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3 years ago

Hurry up or ima get it wrong

Mathematics

2 answers:

ella [17]3 years ago

8 0

Angle 3 and angle 1 are vertical angles. This means that they are equal to each other. Since angle 3 is 111 degrees that means that angle 1 is also 111 degrees

Angle 2 is adjacent to angle 3. This means that their sum is 180 degrees. With this knowledge you can make a formula like so (let angle 2 be x):

111 + x = 180

x = 69

Angle 2 is 69 degrees

Angle 4 and angle 2 are adjacent. Again, this means that they are equal to each other. Angle 4 is 69 degrees

Hope this helped!

~Just a girl in love with Shawn Mendes

Nataly [62]3 years ago

4 0

Angle 1 and 3 are vertical angles, which mean they are identical. Since angle 3 is given as 111 degrees, then angle 1 is also 111 degrees.

All four angles need to equal 360.

Subtract angle 1 and 3 from 360:

360 - 111 - 111 = 138

Angle 2 and 4 would also be identical, so divide the 138 by 2:

138 / 2 = 69

Angle 2 and angle 4 are both 69 degrees.

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I need help please explain how to do these two question as I did the rest of them. I just don't understand these.

Alexxandr [17]

Answer:

7. (4x +10)/(x^3 +3x^2 -16x -48)

9. -320/93

Step-by-step explanation:

7. As with adding any fractions, first you find a common denominator. When the fractions are rational expressions, it often helps to factor the denominators.

6/(x^2 -16) -2/(x^2 -x -12) = 6/((x -4)(x +4)) -2/((x -4)(x +3))

= (6(x +3) -2(x +4))/((x -4)(x +3)(x +4)) . . . . . using a common denominator

= (6x +18 -2x -8)/((x -4)(x +3)(x +4))

= (4x +10)/((x^2 -16)(x +3))

= (4x +10)/(x^3 +3x^2 -16x -48)

_____

9. First you simplify the denominator:

2/25 -5/16 = (2·16 -5·25)/(25·16) = -93/400

Then you perform the division. This can be done by multiplying by the inverse of the denominator.

(4/5)/(2/5 -5/16) = (4/5)·(-400/93) = -320/93

6 0

3 years ago

Han buys an item with a normal price of $15.

KiRa [710]

Answer:

$1.50

Step-by-step explanation:

15*.10=1.50

4 0

3 years ago

Suppose a 90% confidence interval for the mean salary of college graduates in a town in Mississippi is given by [$38,737, $50,46

JulsSmile [24]

Answer:

a. The point estimate was of $44,600.

b. The sample size was of 16.

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

The margin of error is the difference between the two bounds, divided by 2.

a. What is the point estimate of the mean salary for all college graduates in this town?

Mean of the bounds, so:

(38737+50463)/2 = 44600.

The point estimate was of $44,600.

b. Determine the sample size used for the analysis.

First we need to find the margin of error, so:

$M = \frac{50463-38737}{2} = 5863$

Relating the margin of error with the sample size:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.9}{2} = 0.05$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.05 = 0.95$ , so Z = 1.64.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

For this problem, we have that $\sigma = 14300, M = 5863$ . So

$M = z\frac{\sigma}{\sqrt{n}}$

$5863 = 1.645\frac{14300}{\sqrt{n}}$

$5863\sqrt{n} = 1.645*14300$

$\sqrt{n} = \frac{1.645*14300}{5863}$

$(\sqrt{n})^2 = (\frac{1.645*14300}{5863})^2$

$n = 16$

The sample size was of 16.

7 0

3 years ago

PLEASE HELP

cricket20 [7]

You can use the cosine rule for this - you might have to change some of the letters around for it to make sense though. Hope this helps!

4 0

2 years ago

Jed's has $45 for the amusement park. He spent $17 for admission into the park.

77julia77 [94]

If you take the original amount 45 and subtract the admission fee 17 you get what is left over which would be 28 dollars. Good Luck and I hope that this helps!!

6 0

3 years ago

Read 2 more answers