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alexdok [17]
3 years ago
15

The measures of two pairs of corresponding angles of two triangles are 24 degrees and 55 degrees. Explain why the two triangles

are similar.
Mathematics
1 answer:
Ivanshal [37]3 years ago
7 0

Answer:

Are the two triangles below similar?

Triangles ABC and DEF are shown. Angle A measure 30 degrees, angle C measure 65 degrees, side AC measures 14, side AB measures

Yes, because there are two pairs of congruent corresponding angles

No, because there are not two pairs of congruent corresponding angles

Yes, because the corresponding sides are proportional

No, because the corresponding sides are not proportional

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aliya0001 [1]

(A)

P(<em>X</em> < 61.25) = P((<em>X</em> - 55.4)/4.1 < (61.25 - 55.4)/4.1)

… ≈ P(<em>Z</em> ≤ 0.1427)

… ≈ 0.5567

(B)

P(<em>X</em> > 46.5) = P((<em>X</em> - 55.4)/4.1 > (46.5 - 55.4)/4.1)

… ≈ P(<em>Z</em> > -2.1707)

… ≈ 1 - P(<em>Z</em> ≤ -2.1707)

… ≈ 0.9850

5 0
3 years ago
Find the slope and reduce P=(-2,3) Q=(8,3)
Tanya [424]

Answer:

∆y/∆x=y2-y1/x2-x1

=3-3/(-2+3)

=0/1

=o I.e it is undefine

7 0
3 years ago
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Use spherical coordinates. evaluate (9 − x2 − y2) dv, where h is the solid hemisphere x2 + y2 + z2 ≤ 4, z ≥ 0.
avanturin [10]
In spherical coordinates, we have

\begin{cases}x=\rho\cos\theta\sin\varphi\\y=\rho\sin\theta\sin\varphi\\z=\rho\cos\varphi\end{cases}

which gives volume element

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and so the triple integral is given by

\displaystyle\iiint_H(9-x^2-y^2)\,\mathrm dV
=\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{\varphi=0}^{\varphi=\pi/2}\int_{\rho=0}^{\rho=2}(9-\rho^2\sin^2\varphi)\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\varphi\,\mathrm d\theta
=\displaystyle2\pi\int_{\varphi=0}^{\varphi=\pi/2}\int_{\rho=0}^{\rho=2}(9\rho^2\sin\varphi-\rho^4\sin^3\varphi)\,\mathrm d\rho\,\mathrm d\varphi
=\dfrac{592\pi}{15}
4 0
3 years ago
What is the focus of the parabola given by `-(1)/(4)(y + 2)^2 = (x −1)`? A. (-1, 2) B. (1, -2) C. (0, -2) D. (0, 2)
katrin [286]

The correct answer is that the focus is, <u><em>(0,−2)</em></u>

5 0
3 years ago
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Which of the following is true about the diagonals of a rectangle? Select all that are true.
jok3333 [9.3K]

Step-by-step explanation:

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