All categories

3 years ago

Find the value of x :)

Mathematics

2 answers:

Kisachek [45]3 years ago

4 0

Answer:

x=20

Step-by-step explanation:

Those add up to 180 degrees because a straight line is 180 degrees

Equation

2x + 70 + 3x + 10 = 180

Add liked terms

2x+3x=5x

5x+80=180

5x+80-80=180-80

Divide both sides by 5

5x=100

x=20

hope this helps and good luck! <3

alexira [117]3 years ago

3 0

Answer:

x = 20

Step-by-step explanation:

→ Remember how many degrees are on a straight line

180°

→ Set up an equation

2x + 70 + 3x + 10 = 180

→ Simplify

5x + 80 = 180

→ Minus 80 from both sides

5x = 100

→ Divide both sides by 5

x = 20

You might be interested in

Solve each given equation and show your work. Tell whether it has one solution, an infinite number of solutions, or no solutions

Bingel [31]

These are three equations and three answers.

Answers:

A) infinite solutions, identity
B) one solution, x = 27, neither contradiction nor identiy
C) x = no solutions, contradiction

Explanation:

Equation A: 20 - 4x = 12 - x + 8 - 3x

The objective is clearing the unknown, which is to isolate it in one side of the equation.

These are the steps and properties that you need to use:

1. Combine like terms on right side:

20 - 4x = 20 - 4x

2. Use addition property of equality (add 4x on each side).

20 = 20 ↔ identity

Conclusion: you have gotten a condition that is always true, no matter the value of x, which means that the equation has infinite solutions and it is an identity.

Equation B: 5x + 4x - 3 = 24 + 8x (note that I placed the equal sign as it was missing)

1. Combine like terms on each side:

9x - 3 = 24 + 8x

2. Subtraction property and addition propertiy of equality (subtract 8x and add + 3 on both sides)

x = 27 ↔ solution (neither contradiction nor identity)

Conclusion: the solution is x = 27.

Equation C: 5x + 6 = 2x + 6 + 3x - 15 (note that I placed the equal signs as it was missing)

1. Comitne like terms on the right side:

5x + 6 = 5x - 9

2. Subtraction property of equality (subtract 5x from each side)

6 = - 9 ↔ contradiction

Conclusion: the equation does not have a solution since the final equality is always false (a condradiction or absurd).

For your information, when the variable (x) dissapears and fhe final equality is always true (for example 0 = 0, or 20 = 20), the equation is an identity.

6 0

4 years ago

Read 2 more answers

The correct answer is...?

Elanso [62]

Answer:

The answer to both problems is GRAPH

I hope this helps:)

8 0

3 years ago

I really need help on these few questions. I real deal don't understand them so anyone who does can you please help me?

belka [17]

This looks really hard :(

3 0

4 years ago

Last year, the average American used 167 disposable water bottles (16.9 oz or 0.132 gallons). If the cost of 1 gallon of tap wat

Mrrafil [7]

Answer:

The money that could be saved by drinking tap water is $165.46.

Step-by-step explanation:

Given:

Cost of 1 bottle of water = $1.00

Number of bottles consumed = 167

Volume of water used in 1 bottle = 0.132 gallons

So, volume of water used in 167 bottles = 167 × 0.132 = 22.04 gallons

Cost of 1 gallon of tap water = 7 cents = $0.07

In order to determine the money saved using tap water, we first find the cost of 167 bottles.

Using unitary method,

1 bottle cost = $1.00

167 bottles cost = Number of bottles × Cost of 1 bottle

= 167 × $1.00 = $167.00

Now, 167 dollars is spent for consuming 22.04 gallons of water.

Now, cost of 1 gallon of tap water = $0.07

So, cost of 22.04 gallons of tap water = 22.04 × 0.07 = $1.54

Therefore, the money saved by drinking tap water is given as:

Money saved = Money spent in bottles for 22.04 gallons - Money spent in tap water for the same volume

Money saved = $167.00 - $1.54 = $165.46

Hence, the money that could be saved by drinking tap water is $165.46.

8 0

3 years ago

Suppose triangle TIP and triangle TOP are isosceles triangles. Also suppose that TI=5, PI=7, and PO=11. What are all the possibl

taurus [48]

<h3>Two answers: 5, 7</h3>

====================================================

Explanation:

A drawing may be helpful to see what's going on. Check out the diagram below. This is one way of drawing out the two triangles. The locations of the points don't really matter, and neither does the the orientation of how you rotate things. What does matter is we have the right points connected to form the segments mentioned.

----------

For now, focus on triangle TIP only. In order to have this be isosceles, we must make TP = 5 or TP = 7.

If TP = 5, then it's the same length as TI.

If TP = 7, then it's the same length as PI.

In either case, we have exactly two sides the same length (the other side different) which is what it means for a triangle to be isosceles.

----------

Let's consider triangle TOP. For it to be isosceles, we must have two sides the same length. We already locked in TP to be either 5 or 7 in the previous section above. So there's no way that TP could be 11 units long to match up with PO = 11.

If TP = 5, then OT must also be 5 units long so that triangle TOP is isosceles.

If TP = 7, then OT = 7 for similar reasoning.

Either way, TP only has two choices on what it could be.

----------

In short, we basically just write the first two values given to us to get the two triangles to be isosceles. We can't use TP = 11 as it would make triangle TIP to be scalene (all sides are different lengths).

5 0

4 years ago