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Triss [41]
2 years ago
12

In Figure 5.26 to the right, ABCDis asquare. Find the measure of<ABD​

Mathematics
1 answer:
AVprozaik [17]2 years ago
4 0

Answer:

∠ABD = 45°

Step-by-step explanation:

Since ABCD is a square, its diagonals (Line BD) bisect the angles of the corners of the square (∠ABC) into two equal angles (∠ABD and ∠CBD). The angle of each corner is 90° so you can find ∠ABD.

2(∠ABD) = 90°

∠ABD = 90° ÷ 2

∠ABD = 45°

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Answer:

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Step-by-step explanation:

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3 years ago
Explain why any of the four operations placed between two terms 5 and -3 sqrt (8) will result in an irrational number
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Let

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This means that

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Multiplication/division:

The logic is actually the same: if we multiply the two terms we get

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if again we assume x to be rational, we have

\sqrt{8} = -\dfrac{x}{15}

But if x is rational, so is -x/15, and again we come to a contradiction: we have the square root of 8 on one side, which is irrational, and -x/15 on the other, which is rational. So, again, x must have been irrational. You can prove the same claim for the division in a totally similar fashion.

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Find x if f(x) = 2x + 7 and f(x) = -1.
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