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almond37 [142]
3 years ago
9

What are the value of x, y, and z, respectively?

Mathematics
2 answers:
EleoNora [17]3 years ago
8 0

Answer:

y = 107 x = 73 and z = 73 degrees

Step-by-step explanation:

All of the angles have to equal 360 when added together and y has to correspond to 107 then those add to 214 then you subtract that from 360 to get 146 then you split that in half to get the x and z

VLD [36.1K]3 years ago
4 0

Answer:

x = 73, y = 107, z = 73

Step-by-step explanation:

y has a vertical angle so y = 107°

z° and x° are also vertical angles so z° = x°

To find z and x find the angle adjacent to 107°

180° - 107° = 73°

x = 73, z = 73

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Is -2.74 a rational number?
Zinaida [17]
Yes, i<span>n mathematics, a </span>rational number<span> is any </span>number<span>that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.</span>
5 0
3 years ago
Read 2 more answers
write the equation of the line that passes through the given points (0,-1) and (-5,-7) Simplify your answer
USPshnik [31]

Answer:

y = 6/5 x-1  slope intercept form

6x-5y = 5  standard form

Step-by-step explanation:

We have the points  (0,-1) and (-5,-7)

We can find the slope using

m = (y2-y1)/(x2-x1)

 = (-7--1)/(-5-0)

 = (-7+1)/(-5-0)

 = -6/-5

 = 6/5

We also have the y intercept ( when x=0)  It is -1

We can use the slope intercept form of the equation y = mx+b

y = 6/5 x-1

Depending on what you mean when you say simplify your answer

We can put it in standard form  ax+by = C

Multiply both sides by 5

5y =5* 6/5 x-1*5

5y = 6x-5

Subtract 6x from each side

-6x+5y = 6x-6x-5

-6x+5y = -5

Multiply by -1

6x-5y = 5

4 0
3 years ago
If a position on the ocean floor is 12 kilometers below the sea level, which value describes the elevation of the ocean floor
LenKa [72]

Answer:

- 12

Step-by-step explanation:

The sea level serves as a reference point and may be used to describe objacetsvir positions above or below it. Therefore, the sea level is regarded as a zero point or level. Hence, objects below are describes to be at a negative distance while those above are assigned the positive sign. Hence, for a position which is 12 km below sea level, then the object is said to be at a distance of - 12 km (below sea level takes the negative sign.)

4 0
2 years ago
A researcher claims that the average annual salary of part-time community college instructors is at least $45,000. To test this
Doss [256]

Answer:

See explanation

Step-by-step explanation:

Solution:-

- The researcher claims :

" the average annual salary of part-time community college instructors is at least $45,000 "

- We will extract the claim made by the researcher to be the Null hypothesis:

                     Null Hypothesis : μ ≥ $45,000

- Any statement otherwise, or point of rejection criteria will denote the Alternate hypothesis that disbands the claim that:

" the average annual salary of part-time community college instructors is less than $45,000 " :

                    Alternate Hypothesis : μ < $45,000

- This type of test with a sample size of n = 25 < 30 and population standard deviation is also not given hints the use t-test statistics and t-critical value reject the claim.

                     Lower tail - one sample - T-test.

6 0
3 years ago
Jay wrote an equation to determine sales tax on an item he wanted to buy. The equation was Y equals 0.0 9X, where Y represents t
mixas84 [53]

Step-by-step explanation:

Given the equation:

y = 0.09x where:

  • x: represents the cost of the item before tax is added.
  • y: represents the amount of sales

=> On a coordinate plane, the x-axis is labeled Cost of Item (in dollars) and the y-axis is labeled sales tax (in dollars)

We create a table of values

x    y

0   0

10  0.9

=> the line go through two points (0, 0) and (10, 0.9)

Hence tow dwaw a graph, we just connect two points together.

Please have a look at the attached photo.

7 0
3 years ago
Read 2 more answers
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