Three vertices of a rectangle have coordinates (3,4), (5,-4), and (-7,-7). What is the y coordinate of the fourth vertex?

1 answer:

8 0

- Three vertices of a rectangle have coordinates (–3, 1), (7,1), and (7, –4). ... What are the coordinates of the fourth vertex of the rectangle? A. (–3, –4) B. (–3, –1) C. (7, –3) ... go straight down basically -3 there has to be two -3 for x coordinate and two 7 for y coordinate ... Mathematics; 5 points; 37 seconds ago.

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Find angle B. What is angle B.

julsineya [31]

Answer:

B=45 Degrees

Step-by-step explanation:

You can use law of sines to answer. Law of Sines states that $\frac{sin(a)}{A} =\frac{sin(b)}{B}$ . That means that $\frac{sin(60)}{4\sqrt{6} }=\frac{sin(b)}{8}$ . Multiplying 8 to both sides gives us $\frac{8sin(60)}{4\sqrt{6} }=sin(b)$ . By using inverse of sin, we get $b = sin^{-1} (\frac{8sin(60)}{4\sqrt{6} } )$ . Plugging that into a calculator gives us b=45 degrees.