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Arada [10]
2 years ago
14

20 POINTS PLEASE ANSWER Use the relationships between the angles to find the value of x

Mathematics
1 answer:
WARRIOR [948]2 years ago
4 0

Answer:

x = 25 degrees

Step-by-step explanation:

So we know that the 4x, 2x + 10°, and x - 5° and the measures of the three interior angles of the triangle. The sum of the interior angles of a triangle is 180°.

Using this, we can conclude that the sum of 4x, 2x + 10°, and x - 5° is equal to 180°.

We can write this information as the equation:

4x + (2x + 10) + (x - 5) = 180

We can use this equation to find the value of x. To find the value of x by using the equation, we need to solve for x (put the equation into the form x = _).

Solve for x:

4x + (2x + 10) + (x - 5) = 180

4x + 2x + 10 + x - 5 = 180

Combine like terms.

7x + 5 = 180

Subtract 5 from both sides to get rid of the +5 on the left side.

7x = 180 - 5

Simplify.

7x = 175

Divide both sides by 7 to get rid of the coefficient of 7 on the left side.

x = 175 ÷ 7

Simplify.

x = 25.

x would be equal to 25°.

x = 25 degrees

I hope you find this helpful. :)

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valkas [14]

She spent 8 months in the 1st gym and 4 months in the 2nd gym

Step-by-step explanation:

Jan spends part of her year as a member of a gym.

  • She then finds a better deal at another gym so she cancels her membership with the first gym after x months
  • She spends the rest of the year, y months, with the second gym
  • The membership to the first gym costs $75 per month, while the membership for the second gym costs $45 per month
  • She ended up spending a total of $780 over the course of the year

We need to find how much time she spent at each gym

∵ She spent x months in the 1st gym

∵ She spent y months in the 2nd gym

∵ Her course is a year

- There are 12 months in a year

∴ x + y = 12 ⇒ (1)

∵ The membership to the first gym costs $75 per month

∵ The membership to the second gym costs $45 per month

∵ She ended up spending a total of $780 over the course

∴ 75x + 45y = 780 ⇒ (2)

Now we have a system of equations to solve it

Multiply equation (1) by -45 to eliminate y

∵ -45x - 45y = -540 ⇒ (3)

- Add equations (2) and (3)

∴ 30x = 240

- Divide both sides by 30

∴ x = 8

- Substitute the value of x in equation (1) to find y

∵ 8 + y = 12

- Subtract 8 from both sides

∴ y = 4

She spent 8 months in the 1st gym and 4 months in the 2nd gym

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

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Please help this is so confusing u can have 25 points if u help me
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Total ratio=1+4=4

¼×15=3.75

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Sharing 15cm in that ratio gives 3.75:11.25

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Is square root 1-cos^2theta=-sintheta true? if so, in which quadrants does angle theta terminate?
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