=16s^{2}+24s+8+1=8(2s^{2}+3s+1)+1$ .

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This result says that the remainder when we divide the square of any odd integer by 8 is 1.

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pogonyaev

Answer:

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Step-by-step explanation:

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