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4 years ago

I need help with 14 I do t get it

Mathematics

1 answer:

finlep [7]4 years ago

7 0

x = 43, AB = 49, BC = 49 and AC =98.

Solution:

Given data:

AC = 3x - 31 and AB = x + 6

B is the midpoint of AC.

Therefore AB = BC .

BC = x + 6

AB + BC = AC

x + 6 + x + 6 = 3x - 31

2x + 12 = 3x - 31

Add 31 on both sides, we get

2x + 43 = 3x

Subtract 2x from both sides, we get

43 = x

AB = x + 6

= 43 + 6

AB = 49

BC = 49

AC = 3x - 31

= 3(43) - 31

= 129 - 31

AC = 98

Therefore x = 43, AB = 49, BC = 49 and AC =98.

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B = 54°, b=15, c= c = ? (Round answers to the nearest hundredth.)

zaharov [31]

Answer:

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Step-by-step explanation:

sine is opposite/hypotenuse, and you have opposite (b=15), so use that

sin(54) = 15/c

c = 15/sin54

then use calculator

c = 18.54

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2 years ago

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4 years ago

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Pavlova-9 [17]

Step-by-step explanation:

From the figure it is clear that:

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3 years ago

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6 0

3 years ago

Read 2 more answers

Solve each triangle using the information provided. If necessary, round to the nearest tenth.

Goryan [66]

Answer:

1) B = 66.5° c = 10.9

Step-by-step explanation:

I will do question one as an example. In general, for these questions you want to use the appropriate trigonometric ratios to solve for the variables and/or apply logic using rules regarding triangles. See attached image for all solving steps.

For side c, we can use Cosine of angle A for a ratio between 10 and c. When we write out the equation, we can solve for side c. So when we write it out, we get the equation:

cos23.5 = ¹⁰⁄c

c = ¹⁰⁄cos₂₃.₅

c = 10.9044 (make sure to round to the nearest tenth, which is one decimal place)

For angle B, since they have given two angles, you can solve for B since all angles of a triangle add up to 180 degrees.

So b = 180 - (90 + 23.5) = 180 - 113.5

b = 66.5

It is also possible to solve this using sine of angle B and solve it from there, but applying the theory this way is much simpler. (this is on the image if you're curious about it)

I hope this helps you with the other 3 questions.

4 0

3 years ago