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zlopas [31]
3 years ago
15

Triangle A B C is reflected across side A C and then is dilated to form smaller triangle D C E. Angles B C A and D C E are right

angles.
In the diagram below, m∠A = 55° and m∠E = 35°. Which best explains the relationship between triangle ACB and triangle DCE?
Mathematics
1 answer:
MrMuchimi3 years ago
8 0

Answer:

The answer is D

Step-by-step explanation:

The triangles are similar because all pairs of corresponding angles are congruent.

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Answer:

Here you have it! Check the attachment :)

Step-by-step explanation:

Consider using WolframAlpha whenever you need a quick plot of a function!

I hope it helps :)

7 0
3 years ago
Find the poin on the graph 0f f(x)=1-x^2 that are closest to0(0,0)
zalisa [80]
Represent any point on the curve by (x, 1-x^2). The distance between (0, 0) and (x, 1-x^2) is

\sqrt{(x-0)^2+(1-x^2-0)^2}=\sqrt{x^2+(1-x^2)^2}=\sqrt{x^2+1-2x^2+x^4}

To make this easier, let's minimize the SQUARE of this quantity because when the square root is minimal, its square will be minimal.

So minimize L=x^4-x^2+1

Find the derivative of L and set it equal to zero.

\frac{d}{dx}(L)=4x^3-2x \\ 4x^3-2x=0 \\ 2x(2x^2-1)=0

This gives you x=0 or x^2=\frac{1}{2} \\ x=\pm\sqrt{2}/2

You can use the Second Derivative Test to figure out which value(s) produce the MINIMUM distance.

\frac{d^2}{dx}=12x^2-2

When x = 0, the second derivative is negative, indicating a relative maximum.  When x=\pm\frac{\sqrt{2}}{2}, the second derivative is positive, indicating a relative MINIMUM.

The two points on the curve closest to the origin are \left( \pm\frac{\sqrt{2}}{2},\frac{1}{2} \right)

7 0
4 years ago
Write cubed root of x2 using a fractional exponent
SIZIF [17.4K]
\sqrt[3]{x^2}  = x^{ \frac{2}{3} }
6 0
4 years ago
Find the sum:261+345+502
zhenek [66]
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6 0
3 years ago
Solve x=7-2t for t.
yuradex [85]

x=7-2t

Move 7 to the other side. Sign changes from +7 to -7.

x-7=7-7-2t

x-7=-2t

Divide by -2 for both sides

x/-2-7/-2=-2t/-2

x/2+7/2=t

Answer: t= x/2+7/2 or t=7/2+x/2

3 0
3 years ago
Read 2 more answers
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