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Alina [70]
3 years ago
13

Two angles are vertical angles. One angle is ( 8x + 15 ) and the other angle is 143. Solve for x.

Mathematics
1 answer:
sineoko [7]3 years ago
5 0

Answer:

x = 16

Step-by-step explanation:

Verticle angles are always congruent, so:

(8x + 15) = 143

Now, we can solve to isolate x:

8x + 15 - 15 = 143 - 15  (subtract 15 from both sides)

8x/8 = 128/8                (divide both sides by 8)

x = 16

You can always plug in the value of x to the original equation to check your answer:

8(16) + 15 = 143

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The Robotics Manufacturing Company operates an equipment repair business where emergency jobs arrive randomly at the rate of thr
cluponka [151]

Answer:

The correct answer is:

  • \lambda=0.375 \ jobs \ per \ hour
  • \mu=0.5 \ jobs \ per \ hour

Step-by-step explanation:

The given values are:

Service time varies,

Repair time = 2 hours

Standard deviation = 1.5 hours

Robotics uses per hour cost,

= $35

Company's cost per hour,

= $28

(a)

⇒ Arrival rate = Jobs per hours

then,

                       = \frac{8 \ hours}{3 \ jobs}

                       = 2.666 \ hours \ per \ job

The jobs per hour will be:

⇒  \lambda=\frac{1}{2.666}

       =0.375

(b)

⇒ Service rate = jobs per hour

then,

                      μ = \frac{1 \ repair \ job}{2 \ hours}

                         = 0.5 \ jobs

7 0
3 years ago
A 3 foot wide painting should be centered on 13 foot wide wall how many feet should be on each side of the painting
VLD [36.1K]

Answer:

5 feet of wall should be on each side of the painting.

Step-by-step explanation:

Given that a 3 foot wide painting should be centered on 13 foot wide wall, to determine how many feet should be on each side of the painting, the following calculations must be performed:

(13 - 3) / 2 = X

10/2 = X

5 = X

Therefore, 5 feet of wall should be on each side of the painting.

5 0
3 years ago
Are all sides of the right angle have sides that are parallel
nydimaria [60]

-- The two sides of a right <u>angle</u> intersect and make the angle.
So do the sides of any other angle. So they can't be parallel.

-- No two sides of a right <u>triangle</u> ... or any other triangle ...can be parallel.


8 0
3 years ago
Write a decimal where the value of a digit is one tenth as much as a digit in another place
uysha [10]
Jabshudoa wvduoslabdu9sbwbd
4 0
3 years ago
Val rented a bicycle while she was on vacation she paid a flat rental fee of $55.00 plus $8.50 EACH day the total cost was $123
Tom [10]

Answer:

14 days approximately or 14.47 to be exact

Step-by-step explanation:

Let the number of days be x

Val paid $123 for x days for renting a bicycle where as $8.50 was rent of bicycle per day so dividing $123/8.50 gives us number of days

which are 14.47 days.

$55 amount is ambiguous that whether it was flat ( as in apartment) rental fee or what?

3 0
3 years ago
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