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Salsk061 [2.6K]
3 years ago
15

What is the value of x?​

Mathematics
1 answer:
pashok25 [27]3 years ago
3 0

Answer:x = 121 degrees

Step-by-step explanation:

X is 121 degrees because it is a same side interior angle to the 59 degree angle. 180-59 = 121.

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A study was done to investigate the relationship between a between eating sugary snacks and a test that measures a
tia_tia [17]

Answer:

Each additional sugary snack eaten is associated with a loss of five points on the test.

Step-by-step explanation:

6 0
3 years ago
Amtrak s annual passenger revenue for the years 1980 2000 is modeled approximately by the formula R = -40 |x - 11| + 990 where R
Alecsey [184]

Answer:

<h2>1986, 1996</h2>

Step-by-step explanation:

       Given, Annual passenger revenue for the years 1980 to 2000 id=s modeled with the formula R=-40|x-11|+990.

Here, R is the annual revenue in millions of dollars, x is the number of years since January 1, 1980.

       Revenue in a year was $ 790 million.

So, R=790\\-40|x-11|+990=790\\40|x-11|=200\\|x-11|=5\\x-11=5\text{ (or) }x-11=-5\\x=16\text{ (or) }x=6

       So, after 6 yrs and 16 yrs from January 1, 1980, the Passenger revenue equals $ 790 million.

∴ Passenger revenue equals $ 790 million in 1986 and 1996.

3 0
3 years ago
A random sample of 17 hotels in Boston had an average nightly room rate of $165.40 with a sample standard deviation of $21.70. T
Citrus2011 [14]

Answer:

•Lower confidence limit = $155.2109

•Upper confidence limit ,= $174.5891

Step-by-step explanation:

We are given:

U = 17

x' = $165.40

S.d = $21.70

a = 10℅ (90℅ confidence interval)

For s.d(x'), we have:

S/√u = \frac{21}{\sqrt{7}}

= 5.2630

Therefore, S.E (x') = $5.2630

At a= 0.10 (90℅ confidence level)

and degree of freedom = 16 (17-1)

Thus, t_1_6_, _0_._1_0 = 1.746

90℅ confidence interval all around sample mean, will be:

(x' ± t_(_n_-_1); a S.E (x')

= (165.4±(174.6)(5.2630)

(165.5±9.189)

($156.2109, $175.5891)

5 0
3 years ago
Read 2 more answers
Find slope intercept form of 5x+8y=120 passing through (4,5)
yarga [219]

Answer:

y=-(5/8)x+(15/2)  or  y=-0.625x+7.5

Step-by-step explanation:

The question is

Find the slope intercept form of the line parallel to the line 5x+8y=120 passing through (4,5)

step 1

Find the slope of the given line

we have

5x+8y=120

isolate the variable y

8y=-5x+120

y=-(5/8)x+15

The slope of the given line is m=-5/8

step 2

Find the slope of the line parallel to the given line

we know that

If two lines are parallel, then their slopes are the same

so

The slope of the parallel line to given line is m=-5/8

step 3

Find the equation of the line into slope intercept form

The equation of the line into slope intercept form is equal to

y=mx+b

we have

m=-5/8 and point (4,5)

substitute and solve for b

5=-(5/8)(4)+b

b=5+(20/8)

b=60/8=15/2=7.5

substitute

y=-(5/8)x+(15/2)

or

y=-0.625x+7.5

5 0
4 years ago
A diagnal is drawn on a square. How many triangles are formed ? What is the sum of the measures of the angles of a triangle? wha
Alik [6]
  • 2 triangles are formed.
  • The sum of the measures of the angles of a triangle is 180 degrees.
  • The sum of the measures of the angles of a square is 360 degrees.

8 0
2 years ago
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