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Ne4ueva [31]
3 years ago
10

6 Work out the sizes of the angles labelled rº, sº and tº. Plzzzz help I suck at geometry

Mathematics
1 answer:
Paha777 [63]3 years ago
5 0

Answer:

t = 30

s = 25

r = 55

Step-by-step explanation:

Let's begin by r

r is angle in quadlitral shape, so the sum of the interior angles = 360

r = 360 - (95 +100+110) = 55

Then Now it's time for  ( t )

Look at the triangle whose angles are r, 95 and t. The sum of the measures of the interior angles of triangle is 180

so t = 180 - ( 95 + r) = 180 - (95 + 55) = 30

Similarly, look at the triangle whose angles are r, s and 100

s = 180 - (100 + r) = 180 - (100 + 55) = 25

I hope you find this helpful! If you have any questions, please feel free to ask them in the comments

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The ratio of the measures of the three sides of a triangle is 1/4:1/3:1/6 and its perimeter is 31.4 centimetres find the length
lina2011 [118]

Given:

The ratio of the measures of the three sides of a triangle is \dfrac{1}{4}:\dfrac{1}{3}:\dfrac{1}{6}.

Its perimeter is 31.4 centimeters

To find:

The shortest side of the triangle.

Solution:

Let the measures of the three sides of a triangle are \dfrac{1}{4}x,\dfrac{1}{3}x,\dfrac{1}{6}x respectively (in cm).

Its perimeter is 31.4 centimeters.

\dfrac{1}{4}x+\dfrac{1}{3}x+\dfrac{1}{6}x=31.4

\dfrac{3x+4x+2x}{12}=31.4

\dfrac{9x}{12}=31.4

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On further simplification, we get

3x=4\times 31.4

3x=125.6

Divide both sides by 3.

x=\dfrac{125.6}{3}

x=41.867

Now, the sides of triangle are

\dfrac{1}{4}(41.867)=10.467

\dfrac{1}{3}(41.867)=13.956

\dfrac{1}{6}(41.867)=6.978

Therefore, the length of the shortest side is 6.978 cm.

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