30 points! Find the angles formed by two intersecting lines, if the sum of three of the four angles is equal to 270°.

Answers

Answer 1
Answer:

One pair of vertical angles measures 90 degrees each, and the other pair of vertical angles measures 90 degrees each as well.

How to solve for the angles

When two lines intersect, they form four angles. The angles that are opposite each other, called vertical angles, are equal. The sum of the measures of the vertical angles and the adjacent angles is 180° because they form a straight line.

Solving for x we get:

2x + 180 - x = 270

x = 90

Therefore, one pair of vertical angles measures 90 degrees each, and the other pair of vertical angles measures 90 degrees each as well.

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Answer 2
Answer: each angle is 90 degrees because 90 times 3 is 270.

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Mr. Scruggs got some money for his birthday. He spent 1/5 of it on dog treats. Then , he divided the he divided the remainder equally among his 3 favorite charities. What fraction of his money did each charity receive? If he donated $60 to each charity , how much money did he receive for his birthday

Answers

The remainder after dog treat is 4/5
On diving amongst 3 charities;
4/5÷3=4/15
4/15 is equivalent to 60
Then 15/15 will be equivalent 15*60/4
= 225 dollars

Answer: Fraction of money each charity received =(4)/(15)

He received $225  for his birthday.

Step-by-step explanation:

Let x denotes the money Mr. Scruggs received for his birthday.

Given : He spent 1/5 of it on dog treats.

i.e. Money he spent on dog treats =(x)/(5)

Remaining money = x-(x)/(5)=(5x-x)/(5)=(4x)/(5)

Since he divided the he divided the remainder equally among his 3 favorite charities.

Money each charity received = (4)/(5)/ 3

=(4x)/(5)*(1)/(3)=(4x)/(15)

Fraction of money each charity received=(4)/(15)

If he donated $60 to each charity , then

\Rightarrow\ (4x)/(15)=60\n\n\Rightarrow\ x=(60*15)/(4)=15*15=225

∴ He received $225  for his birthday.

chad has two pieces of wood. one piece is 7/12 foot long. second is 5/12 foot longer than forst. how long is second piece

Answers

Answer:

Step-by-step explanation:

Alright lets get started.

Clad has two pieces of wood.

The length of first wood piece is=(7)/(12)

length of the second wood piece is (5)/(12) longer than the first wood piece.

So, the length of the second wood piece is =(7)/(12)+(5)/(12)=(12)/(12)=1

Hence, the length of the second wood piece is 1 foot long.   :   Answer

Hope it will help.

1st piece = 7/12.

2nd = 5/12 longer.

2nd = 7/12 + 5/12 = (7 + 5) / 12 = 12/12 = 1.

2nd piece = 1 foot long.

Plz help me answer these questions3/4 - 1/2
3/4 - 3/8
5/6 - 1/4
5/6 - 1/2
5/6 - 1/3
7/8 - 1/4
7/8 - 1/2
7/8 - 3/4

thank you! have a nice day

Answers

1. 1/4
2. 3/8
3. 7/12
4. 2/6  simplify1/3
5. 3/6 simplify 1/2
6. 5/8
7. 3/8
8. 1/8
1. ¾ — ½½ = ²/4¾ – ²/4 = ¼2. ¾ — ⅜¾ = 6/86/8 — ⅜ = ⅜3. 5/6 — ¼5/6 = 10/12¼ = 3/1210/12 — 3/12 = 7/124. 5/6 — ½½ = ³/65/6 — ³/6 = ²/6 = ⅓5. 5/6 — ⅓⅓ = ²/65/6 — ²/6 = ³/6 = ½6. ⅞ — ¼¼ = ²/8⅞ — ²/8 = ⅝7. ⅞ — ½½ = ⁴/8⅞ — ⁴/8 = ⅜8. ⅞ — ¾¾ = 6/8⅞ — 6/8 = ⅛

Solve: 3x - 2x + 4 = 5x - 4x - 8

Answers

Answer:

No solution for the given algebraic expression.

Step-by-step explanation:

To solve the algebraic equation we must isolating the variable or rewriting the equation so that the one expression is only the variable with the coefficient 1.

Solve: 3x-2x+4=5x-4x-8

Now put every terms that contains variables on one side of the equation and those terms on the other side which does not contains the variable.

3x-2x-5x+4x=-4-8

Combine like terms:

x-x=-12

0=-12 which is not true.

therefore, the given expression have NO SOLUTION.






The equation 3x-2x+4=5x-4x-8 has \boxed{\text{\bf no solution}}.

Further explanation:

Given:

The equation is 3x-2x+4=5x-4x-8.

Calculation:

The above equation involves only one variable.

To solve a one variable linear equation, arrange all the terms that contain variable on one side and the terms that are free from variable on the other side.

Write the given equation by taking terms that contains variable on left side and the terms which are free from variables on right side.

Subtract (5x-4x) from both the sides of the given equation.

\begin{aligned}3x-2x+4&=5x-4x-8\n3x-2x-5x+4x+4&=5x-4x-8-5x+4x\n7x-7x+4&=-8\end{aligned}

Subtract 4 from both the sides of the above equation,

\begin{aligned}7x-7x+4-4&=-8-4\n0&=-12\end{aligned}  

The above equation shows that the value of 0 is equal to -12.

The statement “0 is equal to -12” is a false statement.

Therefore, the equation 3x-2x+4=5x-4x-8 has no solution.

No solution means there exists no value of x that satisfies the given equation.

Learn more:

1. Solution of linear equation ://brainly.com/question/1682776

2. Equation of line  brainly.com/question/1473992

3. A problem on intercept brainly.com/question/1473992

4. A problem on composite function brainly.com/question/2723982

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Linear equation

Keywords: Equation, variable, 3x - 2x + 4 = 5x - 4x – 8, constant, linear equation, no solution, solve, addition, subtraction, isolate, plug, substitute.

1 The 14 members of the baseball team are going to stop at an ice cream shop after the game. The ice cream shop has a special treat that has 2 scoops of Blue Moon, 3 scoops of Superman, 8 cherries and 1 cup of whipped cream. They are all going to get the same treat. How much of each ingredient will be needed for all of the treats. Use distributive property to set up your problem then solve.​

Answers

Answer:

196

Step-by-step explanation:

14 x 2 +14 x 3 + 14 x 8 + 14

Which expression represents the union of not a and not bA) P(A' ∩ B')

B) (A' ∩ B')

C) (A ∪ B)

D) A' ∪ B'

Answers

The expression represents the union of not A and not B will be A' ∪ B'. Then the correct option is D.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The expression represents the union of not A and not B mathematically as,

A' ∪ B'

Then the correct option is D.

More about the Algebra link is given below.

brainly.com/question/953809

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I think that would be D