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Aliun [14]
3 years ago
6

If ΔABC is reflected over the x-axis and vertex B has coordinates (2, 7), what are the coordinates of vertex Bʹ?

Mathematics
1 answer:
Irina-Kira [14]3 years ago
7 0
A reflection over the x-axis only change the signal of the coordinate y of the point. Hence, the coordinates of vertex B' are: B'(2,-7).
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sineoko [7]

\Huge\bf  \rightarrow \mid\mathcal{\underline{ \purple{Answer}}} \mid

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3 years ago
Given: ∆ABC, m∠C = 90° CB = 8, m∠B = 38º Find the area of a circumscribed circle. Find the area of the inscribed circle.
vitfil [10]

Answer:

Circumscribed circle: Around 80.95

Inscribed circle: Around 3.298

Step-by-step explanation:

Since C is a right angle, when the circle is circumscribed it will be an inscribed angle with a corresponding arc length of 2*90=180 degrees. This means that AB is the diameter of the circle. Since the cosine of an angle in a right triangle is equivalent to the length of the adjacent side divided by the length of the hypotenuse:

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r=\dfrac{AB}{2}\approx 5.076 \\\\\\A=\pi r^2\approx 80.95

To find the area of the inscribed circle, you need the length of AC, which you can find with the Pythagorean Theorem:

AC=\sqrt{10.152^2-8^2}\approx 6.25

The area of the triangle is:

A=\dfrac{bh}{2}=\dfrac{8\cdot 6.25}{2}=25

The semiperimeter of the triangle is:

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The radius of the circle is therefore \dfrac{25}{24.4}\approx 1.025

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Hope this helps!

6 0
3 years ago
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3 years ago
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Answer:

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Answer:

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3 years ago
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