1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ZanzabumX [31]
3 years ago
15

(SAT Prep) Find the value of x in each of the following exercises:

Mathematics
1 answer:
vladimir2022 [97]3 years ago
5 0

Answer:

x=115^o

Step-by-step explanation:

Angles Inside a Polygon

A polygon of n sides must have the sum of its internal angles  

S=180^o(n-2)

The polygon shown in the figure has n=5 sides, so the sum of its internal angles is

S=180^o(5-2)=540^o

The construction of the internal angles of the polygon is shown in the image below. The sum of them is

50+180-x+180-x+360-x+x=540

Reducing

-2x+770=540

Solving

\displaystyle x=\frac{770-540}{2}

\boxed{x=115^o}

You might be interested in
The French club is holding a car wash fundraiser. They are going to charge $10 per car, and expect between 50 and 75 cars. Ident
Marina CMI [18]

It is given in the question that,

The French club is holding a car wash fundraiser. They are going to charge $10 per car, and expect between 50 and 75 cars.

The cost depends on the number of cars washed .

So number of cars is the independent quantity and cost is the dependent quantity .

And here, let, y represents the cost and let x represents the number of cars.

y= 10x

So the domain is 50 to 75 cars.

And when x=50 and 75, value of y is

y=10*50 , y=10*75
\\
y= 500, y=750

And the range is $500 to $750 .

So the correct option is B

6 0
3 years ago
Read 2 more answers
the mass of a grain of sand is about 10 to the power of negative three grams. about how many grains of sand are in the bag of sa
777dan777 [17]

We are given : The mass of a grain of sand = 10^{-3} grams.

Bag contains = 10 kilograms of sand.

Let us concert 10 kg into grams first.

1 kg = 1000 grams.

10 kg = 10 × 1000 = 10000 grams = 10^4.

Therefore, bag contains 10^4 grams of sand.

Therefore, number of grains of sand are in the bag of sand of 10^4 grams =

The mass of a grain of sand in grams ÷ The mass of a grain of sand.

\frac{10^4}{10^{-3}}

=10^{4-(-3)}

=10^{4+3}

=10^7  \ grains \ of \ sand.

Therefore, 10^7 grains of sand are in the bag of 10kg sand.

8 0
3 years ago
Ghvvfehdbbeeweikwdnff<br>​
JulsSmile [24]

dhsjxnkansnzlndsjxnnz

3 0
3 years ago
Read 2 more answers
Determine whether (8,5 a solution of the equation y=15x-14)
Nonamiya [84]

Answer:

no, It isnt

Step-by-step explanation:

5 0
3 years ago
Find the discount on a $75 pair of shoes on sale for 35% off.
Nezavi [6.7K]

Answer:

100 - 35 = 65

75/100 X 65 = $48.75

6 0
3 years ago
Read 2 more answers
Other questions:
  • Pants $80 buy one at regular pric. Get a second one for half price. (How much for 2 pair?)
    13·1 answer
  • A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed, t
    9·1 answer
  • What is 8.562 round to the nests thousand?
    13·2 answers
  • Daniel collects baseball cards and keeps them in a special binder. Each page holds 9 baseball cards in a 3x3 array. The first pa
    12·1 answer
  • A 75.0 kg person steps on a scale in an elevator. The scale reads 761 N. What is the magnitude of the acceleration of the elevat
    11·1 answer
  • What is the minimum value for the function shown in the graph?<br><br> Enter your answer in the box.
    10·2 answers
  • PLEASE HELP ME!! BRAINLIEST AND 60 POINTS
    10·1 answer
  • Olivia is an athlete. During training this morning, she ran three laps. It took her 5 6minute to finish the first lap. The secon
    14·1 answer
  • What is the probability of getting a number less than 4 and then roiling a 4?
    5·1 answer
  • Someone please help!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!