Two angles measure 82° and 62°. What is the measure of the thrid angle?

Mathematics

2 answers:

Pepsi [2]3 years ago

6 0

X = third angle

82° + 62° + x = 180°

144° + x = 180°

x = 36°

Kay [80]3 years ago

5 0

82 so what your going to do is subtract 82 from 62 thats how you find the third angle

_____

You might be interested in

FIND THE VALUE OF X

Crazy boy [7]

Answer:

By using the rule that the interior angles of any triangle equal 180 we see that:

m<ABC+m<CAB+m<ACB=180°

Therefore,

(2x+15)+(x+10)+(3x+5) = 180°

Now we have an equation and can solve for x:

Combine like terms:

(2x+15)+(x+10)+(3x+5) = 180°

6x+30=180°

6x+30-30=180-30

6x=150

x=25

To check our work just plug in 25 for x in each equation and the sum of those answers should add up to 180:

2x+15

2(25)+15

x+10

25+10

3x+5

3(25)+5

75+5

65+35+80=180

x=25 is valid

Step-by-step explanation:

7 0

3 years ago

Assume that we want to construct a confidence interval. Do one of the following, as appropriate:_________.

andreyandreev [35.5K]

Answer:

B. z Subscript alpha divided by 2 zα/2 = 1.96.

Step-by-step explanation:

We are given that we want to construct a confidence interval. For this, the summary statistics for randomly selected weights of newborn girls:

n = 236, $\bar x$ = 30.3 hg, s = 7.2 hg. The confidence level is 95%.

As we can clearly see here that the population standard deviation is unknown and the sample size is also very large.

It has been stated that when the population standard deviation is unknown, we should use t-distribution but since the sample size is very large so we can use z distribution also as it is stated that at very large samples; the t-distribution corresponds to the z-distribution.

Here, $\alpha$ = level of significance = 1 - 0.95 = 0.05 or 5%