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tekilochka [14]
3 years ago
11

Help please last question, please I need the naswer

Mathematics
1 answer:
Mrac [35]3 years ago
3 0
Answer: -153

Explanation:

First term = -21
Difference = - 27 - (-21) = - 27 + 21 = -6

23rd term = - 21 - 6(23 - 1) = - 21 - 138 + 6 = - 159 + 6 = -153
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<u>Answer-</u>

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<u>Solution-</u>

Triangle XYZ is a right angle triangle with ∠Y=90°

Triangle XYZ is also an isosceles triangle, as

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Therefore, triangle XYZ is a right angle isosceles triangle.

So,

XY = YZ = 9 cm

Applying Pythagoras theorem,

\Rightarrow XZ^2=XY^2+YZ^2\\\\\Rightarrow XZ^2=9^2+9^2\\\\\Rightarrow XZ^2=2\times 9^2\\\\\Rightarrow XZ=\sqrt{2\times 9^2}=9\sqrt2

In a right angle triangle, always the hypotenuse is the largest. So XZ is the longest segment in triangle XYZ.


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