All categories

3 years ago

Two angles are supplementary. One angle measures 26o more than the other. Find the measure of the two angles.

1 answer:

3 0

Supplementary angles are angles whose sum is equal to 180°.

Let one angle be x
The other angle is said to be 26°more than the other so it is x + 26

x + (x+26) = 180
x + x + 26 = 180
2x = 180 - 26
2x = 154
x = 154/2
x = 77

1st angle, x, is equal to 77°
2nd angle, x + 26°, is 77° + 26° = 103°

77° + 103° = 180°
180° = 180°

You might be interested in

An automobile club reported that the average price of regular gasoline in a certain state was $2.61 per gallon. The following d

laila [671]

Answer:

$2.618-2.98\frac{0.078}{\sqrt{15}}=2.56$

$2.618+2.98\frac{0.078}{\sqrt{15}}=2.68$

So on this case the 99% confidence interval would be given by (2.56;2.68)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the mean and the sample deviation we can use the following formulas:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (2)

$s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}$ (3)

The mean calculated for this case is $\bar X=2.618$

The sample deviation calculated $s=0.078$

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=15-1=14$

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,14)".And we see that $t_{\alpha/2}=2.98$

Now we have everything in order to replace into formula (1):

$2.618-2.98\frac{0.078}{\sqrt{15}}=2.56$

$2.618+2.98\frac{0.078}{\sqrt{15}}=2.68$

So on this case the 99% confidence interval would be given by (2.56;2.68)

5 0

3 years ago

Maya is on her way home in her car. She has driven 12 miles so far, which is one-third of the way home. What is the total length

Viktor [21]

Answer:

Step-by-step explanation: you would do 12 x 3= 36

7 0

3 years ago

Read 2 more answers

PLEASE ANSWERRR!!!!!!

Fantom [35]

Answer:

Step-by-step explanation:

A function cannot have multiple y values for one x value.

Option A lists the y values of -8 and 10 for the x value of -4. Therefore this is not a function.

Option B lists 0, 5, 10, AND 15 all for -1. This can't be a function either.

Option C does not have two of the same x values for different results. Although both 0 and 9 give you the answer of 1 for the y value, this is perfectly okay in a function. This is your answer.

8 0

3 years ago

Identify an acute angle and give its measure.

melamori03 [73]

Answer:

k&F 20 degrees

Step-by-step explanation:

hope it helps

6 0

1 year ago

Read 2 more answers

Suppose Lin labels the books at a constant speed of s books per minute. There can be several equations written that represent th