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Hatshy [7]
3 years ago
12

One acute angle of a right triangle is 4 degrees larger than twice the other acute angle. what are the measures of the acute​ an

gles?
Mathematics
1 answer:
Anit [1.1K]3 years ago
5 0
You have only two variables X and Y to signify the angles
Together they must equal 90, because its a right triangle and one angle is 90
2X+4=Y
X+Y=90
Solve for Y
Y=90-X
Set the Y's equal to each other
2X+4=90-X
Isolate the X
3X=86
X=~28.66
Y=~61.34
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3 years ago
Solve for the indicated angle to the nearest tenth of a degree.<br> o<br> 18<br> 25
Sonbull [250]

Answer:

\theta=54.2^\circ

Step-by-step explanation:

<u>Right Triangles</u>

The ratios of the sides of a right triangle are called trigonometric ratios.  Each acute angle has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

The tangent ratio is defined as:

\displaystyle \tan\theta=\frac{\text{opposite side}}{\text{adjacent side}}

The opposite side is 25 and the adjacent side is 18, thus:

\displaystyle \tan\theta=\frac{25}{18}=1.389

The angle is calculated by using the inverse tangent function:

\theta=\arctan 1.389

\boxed{\theta=54.2^\circ}

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3 years ago
Which equation represents a line that passes through (4, 1/3) and has a slope of 3/4
Ipatiy [6.2K]
Y = mx + b
m = slope of the line
b= y-intercept

Since you are given the point (4,1/3), the y-value is 1/3.
So plug in the numbers and solve for b:
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After you solve the equation for b, you should get -2 2/3 or -8/3

No rewrite the equation with the y-intercept, b.

y = (3/4 x) - (8/3)
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