In ΔIJK, k = 730 inches, j = 700 inches and ∠J=44°. Find all possible values of ∠K, to the nearest degree.
I
J
K
j = 700
k = 730
44°

\frac{\sin A}{a}=\frac{\sin B}{b}
a
sinA

=
b
sinB


From the reference sheet (reciprocal version).
\frac{\sin K}{730}=\frac{\sin 44}{700}
730
sinK

=
700
sin44


Plug in values.
\sin K=\frac{730\sin 44}{700}\approx 0.7244294
sinK=
700
730sin44

≈0.7244294
Evaluate.
K=\sin^{-1}(0.7244294)\approx 46.42\approx 46^{\circ}
K=sin
−1
(0.7244294)≈46.42≈46


Inverse sine and round.
\text{Quadrant II: } 180-46=134^{\circ}
Quadrant II: 180−46=134


Sine is positive in quadrants 1 and 2.
\text{Check for possibility:}
Check for possibility:
No triangle's angles may add to more than 180.
44+46=90^{\circ}\leftarrow \text{Possible}
44+46=90

←Possible
Less than 180.
44+134=178^{\circ}\leftarrow \text{Possible}
44+134=178

←Possible
Less than 180.
\text{Answer: }46^{\circ}\text{ and } 134^{\circ}

!!!
Answer: 46
and 134
!!!
yw-Delta math

Answers

Answer 1

Answer:

46 and 134 degrees

Step-by-step explanation:

Answer 2

Answer:

46

and 134

Step-by-step explanation:

kek


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O B. 23 cm
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Answer:

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Step-by-step explanation:

Given data

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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edge2021

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Lines RS, TV, and SW are shown. On a coordinate plane, 3 lines are shown. Line R S goes through (negative 8, 6) and (2, 6). Line T V goes through (negative 6, negative 4) and (8, negative 4). Line S W goes through (2, 6) and (2, negative 8). Which statements are true about these lines? Select three options. Line RS has a slope of 6. Line SW has an undefined slope. Line TV has a slope of 0. Lines RS and TV are parallel. Line SW is perpendicular to line RS, but not to line

Answers

Answer:

b, c, d.

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Line RS goes through (-8, 6) and (2, 6).

Line TV goes through (-6, -4) and (8, -4).

Line SW goes through (2, 6) and (2,-8).

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Line RS has a slope of 6.Line SW has an undefined slope.Line TV has a slope of 0.Lines RS and TV are parallel.Line SW is perpendicular to line RS, but not to line TV.

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3. similarly finding line TV slope:

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Step-by-step explanation:

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