Fill in the blanks. Use lower case.

Statements Reasons
1. ∠1 ≅ ∠2, ℓ ⊥ n 1.
2. ǁ n 2. converse of alternate interior angles theorem
3. ℓ ⊥ p 3. transversal theorem

Fill In The Blanks. Use Lower Case.StatementsReasons1. 1 2, N1. 2. N2. Converse Of Alternate Interior

Answers

Answer 1

Mathematical proofs are used to determine if a conjecture or statement is true, or otherwise.

The blanks will be filled with the following texts

Given[tex]\mathbf{\angle 1 \cong \angle 2}[/tex]Proved

From the question, the following parameters are given:

[tex]\mathbf{\angle 1 \cong \angle 2}[/tex] and [tex]\mathbf{l \perp 1}[/tex]

This means that, the first blank will be completed with given.

By converse of alternate interior angles theorem

[tex]\mathbf{\angle 1 \cong \angle 2}[/tex] --- angle 1 and angle 2 are congruent

So, the second blank will be completed with [tex]\mathbf{\angle 1 \cong \angle 2}[/tex]

The above statement means that:

[tex]\mathbf{l \perp 1}[/tex] has been proved

Hence, the last blank will be completed with proved.

Read more about mathematical proofs at:

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Related Questions

Write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

y = -3x +7

Step-by-step explanation:

how is this college level ?

Find what 2/4 is multipled by to to get 2/4 divided by 12. Then solve the problem. Do not reduce your answer.

Answers

Answer:

Step-by-step explanation:

what is 200 x 300 kakakkakakakakkaakkkak

Answers

Answer:

60000 ty ..............

Answer:

60000

..............

what a difficult question !!! Do not ask such difficult questions ..lol

Someone help me pls, this is a distance time graph

Answers

Answer:

it's b

Step-by-step explanation:

just took the test

Mary cut a square piece of fabric with an area of 40 square feet. Which expression could be used to find the side length of the fabric?

Answers

Answer:

L = 6.3 or 6.4

Step-by-step explanation:

Just do the square root of 40, which is 6.3 or 6.4 (but I think 6.4 is a better answer)

b. One room is 8 ft wide and 12 ft long.
Another room is 9 ft wide and 15 ft
long. What is the difference in area?

Answers

Answer:

12-8

15-9

Step-by-step explanation:

45six +13six

Carry out the addition shown using base six notation

Answers

Step-by-step explanation:

45 6

13 6

_____ +

02 6

1

________

6 /..8

..... -6

_______

..... 2

0

_______

6/5

...5

_____

0

Last month, 3,477 people visited the zoo. This month, 2,941 people visited the zoo.

How many more people visited the zoo last month than visited this month?

Answers

Answer:

536 people

Step-by-step explanation:

3477-2941=536

Answer:

536 more visitors visited the zoo last month this month.

Step-by-step explanation:

just subtract

Perform the indicated operation. Reduce to lowest terms if possible.
2 1/2 x 2 1/3

Answers

Answer:

Step-by-step explanation:

Convert mixed fraction to improper fraction.

[tex]2\dfrac{1}{2}*2\dfrac{1}{3}=\dfrac{5}{2}*\dfrac{7}{3}=\dfrac{5*7}{2*3}\\\\=\dfrac{35}{6}=5\dfrac{5}{6}[/tex]

Can somebody help me with social studies since nobody will?

Answers

Answer:

Yes! Sure I will, just follow me and I will follow you!

Then I get the notifications of your doubts.

Step-by-step explanation:

I love helping

In a hand of cards, the ratio of black cards to red cards was 5 to 3. If the hand contained 15
black cards, which of the following proportions could be solved to find the number of red
cards?

Answers

Answer:

5:3 =  15:x

the answer would be 15 black cards to 9 red cards

Step-by-step explanation:

Can someone please help me?​

Answers

Answer: X=7/3

Step-by-step explanation:

3

+

2

=

2

+

1

3

3

3x+2=2x+\frac{13}{3}

3x+2=2x+313​

Solve

1

Subtract

2

2

2

from both sides of the equation

3

+

2

=

2

+

1

3

3

3x+2=2x+\frac{13}{3}

3x+2=2x+313​

3

+

2

2

=

2

+

1

3

3

2

3x+2{\color{#c92786}{-2}}=2x+\frac{13}{3}{\color{#c92786}{-2}}

3x+2−2=2x+313​−2

2

Simplify

Subtract the numbers

Subtract the numbers

3

=

2

+

7

3

3x=2x+\frac{7}{3}

3x=2x+37​

3

Subtract

2

2x

2x

from both sides of the equation

3

=

2

+

7

3

3x=2x+\frac{7}{3}

3x=2x+37​

3

2

=

2

+

7

3

2

3x{\color{#c92786}{-2x}}=2x+\frac{7}{3}{\color{#c92786}{-2x}}

3x−2x=2x+37​−2x

4

Simplify

Combine like terms

Multiply by 1

Combine like terms

=

7

3

x=\frac{7}{3}

x=37​

Solution

=

7

3

-48 divided by what equals 6

Answers

Answer: the answer is -8

Step-by-step explanation:

Help me answer these questions

Answers

Answer:

Explanation below

Step-by-step explanation:

3. 46

4. 66

5. 30

6. 75

7. 18

8. 24

9. 33

10. 60

11. 16

12. 45

-3/5-2/10= para ahorita plsss

Answers

Answer:

-0.8     GL HEHHEHHEHEHEHEHEHEHEHHEHEHEHHEHEH

Mixed numbers 204/5=

Answers

Answer:

Step 1 - Find Whole Number

Calculate out how many times the denominator goes into the numerator. To do that, divide 204 by 5 and keep only what is to the left of the decimal point:

204 / 5 = 40.8000 = 40

Step 2 - Find New Numerator

Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.

204 - (5 x 40) = 4

Step 3 - Get Solution

Keep the original denominator and use the answers from Step 1 and Step 2 to get the answer. 204/5 as a mixed number is:

40  

   4  

   5  

Improper Fraction To Mixed Number Converter

204/5 as a mixed number is not the only problem we solved. Go here to convert another improper fraction to a mixed number.

What is 204/6 as a Mixed Number?

Here is the next improper fraction on our list that we converted to a mixed number.

Terminology & Explanation

204 above the division line is called the numerator and 5 below the divison line is called the denominator.

We call the line that separates 204 and 5 the division line. It is also known as the fraction bar or vinculum.

204/5 is an improper fraction because the numerator is greater than the denominator.

A mixed number is an integer (whole number) and a proper fraction.

Bank account A starts with $5,000 and grows by $1,000 each week. Bank account B starts with $1 and doubles each week.
1.which account has more money after one week?After two weeks?

Answers

Answer:

A

Step-by-step explanation:

If bank A keeps adding on 1,000 and bank B is only doubling by 2 then A is much greater than B.

The account that has more money after one week is account A.

The account that has more money after two weeks is account A

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Account A:

Balance = $5000

Each week increase = $1000

Amount after one week.

= 5000 + 1000

= 6000

Amount after 2 weeks.

= 6000 + 1000

= 7000

Account B:

Balance = $1

Each week's increase = doubles the amount

Amount after 1 week.

= $2

Amount after 2 weeks.

= $4

Thus,

Account A has more money after one week.

Account A has more money after two weeks.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Andrea saves 65 each day.if this is 25% of hair daily allowance, how much is her daily allowance

Answers

25/100 = x/65

100x = 1625

x = $16.25

$16.25 is her daily allowance

Ben gets $50 per day as wages and $6.00 as commission for every book he sells in a day. His daily earnings goal is $140.
Using the equation constructed in previous question, solve for the
number of books he must sell to meet his daily earnings goal.


Answers

$140 = $6 per book • x books + $50

Subtract $50 from $140 and you get:
$90 = $6 per book • x books

Divide $90 by $6 per book:
And you get x = 15 books

Answer:

the basic wage is 50$

the extra to get 140$ is 90$(140-50)

.............

as for 1 book he get 6$

so for ? book he get 90$

then ? =(90$*1)/6$= 15 book

that's it hope i helped.

Enter the number
10.333333333333
rounded to the nearest hundredth (two decimal places):

Answers

Answer:

Step-by-step explanation:

This decimal rounded to the nearest 1/100 is 10.33 The next 3 in the 1/1000 place, is not large enough to influence the 3 in the hundredth place.

So the answer is 10.33

what's the answer to
-12(d-5)-29=43​

Answers

Answer:

d=-1

Step-by-step explanation:

The answer would be d = -1

what is % 12 of 104?​

Answers

Answer:

12.48 is the answer

Step-by-step explanation:

have a great day

Answer:

12.48

Step-by-step explanation:

104×12=1248

1248 count to decimals

12.48

What is the value of the expression 4(80+ b) – 12, where b = 20?
-
328
3.352
c388
D. 412


Answers

4(80+b)-12 b=20= 4(80+20)-12= 4(100)-12= 400-12= 388option c is the right answer

please mark this answer as brainlist

f(x)=3x 3 inverse function

Answers

Step-by-step explanation:

if I understand this correctly than you are looking for the inverse function of f(x) = y = 3x³.

the inverse function simply tries to calculate the original x it of the original y.

and then, to make it a formal function, we rename x to y and y to x.

y = 3x³

x³ = y/3

[tex]x = \sqrt[3]{ \frac{y}{3} } [/tex]

=> as "regular" function

[tex]y = {f}^{ - 1} (x)= \sqrt[3]{ \frac{x}{3} } [/tex]

Order the numbers from least to greatest 0.607, 607, 6.07, 60.7

Answers

Answer:

0.607, 6.07, 60.7, 607

Step-by-step explanation:

graph this linear equation

y-2=4(x-1)

Answers

x= 0,1

y= -2,2

Slope 4

Y-Intercept (0,-2)

(-5.4, 4.7) and (0.6, 4.7) find the unit

Answers

Answer: 6 units

Step-by-step explanation:

|-5.4| + |0.6|

5.4 + 0.6 = 6 units

You hike 1.2 miles west from a trailhead and then receive a text from a friend. She
is.x miles west of the trailhead. You hike to meet her, and then you both hike back
to where you left off on the trail. You hiked 2.7 miles in total. Formulate an absolute
value equation to represent this situation,

Answers

Answer:

the answer is definitely 4

Georgina cooked a 10 1/5 pound turkey in 2 3/5 hours. How many hours per pound did it take to cook the
turkey? Express and explain your answer as a unit rate.

Answers

13/51 hours per pound

EXPLANATION

= 2 3/5 hours : 10 1/5 pound

= 13/5 hours : 51/5 pound

= 13/5 × 5/51 hours per pound

= 65/255 hours per pound

= 13/51 hours per pound

#LearnWithEXO

Are the two lines parallel, perpendicular,
or neither?
y = 3x -4 and 3x +9y = 18

Answers

they are parallel. if the slopes are the same and the y intercept is different they are parallel

Prerequisites :-

1) The product of slope of two perpendicular lines is-1 .

2) The slope of two parallel lines is same .

Given two lines to us are ,

[tex] y = 3x - 4 [/tex]

This line is in slope intercept form which is [tex] y = mx + c [/tex] . Comparing to which we get ,

[tex] m_1 = 3 [/tex]

Again , the second line given to us is ,

[tex] 3x + 9y = 18 [/tex]

Convert it into slope intercept form , we have ,

[tex]\implies 3( x + 3y ) = 18 [/tex]

Divide both sides by 3 ,

[tex]\implies x + 3y = 6 [/tex]

Solve for y ,

[tex]\implies y = \dfrac{-x}{3} + 2 [/tex]

On comparing to the slope intercept form ,

[tex] m_2 = \dfrac{-1}{3}[/tex]

And the product both the slopes is ,

[tex]\implies m_1 \times m_2 = \dfrac{-1}{3}\times 3 =\boxed{\red{-1}}[/tex]

Hence the given two lines are perpendicular .

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