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Anastasy [175]
3 years ago
6

What is the measure of angle c

Mathematics
2 answers:
drek231 [11]3 years ago
8 0

Answer:

C. 70^{\circ}

Step-by-step explanation:

We have been given an image of a triangle and we re asked to find the measure of angle C.

Angle sum property of triangles states that all angles of a triangle add up-to 180 degrees, so we can set an equation as:

m\angle A+m\angle B+m\angle C=180^{\circ}

Upon substituting the given measure of angle A and B in our equation we will get,

70^{\circ}+40^{\circ}+m\angle C=180^{\circ}

110^{\circ}+m\angle C=180^{\circ}

110^{\circ}-110^{\circ}+m\angle C=180^{\circ}-110^{\circ}

m\angle C=70^{\circ}

Therefore, the measure of angle C is 70 degrees and option C is the correct choice.

NNADVOKAT [17]3 years ago
6 0
C is the correct answer because triangles always equal to 180 degrees

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Use the Law of Sines to solve the triangle. (Let b = 47.7 yd. Round your answers for a and c to two decimal places.)
klio [65]

Answer:

C = 68.667°

a = 123.31 yd.

c = 114.90 yd.

Step-by-step explanation:

The missing image for the question is attached to this solution.

In the missing image, a triangle AB is given with angles A and B given to be 88° 35' and 22° 45' respectively

We are them told to find angle C and side a and c given that side b = 47.7 yd.

A = 88° 35' = 88° + (35/60)° = 88.583°

B = 22° 45' = 22° + (45/60)° = 22.75°

The sum of angles in a triangle = 180°

A + B + C = 180°

C = 180° - (A + B) = 180° - (88.583° + 22.75°) = 68.667°

The sine law is given as

(a/sin A) = (b/sin B) = (c/sin C)

Using the first two terms of the sine law

(a/sin A) = (b/sin B)

a = ?

A = 88.583°

b = 47.7 yd.

B = 22.75°

(a/sin 88.583°) = (47.7/sin 22.75°)

a = (47.7 × sin 88.583°) ÷ sin 22.75°

a = 123.31 yd.

Using the last two terms of the sine law

(b/sin B) = (c/sin C)

b = 47.7 yd.

B = 22.75°

c = ?

C = 68.667°

(47.7/sin 22.75°) = (c/sin 68.667°)

c = (47.7 × sin 68.667°) ÷ sin 22.75°

c = 114.90 yd.

Hope this Helps!!!

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3 years ago
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Answer:

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Step-by-step explanation:

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Given:

y=-5(x-5)+1

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We can set values of x and then solve for y.

Let us find the values of y when x = 1, 2, 3, 4, 5

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We now have a set of points:

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Since the given plane is limited to values of 10 and -10, the points that we can plot are the points (4, 6) and (5, 1)

The graph would then look like this:

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