Find the equation of the linear function represented by the table below in slope-intercept form.

PLZ HELP ASAP!!

Lilit [14]

The measure of first angle is 34 degrees and measure of second angle is 56 degrees

Solution:

Given that, the exterior sides of two adjacent angles make a right angle

Therefore, these adjacent angles forms 90 degrees

Let the second angle be "x"

The first angle has a measure that is six more than half the second

Therefore,

first angle = 6 + half of "x"

$\text{ first angle } = 6 + \frac{x}{2}$

Since these two angles forms 90 degrees,

first angle + second angle = 90

$x + 6 + \frac{x}{2} = 90\\\\\frac{2x + 12 + x}{2} = 90\\\\2x + 12+x = 180\\\\3x + 12 = 180\\\\3x = 180 - 12\\\\3x = 168\\\\x = 56$

Therefore, first angle is:

$\rightarrow 6 + \frac{56}{2} = 6 + 28 = 34$

Thus measure of first angle is 34 degrees and measure of second angle is 56 degrees

6 0

3 years ago

I dont under stand these?

Alexeev081 [22]

The first one means what is the smallest number that goes into 12 which would be 4. The second one mean what does not go into 4 and 6 so that would be 8 because 6 is not a multiple of 8.The third one is either 1 or 2 not sure. And the 4th one is little complicated you might want to look up video on prime factorization that can really help you .

8 0

4 years ago

Ok how is every ones day ok what is 12345 times 23456=

lutik1710 [3]

The answer is 289,564,320. Have a nice day and Happy Holidays

8 0

3 years ago

What is the solution to the following system? x+y+z=6 x-y+z=8 x+y-z=0

Ghella [55]

I don't really know if this is correct but I think it is x+y+z=14

4 0

3 years ago

Read 2 more answers

Medicare would like to test the hypothesis that the average monthly rate for one-bedroom assisted-living facility is equal to $3

aliina [53]

Answer:

C) more than the absolute value of the critical value, we can conclude that the average monthly rate for an assisted-living facility is not equal to $3,300.

Step-by-step explanation:

Hello!

Interest hypothesizes is " the average monthly rate for one-bedroom assisted-living facility is equal to $3300" symbolically: μ = 3300

The study variable is:

X: Monthly rate for a one-bedroom assisted-living facility.

Since there is no information about the distribution of the variable, to be able to study the population mean, I'll assume that the variable has a normal distribution.

The hypothesis is:

H₀: μ = 3300

H₁: μ ≠ 3300

α: 0.05

The statistic to use, considering that there is no known population information and the sample size, is a Student t:

t= X[bar] - μ ~ $t_{n-1}$

S/√n

n= 12

X[bar]= $3690

S= $530

Using the sample data, calculate the statistic value:

t= 3690 - 3300 = 2.549

530/√12

The rejection region for this test is two-tailed, with critical values:

$t_{n-1; \alpha /2} = t_{11; 0.025} = -2.201$

$t_{n-1;1-\alpha /2} = t_{11; 0.975} = 2.201$

The decision rule is:

Reject the null hypothesis if t ≤ -2.201 or if t ≥ 2.201

Not reject the null hypothesis if -2.201 < t < 2.201

Since the calculated value (2.549) is greater than the right critical value (2.201) the decision is to reject the null hypothesis.

With a signification level of 5%, there is enough evidence to reject the null hypothesis. This means that the population mean of the monthly rate for a one-bedroom assisted living facility is different from $3300.

I hope it helps!

7 0

3 years ago