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Roman55 [17]
3 years ago
7

What is the value of x?

Mathematics
1 answer:
stiks02 [169]3 years ago
4 0

Answer:

X= 15

Step-by-step explanation:

Since the angles are equal the equation to solve would be:

3x + 20 = 5x - 50

you will subtract 3x from 5x and get 2x

20 = 2x -50

subtract 20 from 50 to get 30

2x= 30

divide each side by 2

\frac{2x}{2}  = \frac{30}{2}

X= 15

Hope this helps

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A theater has 56 rows of seats. If there are 13 seats in the first row, 18 in the 2nd row, 23 in the 3rd row. How many seats are
Anna35 [415]

Answer:

8428

Step-by-step explanation:

According to the Question,

  • Given, A theater has 56 rows of seats. If there are 13 seats in the first row, 18 in the 2nd row, 23 in the 3rd row.

We have a number sequence  13, 18, 23, ...

  • We can say that this is an arithmetic sequence because of the common difference 'd', is equal to 5, and the first term 'a1' is equal to 13.
  • The formula for the sum of an arithmetic sequence with n terms is given is S_n= \frac{n}{2} [2a_1+(n-1)d]S .

Substitute the given values into the equation to solve for the sum of the 56 rows of seats.

S_56= \frac{56}{2}[2(13)+(56-1)(5)]\\S_{56}=28\left[26+275\right]\\S_{56}=28\left[301\right]\\S_{56}=8428

Therefore, there are 8428 seats in all.

4 0
3 years ago
Matt has answered 20/25 of the question on a test . What percent of test Questions has Matt answers
sergey [27]

you need to make the fraction to 100

100/25=

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80

6 0
3 years ago
Read 2 more answers
A surveyor starts at the southeast corner of a lot and
elena-s [515]

Find the difference vertically( North and South) and the difference horizontally ( East and West)

Then use  the Pythagorean Theorem.

600 North - 200 South = 400 m

400 West - 100 East = 300 m

Now using the Pythagorean Theorem;

400^2 + 300^2 = total displacement^2

Total displacement^2 = 160,000 + 90,000

Total displacement^2 = 250,000

Total displacement = √250,000

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PLEASE HELP WILL GIVE BRAINLIEST Abby purchased 4 2/5 gallons of paint to paint 4 walls of a room in her house. the cost of one
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Answer:

Cost to paint 4 walls of a room = $24.20

Cost of painting 3 walls of a room =$18.15

Step-by-step explanation:

(a) Abby purchased 4 2/5 gallons of paint to paint 4 walls of a room in her house.

4\frac{2}{5}gallons \ of \ paint = \frac{4*5+2}{5} =\frac{22}{5}

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So 22/5 gallons cost = \frac{22}{5} * 5.5= 24.20

Cost to paint 4 walls of a room = $24.20

(b)cost of painting 4 walls of a room = $24.20

cost of painting 1 wall of a room = \frac{24.20}{4} =6.05

Cost of painting 3 walls of a room = 6.05 * 3= $18.15

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What is the slope of a line thats is Perpendicular to the line y=8x+5
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Answer:
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