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3 years ago

How to find the measure of a triangle?

Mathematics

2 answers:

gulaghasi [49]3 years ago

8 0

Is it 1/2×b×h
to find the area
or
base×height

AleksAgata [21]3 years ago

6 0

Hi there! :)

Answer:

The answer is D. 83°

Step-by-step explanation:

You should know that the interior angles of a triangle always add up to 180°.

So, what you will need to do, is add all 3 angles together and create an equation (equal to 180). Then you need to solve this equation by isolating "x":

(8x + 12) + (55 - 3x) + (10x + 23) = 180

Get rid of all the parentheses

8x + 12 + 55 - 3x + 10x + 23 = 180

Add all similar terms together

8x - 3x + 10x = 15x

12 + 55 + 23 = 90

15x + 90 = 180

Subtract "90" from each side of the equation → 180 - 90 = 90

15x = 90

Divide each side of the equation by "15" → 90 ÷ 15 = 6

x = 6

Since you now know that the value of "x" is 6, you can now find the measure of the angle at George's position by replacing the "x" by 6:

10x + 23 = Measure of the angle at George's position

10(6) + 23

Multiply 10 by 6 → 10 × 6 = 60

60 + 23

Add 60 and 23 together → 60 + 23 = 83

83 = Measure of the angle at George's position

There you go! I really hope this helped, if there's anything just let me know! :)

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Answer:

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Read 2 more answers

Write a linear equation representing the information shown in the table.

Law Incorporation [45]

Answer:

Step-by-step explanation:

This is how I write

y=kx+m

but I have seen some write it like this:

y=mx+b

Well both of them are the same thing, I'll use the first one because I'm more comfortable with it.

y=kx+m

To find out what k

$k = \frac{y2 - y1}{x2 - x1}$

So you first need to choose two points.

I'll go for (0,-5) and (2,0)

$k = \frac{0 - 5}{2 - 0}$

$k = \frac{ - 5}{2}$

Now you could insert k into the equation and it will look like this.

$y = \frac{ - 5}{2}x + m$

To find out what m is just pick one point and insert it into the equation. So if I pick (0,-5). 0=X therefore it should be replaced by x and -5=y therefore it should also be replaced by y.

$- 5 = \frac{ - 5}{2} \times 0 + m$