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Bogdan [553]
4 years ago
14

In triangle ABC, m angle A = 43 and m angle C = 66, what is m angle B?

Mathematics
1 answer:
NeX [460]4 years ago
8 0
A triangles interior angles sum is always 180°. So we need to find B. To do that we will add the angles we have, then subtract to find angle B:-

43 + 66 = 109

180 - 109 = 71

Check:- 

43 + 66 + 71 =  180

SO, angle B is 71°.

Hope I helped ya!!!!!!!!!!!!☺☺☺


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Find the distance between the two points rounding to the nearest tenth (if necessary).
Genrish500 [490]

Answer:

13 units

Step-by-step explanation:

(-1,5) and (4, -7)

To find the distance of two points, we use the distance formula:

d = \sqrt{(x_{2}-x_1)^2 + (y_2-y_1)^2 }

Let's plug in what we know.

d = \sqrt{(4 - (-1))^2 + (-7 - 5)^2 }

Evaluate the double negative.

d = \sqrt{(4 +1))^2 + (-7 - 5)^2 }

Evaluate the parentheses.

d = \sqrt{(5)^2 + (-12)^2 }

Evaluate the exponents.

d = \sqrt{(25) + (144) }

Add.

d = \sqrt{(169) }

Evaluate the square root.

d = 13

13 units

Hope this helps!

4 0
3 years ago
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A cube numbered from 1 through 6 is rolled 300 times. The number 6 lands face up on the cube 33 times. What is the experimental
Bond [772]
Number of times rolled = 300 
Number of times landed with 6 = 33
<span>Experimental probability = 33/300 = 11/100
</span>
Answer: 11/100
8 0
3 years ago
Suppose a certain species of fawns between 1 and 5 months old have a body weight that is approximately normally distributed with
worty [1.4K]

Answer:

z

Step-by-step explanation:

Assuming this complete question:

"Suppose a certain species of fawns between 1 and 5 months old have a body weight that is approximately normally distributed with mean \mu =26 kilograms and standard deviation \sigma=4.2 kilograms. Let x be the weight of a fawn in kilograms. Convert the following z interval to a x interval.

X"

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 weights of a population, and for this case we know the distribution for X is given by:

X \sim N(26,4.2)  

Where \mu=26 and \sigma=4.2

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

We know that the Z scale and the normal distribution are equivalent since the Z scales is a linear transformation of the normal distribution.

We can convert the corresponding z score for x=42.6 like this:

z=\frac{42.6-26}{4.2}=3.95

So then the corresponding z scale would be:

z

7 0
3 years ago
I NEED HELP CROWN FOR RIGHT ANSWER
natta225 [31]

Answer:

D. $81,728

Step-by-step explanation:

Let's first convert pounds to ounces.

4 pounds x (16 ounces / pound) = <u>64 ounces.</u> (Remember that when we're converting from a larger unit, pounds, to a smaller one, ounces, we'll have more ounces than pounds, so this answer makes sense!)

Let's now get the cost of the gold.

64 oz x ($1277 / oz) = <u>$81,728.</u> (Wow, that's a lot of gold!)

5 0
3 years ago
Need help with this question​
Y_Kistochka [10]

Now if the lemonade is 1.50 he can only buy two because the total amount is 8.30 so it will be 3.00 and the amount left will be 5.00 and you can only buy one cupcake so you will buy two lemonades one cupcake

3 0
3 years ago
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