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masha68 [24]
3 years ago
8

In the diagram, the measurements that are labeled are known, while the other measurements are unknown. Which measurement of acut

e triangle ABC can you find by direct substitution of the labeled measures in the Law of Sines?
A.c

B.m/_C

C.m/_B

D.none

Mathematics
1 answer:
andrew-mc [135]3 years ago
8 0
As the sine rule states,

A/sina = B/sinb = C/sinc .

in the diagram, there are two identified sides and if you use the sine rule, you can find the opposed angles easily.

there are:

side a, with angle â .
side b, with angle b.

so the answer is C.

if you input these into the sine rule, it would be:

a/ sin a = b/sin b
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Find the slope of the line that passes through the pair of points
love history [14]

Answer:

\frac{5,805}{2812}

Step-by-step explanation:

To find the slope from two points you can use the following formula:

m = \frac{y -y_{1} }{x -x_{1} }

Now substitute the two sets of points (\frac{7}{20}, \frac{5}{19} ) and (\frac{5}{9}, \frac{11}{16})

Substitute the values like this:

y = \frac{5}{19}, y_{1} = \frac{11}{16}, x = \frac{7}{20} and x_{1} =\frac{5}{9}

Now you will need to simplify the following expression:

m = \frac{\frac{5}{19} -\frac{11}{16} }{\frac{7}{20}-\frac{5}{9} }

Make sure that denominators are the same before substracting:

m = \frac{\frac{-129}{304} }{\frac{-37}{180} }

when you divide with a fractional number you only need to flip the second fraction over (find its reciprocal). Then just multiply:

m = (\frac{-129}{304} })({\frac{-180}{37} } ) = \frac{5805}{2812}

5 0
3 years ago
Find the length of XY
Pachacha [2.7K]

Since this is a right triangle, you can use the pythagorean theorem, leg^2+leg^2=hypotenuse^2, to find XY. Since we know that 15 and 17 are our legs and that XY is the hypotenuse, we can solve it as such:

15^2+17^2=XY^2\\ 225+289=XY^2\\ 514=XY^2\\ \sqrt{514}=XY

In short, XY is √514, or 22.67 rounded to the hundreths, units long.

7 0
3 years ago
Read 2 more answers
If f(x) is a continuous function defined for all real numbers, f(–1) = 1, f(–5) = –10, and f(x) = 0 for one and only one value o
Mashcka [7]
The answer is would be B. -5
4 0
3 years ago
What is 12a equal to if 4a plus 6b = 10 and 2a-4b=12?
hram777 [196]
12a=x
4a+6b=10
2a+3b=5
2a-4b=12
a-2b=6
2a+3b+1=a-2b
a+5b+1=0
a=-1-5b

2(-1-5b)+3b=5
-2-10b+3b=5
-2-7b=5
-7b=7
7b=-7
b=-1

-1-5*-1=a
-1+5=a
4=a

4*12=48
12a=48

Hope this helps :)
3 0
3 years ago
Read 2 more answers
Hey I am super confused about the equation below. plzz help!!!
marshall27 [118]

Answer:

50.

Step-by-step explanation:

12 x 45 = 540. 45 + 5 = 50.

5 0
2 years ago
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