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katrin2010 [14]
4 years ago
5

What is the value of x?

Mathematics
1 answer:
antiseptic1488 [7]4 years ago
4 0
I've attached a diagram of what I think you've described.

If I am correct, these are vertical angles, which are congruent by definition. This means you can set the angles' expressions equal to each other to solve for x.

2x + 2 = 3x - 52
      2x = 3x - 54
       -x = -54
        x = 54

You should always check your work. To check, plug 54 for x into the equation.

     2x + 2 = 3x - 52
2(54) + 2 = 3(54) - 52
  108 + 2 = 162 - 52
        110 = 110

Answer:
x = 54

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The whole sale cost of bicycle is $75. There is a mark up of 55%. What is the new sale price of the bike
blsea [12.9K]

Answer:

$116.25

Step-by-step explanation:

10% = $7.50

5% = $3.75

7.50 x 5 = 37.50

37.50 + 3.75 = $41.25

$75 + $41.25 = $116.25

Hope this helps !

8 0
3 years ago
M is proportional to the cube of r. when r=3m,m=216.when r=5 find the value of m
klio [65]

Answer:

The value of m is 1000 for r=5

Step-by-step explanation:

Given that m is proportional to the cube of r

It can be written as:

m \propto\ r^3

When the proportionality symbol is removed a proportionality constant is introduced in the equation.

Let k be the proportionality constant

m = kr^3

Given

r=3,m=216

Putting the values

216 = k(3)^3\\216 = k * 27\\k = \frac{216}{27}\\k = 8

The equation will now become

m = 8r^3

Putting r = 5

m = 8(5)^3\\m = 8 * 125\\m = 1000

Hence,

The value of m is 1000 for r=5

7 0
3 years ago
Mr. Bartley is taking the theater club on a field trip to see the musical wicked. The school treasurer asked Mr. Bartley for the
Darya [45]

Answer: Tickets cost $25 and each person must contribute $2 for the bus. There are 52 people going on the trip.


Step-by-step explanation:

Given: Mr. Bartley is taking the theater club on a field trip [which must include bus or other vehicle] to see the musical wicked. The school treasurer asked Mr. Bartley for the group's total ticket cost.

He wrote the following cost function for the school treasurer.

Total Cost =52(25+2)

Since cost function is a function based on number of people and per head cost.

So, the statement which best describe the cost function is "Tickets cost $25 and each person must contribute $2 for the bus. There are 52 people going on the trip."


5 0
3 years ago
Read 2 more answers
Please answer for BRAINLIEST!
oee [108]

Answer:

1.5 units squared

Step-by-step explanation:

Area of a Triangle formula: A = 1/2bh

Pythagorean Theorem: a² + b² = c²

Since you are missing the <em>h </em>to find the area of the triangle, you must use Pythagorean to find the 3rd missing side (it is a right triangle so you can use Pythagorean).

Step 1: Use Pythagorean

2.5² = 1.5² + b²

4 = b²

b = 2

Step 2: Switch variables

b (from Pythagorean) = h (height for Area)

Step 3: Solve for Area

A = 1/2(1.5)(2)

A = 1.5

And you have your final answer.

8 0
4 years ago
An apartment cost $875 per month to rent the owner raises the price by 20% and then gives a discount of 8% to renters who signed
USPshnik [31]

Answer: $84

Step-by-step explanation: 20% of 875=175; 175+875=1050; 8% of 1050=84, so your final answer would be $84.

7 0
4 years ago
Read 2 more answers
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