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Semmy [17]
2 years ago
11

The diagram shows a right-angled triangle.

Mathematics
1 answer:
amm18122 years ago
4 0

The length of the hypotenuse and the opposite side to angle<em> </em><em>x</em> of the right triangle are 8 cm and 3 cm respectively, which gives angle <em>x </em>as approximately 22.0°

<h3>Which of the trigonometric ratios can be used to find x°?</h3>

A description of the parts of the triangle are;

Length of the hypotenuse side = 8 cm

Length of the opposite side to <em>x°</em><em> </em>= 3 cm

The trigonometric ratio of the sine of x° is presented as follows;

sin(x) =  \frac{Opposite}{Hypotenuse}

Therefore;

sin(x) =  \frac{3}{8}

Which gives;

{x}^{ \circ}  = arcsine \left( \frac{3}{8}  \right)  \approx  {22.0}^{ \circ}

  • Angle<em> </em><em>x </em>≈ 22.0°

Learn more about trigonometric ratios of the cosine, sines, and tangent of angles here:

brainly.com/question/12172664

#SPJ1

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4 years ago
What is m&lt;efh =(5×+1)°,m&lt;hfg =62° and m &lt;efg = (18×+11)°, find each measure.​
Naddik [55]

Answer:

m\angle efg=21\°\\\\m\angle hfg=62\°\\\\m\angle efg=83\°

Step-by-step explanation:

Given:

m\angle efh=5x+1\\m\angle hfg=62\\m\angle efg=18x+11

Now, from the figure shown below,

The sum of angle efh and angle hfg is equal to the angle efg. This is true because of the angle addition postulate which states that when two angles are formed with the same vertex and different sides, then their sum is equal to the total angle made by both the sides at the vertex.

Here, point 'f' is the vertex and the sides are 'ef and 'fg'.

Therefore,

m\angle efh+m\angle hfg=m\angle efg

Plug in their values and solve for 'x'. This gives,

5x+1+62=18x+11\\5x+63=18x+11\\18x-5x=63-11\\13x=52\\x=\frac{52}{13}=4

Therefore, the angle measure of each are:

m\angle efg=5x+1=5(4)+1=20+1=21\°\\\\m\angle hfg=62\°\\\\m\angle efg=18x+11=18(4)+11=72+11=83\°

6 0
4 years ago
one triangle has angles that measure 45 degree and 83 degree. what is the measure of the other angle?
jeka57 [31]

Answer:

52 degrees

Step-by-step explanation:

Every triangles angles sum up to 180 degrees

83+45=128

180-128=52 degrees

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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