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Lerok [7]
3 years ago
13

Examine triangle ABC. What is the value of x? 37 48 127 138

Mathematics
1 answer:
Flura [38]3 years ago
4 0

The outside angle of B needs to equal 180 - 79 = 101 degrees.

The 3 outside angles of a triangle need to equal 360 degrees.

Set up the equation with what we know:

X + (x+5) + 101 = 360

Simplify:

2x + 106 = 360

Subtract 106 from both sides:

2x = 254

Divide both sides by 2:

x = 254 / 2

x = 127

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Answer:

24.8

Step-by-step explanation:

We will have to use trigonometry here to find the value of x. The first thing we can see is that we need to work out the hypotenuse. We need to chose whether to use Sin, Cos or Tan. We do that by look at the sides .

→ 'x' is the hypotenuse

→ 12 is opposite

→ The adjacent is the side that doesn't have a numerical value to we look for a formula triangle without adjacent in it

Tan = Opposite ÷ Adjacent

Sin = Opposite ÷ Hypotenuse

Cos = Adjacent ÷ Hypotenuse

We can see the Sin formula has no adjacent in it so we use that formula. However we want to work out the hypotenuse so we have to rearrange the sin formula to get hypotenuse as the subject so

Sin = Opposite ÷ Hypotenuse

Hypotenuse = Opposite ÷ Sin

→ Let's substitute in the values

Hypotenuse = 12 ÷ Sin(29)

Hypotenuse = 24.7519841

So the value of x is 24.8 to 1 decimal place

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the answer b

Step-by-step explanation:

[surface area]=[area of 4 triangles sides]+[area of square base]

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