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Alik [6]
3 years ago
9

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! :)

<u>Answer:</u>

The answer is <u>D. 83°</u>


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 = <u>15x</u>

12 + 55 + 23 = <u>90</u>

15x <u>+ 90</u> = 180

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

<u>15</u>x = 90

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

<u>x = 6</u>


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

<u>10(6)</u> + 23

Multiply 10 by 6 → 10 × 6 = 60

<u>60 + 23</u>

Add 60 and 23 together → 60 + 23 = 83

<u>83</u> = 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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Step-by-step explanation:

15 + 12 + x = 40

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Use the empirical rule to solve the problem. The annual precipitation for one city is normally distributed with a mean of 288 in
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Answer:

z=-1.99

z=1.99

And if we solve for a we got

a=288 -1.99*3.7=214.4

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Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the annual precipitation of a population, and for this case we know the distribution for X is given by:

X \sim N(288,3.7)  

Where \mu=288 and \sigma=3.7

The confidence level is 95.44 and the signficance is 1-0.9544=0.0456 and the value of \alpha/2 =0.0228. And the critical value for this case is z = \pm 1.99

Using this condition we can find the limits

z=-1.99

z=1.99

And if we solve for a we got

a=288 -1.99*3.7=214.4

a=288 +1.99*3.7=295.4

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Two friends are hiking in Death Valley National Park. Their elevation ranges from 228 ft below sea level at
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Answer:

x - 231 ≤ 459

Step-by-step explanation:

Given:

Elevation ranges below sea level  = 228 ft

Elevation ranges above sea level  = 690 ft

Elevation = x

Computation:

Ideal range = [690-228] / 2 = 231

Tolerance range = [690+228] / 2 = 459

So,

x - 231 ≤ 459

6 0
3 years ago
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