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VLD [36.1K]
2 years ago
11

Solve for the value of C

Mathematics
2 answers:
erica [24]2 years ago
5 0

Answer:

<h2><u><em>c = 50°</em></u></h2>

Step-by-step explanation:

Opposite angles = congruent

so

97 = 2c - 3

100 = 2c

c = 100 : 2

c = 50°

--------------------------------

check

97 = 2 * 50 - 3

97 = 97

the answer is good

Helga [31]2 years ago
4 0

Answer:

c = 50

Step-by-step explanation:

We can set up an equation using the vertical angles theorem.

97 = 2c-3

100 = 2c

c = 50

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A surveyor, Toby, measures the distance between two landmarks and the point where he stands. He also measured the angles between
vagabundo [1.1K]
What we know so far:
Side 1 = 55m
Side 2 = 65m
Angle 1 = 40°
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What we are looking for:
Toby's Angle = ?
The distance x = ?

We need to look for Toby's angle so that we can solve for the distance x by assuming that the whole figure is a SAS (Side Angle Side) triangle.

Solving for Toby's Angle:
We know for a fact that the sum of all the angles of a triangle is 180°; therefore,
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Toby's Angle = 110°

Since we already have Toby's angle, we can now solve for the distance x by using the law of cosines r² = p²+ q²<span>− 2pq cos R where r is x, p is Side1, q is Side2, and R is Toby's Angle.
</span>
x² = Side1² + Side2² - 2[(Side1)(Side2)] cos(Toby's Angle)
x² = 55² + 65² - 2[(55)(65)] cos(110°)
x² = 3025 + 4225 -7150[cos(110°)]
x² = 7250 - 2445.44
x = √4804.56
x = 69.31m

∴The distance, x, between two landmarks is 69.31m
8 0
3 years ago
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4 0
3 years ago
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Answer:

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Step-by-step explanation:

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2 years ago
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MrRa [10]

Answer:

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Solution

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3 0
3 years ago
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