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fiasKO [112]
3 years ago
13

One angle is four times as large as a second angle of the angles are supplementary find the number of degrees in the smaller ang

le
Mathematics
1 answer:
seropon [69]3 years ago
6 0

let x=smaller angle

 

larger angle=4x

x+4x=180

5x=180

x=180/5

x=36

smaller angle=36º

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Use proportion to find the answer.
prisoha [69]

<u>Answer</u>

\boxed {64}


<u>Detailed Explanation </u>

Let's set up a proportion.


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Now that we have set up a proportion we would need to cross multiply.

3*x=3x

40*4.8= 192


Solve for x

3x=192


\frac{192}{3} = 64


Therefore, the answer would be 64.


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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
-3(2y+4) is greater that equal to 12-4y<br>​
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Answer:

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Step-by-step explanation:

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Answer:

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3 0
3 years ago
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°
Angle 2 = 30°

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,
180° - (Side 1 + Side 2) = Toby's Angle
Toby's Angle  = 180° - (40° + 30°)
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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