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Dima020 [189]
2 years ago
5

If a series of rigid transformations maps ∠F onto ∠C where ∠F is congruent to ∠C, then which of the following statements is true

?
triangles ABC and FDE, in which angles A and D are right angles

ΔABC ~ ΔFDE because of the definition of similarity in terms of similarity transformations
ΔABC ~ ΔFDE because of the AA similarity postulate
segment BC ~ segment EF because of the definition of similarity in terms of similarity transformations
segment BC ~ segment EF because corresponding parts of similar triangles are proportional

Mathematics
1 answer:
navik [9.2K]2 years ago
6 0

Answer:

D. segment BC ~ segment EF because corresponding parts of similar triangles are proportional

Step-by-step explanation:

Rigid transformations is a process which can be used to either enlarge, reduce, resize a given object. Examples are: translation, reflection, rotation etc.

Given that  ∠F is congruent to ∠C in the question, this implies that ΔABC is similar to ΔFDE. Thus a scale is required to map the two triangles exactly into one another. Therefore, the statement that is true is segment BC ~ segment EF because corresponding parts of similar triangles are proportional.

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2 years ago
Perform the indicated operation. 8/a - 6/a + 7/a
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Answer:

9/a

Step-by-step explanation:

8/a - 6/a + 7/a

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What is the value of x in the equation 8 + x = 3?<br><br> A. −5<br> B. 5<br> C. 11<br> D. 24
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3 0
3 years ago
Read 2 more answers
Find the surface area of the part of the sphere x2+y2+z2=81 that lies above the cone z=x2+y2−−−−−−√
TiliK225 [7]
Parameterize the part of the sphere by

\mathbf s(u,v)=(9\cos u\sin v,9\sin u\sin v,9\cos v)

with 0\le u\le2\pi and 0\le v\le\dfrac\pi4. Then

\mathrm dS=\|\mathbf s_u\times\mathbf s_v\|=81\sin v\,\mathrm du\,\mathrm dv

So the area of S (the part of the sphere above the cone) is given by

\displaystyle\iint_S\mathrm dS=81\int_{v=0}^{v=\pi/4}\int_{u=0}^{u=2\pi}\sin v\,\mathrm du\,\mathrm dv=81(2\pi)\left(1-\dfrac1{\sqrt2}\right)=(162-81\sqrt2)\pi
4 0
3 years ago
Pauley graphs the change in temperature of a glass of hot tea over time. he sees that the function appears to decrease quickly a
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Non-linear graph best describes this function.

<h3>Why nonlinear?</h3>

As described in the question, Pauley graphs the change in temperature of a glass of hot tea over time. He sees that the function appears to decrease quickly at first, then decrease more slowly as time passes. It is linear because the graph decreases over time. It is linear because there is both an independent and a dependent variable but it doesn't satisfies one condition of being linear. Thus, It's Nonlinear because linear functions are increasing functions. It is nonlinear because linear functions increase or decrease at the same rate.

To learn more about nonlinear function visit:

brainly.com/question/762799

#SPJ4

5 0
1 year ago
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