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Umnica [9.8K]
3 years ago
6

What type of transformation transforms (a, b) to ​(−a, b)​?

Mathematics
1 answer:
mestny [16]3 years ago
5 0
B. Reflection over the y-axis
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In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°. Find all possible values of ∠X, to the nearest degree.
ikadub [295]

Given:

In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°.

To find:

The all possible values of ∠X, to the nearest degree.

Solution:

Law of Sines:

\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}

For ΔWXY,

\dfrac{w}{\sin W}=\dfrac{x}{\sin X}=\dfrac{y}{\sin Y}

Now,

\dfrac{w}{\sin W}=\dfrac{x}{\sin X}

\dfrac{900}{\sin (157^\circ)}=\dfrac{680}{\sin X}

900\sin X=680\sin (157^\circ)

\sin X=\dfrac{680}{900}\sin (157^\circ)

\sin X=0.295219

X=\sin^{-1}(0.295219)

X=17.17067

X\approx 17

Therefore, the value of ∠X is 17 degrees.

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3 years ago
Solve the equation below. Simplify if necessary.
SpyIntel [72]

Answer:

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-4/7v = -26/3

cross-multiply:

3(-4v) = (-26)7

-12v = -182

v = 182/12

v = 15 1/6

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