GIVEN: BA || CF, BC || ED.
PROVE: angle 1 is congruent to angle 2

#11 pleaseeee
20 points!!

GIVEN: BA || CF, BC || ED.PROVE: Angle 1 Is Congruent To Angle 2#11 Pleaseeee20 Points!!

Answers

Answer 1

Answer:

∠1 ≅ ∠2 ⇒ proved down

Step-by-step explanation:

#11

In the given figure

BA // CF

∵ BC is a transversal

∠1 and ∠BCF are interior alternate angles

∵ The interior alternate angles are equal in measures

∴ m∠1 = m∠BCF

∠1 ≅ ∠BCF ⇒ (1)

BC // ED

∵ CF is a transversal

∠BCF and ∠2 are corresponding angles

∵ The corresponding angles are equal in measures

∴ m∠BCF = m∠2

∠BCF ≅ ∠2 ⇒ (2)

From (1) and (2)

∵ ∠1 and ∠2 are congruent to ∠BCF

∴ ∠1 and ∠2 are congruent

∠1 ≅ ∠2 ⇒ proved


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Step-by-step explanation:

Answer:

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Step-by-step explanation:

5(1 - 2x) = -65
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Step-by-step explanation:

5(1-2x) = -65

5-10x = -65

65+5 = 10x

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x = 7

Answer:

X=7/2

Step-by-step explanation:

5(1 - 2x) = -65

5-20x=-65

-20x=-65-5

-20x=-70

Minus sign cancel from both side

So x=70/20

X=7/2

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A local school donated canned goods to help the community. Cans were packed into boxes each weighing 16.4 pounds. The volunteers packed 9 boxes. How many total pounds of food did they collect? A. 97.6 B. 147.6 C. 976 D. 1,476

Answers

Answer:

147.6 pounds of food

Step-by-step explanation:

Each box weighed 16.4pounds, if the volunteers packed 9 boxes, we need to calculate the total pounds of food collected. Using the equality postulate;

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Cross multiply;

1 * x = 9 * 16.4

x = 147.6 pounds of food

Hence the volunteers collected 147.6 total pounds of food

Solve the inequality. Graph the solutions.​

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Answer:

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Step-by-step explanation:

i took the test

Answer:

C. x < -5 or x > 5

Step-by-step explanation:

What is the annual interest on a 5,000 loan with a simple interest rate of 6%

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Answer:$50.00

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The average temperature in May is
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The average temperature in January is
42.34º.
About how much warmer is it in May
than in January?

Answers

I think it’s 21.06. If not then sorry

What is the value of y in the equation 2(4y − 1) = 6? (4 points) a 0 b 1 c 6 d 8

Answers

Answer:

B; 1

Step-by-step explanation:

divide both sides of the equation by 2

4y-1=3

move the constant to the right

4y=3+1

calculate (add the numbers)

4y+4

divide both sides by 4

y=1

Answer:

b

Step-by-step explanation:

The temperature at 6:00 pm was 15 degrees Celcius. The temperature dropped 2 degrees Celcius per hour. What was the temperature at 4:00 am

Answers

Answer:

-5 Celsius

Step-by-step explanation:

You find the hours between which is 10 then you multiply 10 to 2 and then subtract

A fish was 7 feet below sea level and
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-7 - 12 represents this situation.
Find –7 – 12 to determine the location of
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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

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So the other ones will be the same if this one is the answer. If you want you can check with the other ones. It's really easy if you get to understand it.

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Step-by-step explanation:

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Answers

Answer:

A.

Step-by-step explanation:

A function is a relation in which every input or value in the domain is paired with exactly one output or value in range.

Draw vertical to check if there is one output for one input.

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HELP PLEASE! :) Lilith is remodeling her bathroom and needs an $8,700 loan to pay for the cost of the remodel. Which loan option will have Lilith pay the most amount in interest? 30-month loan with a 5.75% interest rate compounded annually 30-month loan with a 5.75% annual simple interest rate 24-month loan with a 6.25% interest rate compounded annually 24-month loan with a 6.25% annual simple interest rate

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Answer:

Which loan option will have Lilith pay the most amount in interest

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Step-by-step explanation:

1.-Interes rate compouned  

Loan 30,000

% 5.75%

Time( Years) 2.50

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2.-Simple interest  

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% 5.75%

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3.-Simple interest  

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% 6.25%

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4.-Interes rate compouned  

Loan 30,000

% 6.25%

Time( Years) 2.00

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The loan option that will cause Lilith  to pay the most interest is a 30-month loan with a 5.75% interest rate compounded annually.

A simple interest is a kind of interest that is charged only on the principal while a compound interest is a kind of interest that is charged both on the principal and the interest.

The loan option that will cause Lilith  to pay the most interest is a 30-month loan with a 5.75% interest rate compounded annually.

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Answers

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that last month $30 was spent on clothing and that this month, 160% of what was spent last month.

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Answers

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Step-by-step

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What is the slope of the line through (−1,−7) and (3,9)?

Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

My work for your question

"12" is the correct value of "x" which satisfies the given equation.

The given equation is:

→  [tex]\frac{x}{4} +\frac{x}{2} =9[/tex]

By taking L.C.M, we get

→  [tex]\frac{x+2x}{4}= 9[/tex]

→  [tex]\frac{3x}{4} =9[/tex]

By applying cross-multiplication, we get

→  [tex]3x=36[/tex]

→    [tex]x = \frac{36}{3}[/tex]

→       [tex]= 12[/tex]

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Answers

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Please insert a picture of the question

An individual can win a prize by drawing the highest numbered card out of five cards. After each draw, the card is replaced and the cards are shuffled for another chance. If the prize is not won, the card is again replaced and mixed in with the other cards. If a prize is won, the highest card is replaced and the five cards are shuffled for a new game. If an individual makes seven draws, what is the probability the individual will win a prize exactly two times?

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Answers

Answer:

B

Step-by-step explanation:

Students at Mendel Middle School are planning a fair for their school's fundraiser. Liam volunteers to help plan the event. The first month, he volunteered for x hours. The next month, he volunteered for 1 2/3 times as many hours as he had the first month. If he volunteered for a total of 40 hours, how many hours did he volunteer during the first month? Write an equation to represent the situation and solve.

Answers

Answer:

15 hours

Step-by-step explanation:

[tex]x[/tex] is the number of hours that Liam volunteered in the first month

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[tex]x+1\dfrac{2}{3}x=40\\\Rightarrow x+\dfrac{5}{3}x=40\\\Rightarrow \dfrac{3x+5x}{3}=40\\\Rightarrow x=\dfrac{40\times 3}{8}\\\Rightarrow x=15[/tex]

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Answers

Answer:

x=-9

Step-by-step explanation:

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[tex]9(x-5)-14x=-7(x+9)[/tex]

STEP 2: Simplify 9(x−5)−14x.

[tex]-5x-45=-7(x+9)[/tex]

STEP 3: Simplify −7(x+9).

[tex]-5x-45=-7x-63[/tex]

STEP 4: Move all terms containing x to the left side of the equation.

[tex]2x-45=-63[/tex]

STEP 5: Move all terms not containing x to the right side of the equation.

[tex]2x=-18[/tex]

STEP 6: Divide each term by 2 and simplify.

[tex]x=-9[/tex]

Answer:

x= -9

explanation in the pic above

hope it helps.

HELPPP PLZZZZZ I DONT KNOWW HOW TO DO THSSS

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Answer:

Join Zoom Meeting

Meeting ID: 580 387 3474

Passcode: 1234

Answer:

Step-by-step explanation:

y=-x-4

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Answer:

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Step-by-step explanation:

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Answers

Answer:

3x  >  3x+2

Step-by-step explanation:

inequality with no solutions will give you something that is never true like

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3x  >  3x+2

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O [3,7]
O (3,7)
O [7,3]
O (7,3)

Answers

Answer:

3,7

Step-by-step explanation:

Answer:

(3, 7 )

Step-by-step explanation:

Given

1 < x - 2 < 5 ← add 2 to each interval

3 < x < 7

Since x cannot equal 3 or 7 then use parenthesis for limits, that is

solution is (3, 7)

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