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Sergeu [11.5K]
2 years ago
15

On a ΔABC, mΔA=80, mΔB=60 Find mΔC

Mathematics
1 answer:
Furkat [3]2 years ago
4 0

The measure of angle C (m ∠C) is 40°

<h3>Calculating angles in a triangle </h3>

From the question, we are to determine the measure of angle C (m ∠C)

In any given triangle, the sum of all the angles is 180°

Thus,

In ΔABC, the angles sum up to 180°

That is,

∠A + ∠B + ∠C = 180°

From the given information,

m ∠A = 80°, m ∠B = 60°

Thus,

80° + 60° + m ∠C = 180°

140° + m ∠C = 180°

m ∠C = 180° - 140°

m ∠C = 40°

Hence, the measure of angle C (m ∠C) is 40°

Learn more on Calculating angles in a triangle here: brainly.com/question/17738179

#SPJ1

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Answer:

Step-by-step explanation:

y = 3x -6

x = -2, y = -12

x = -1, y = -9

x = 0, y = -6

x = 1, y = -3

x = 2, y = 0

x= 3, y = 3

x    -2       -1        0        1          2         3

y    -12     -9       -6       -3         0         3

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K - 5 = 12. Solve the equation
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Answer:

17 = K

Step-by-step explanation:

Add 5 to both sides to get K = 17

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3 years ago
-3x-4=-13 solve inequality plz show work!
Lady bird [3.3K]
Hello Again!

What you want to do first is add 4 to -4 and to -13. After doing so, you'll equation will look a little something like this...

-3x=9

You'll then want to divide both -3 and 9 by -3. After doing so, the equation will look like this...

x=-3

Your answer is x=-3

I hope this helps


6 0
3 years ago
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In ΔABC, which trigonometric ratio equals 32?
Nezavi [6.7K]
The given answer should be "3/2", its because "32" is not possible in anyway.. 

tan C = sin C / cos C

Where sin C = 3 / 3.61

And

cos C = 2 / 3.61

Now

tan C = (3 / 3.61) / (2 / 3.61) = (3 / 3.61) x (3.61 / 2) = 3 / 2

<span>Thus tan C is the correct choice.   </span>

6 0
3 years ago
Directions - For the following problem, write a paragraph proof to justify each step you make. All work must be neat,
nlexa [21]

$ PS = \frac{4}{3} x

Solution:

Given PRQ is a triangle.

ST is a line parallel to RQ.

$PT = x, \ PQ = 3x,  \ SR=\frac{8}{3}x

TQ=PQ-PT

TQ=3x -x=2x

<u>Triangle proportionality theorem,</u>

<em>If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.</em>

$\frac{PS}{SR} =\frac{PT}{TQ}

$\frac{PS}{\frac{8}{3} x} =\frac{x}{2x}

Do cross multiplication, we get

$ PS \times 2x=x \times \frac{8}{3} x

Divide by 2x on both sides, we get

$ PS = \frac{4}{3} x

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3 years ago
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