Find the equation of the line.
Use exact numbers.
y= x+

The perpendicular bisector theorem gives the statements that ensures

that [tex]\overleftrightarrow{FG}[/tex] and [tex]\overleftrightarrow{AB}[/tex] are perpendicular.

The two statements if true that guarantee  [tex]\overleftrightarrow{FG}[/tex] is perpendicular to line [tex]\overleftrightarrow{AB}[/tex] are;

Reasons:

The given diagram is the construction of the line [tex]\mathbf{\overleftrightarrow{FG}}[/tex] perpendicular to line [tex]\mathbf{\overleftrightarrow{AB}}[/tex].

Required:

The two statements that guarantee that  [tex]\overleftrightarrow{FG}[/tex] is perpendicular to line [tex]\overleftrightarrow{AB}[/tex].

Solution:

From the point C arcs E and D are drawn to cross line [tex]\overleftrightarrow{AB}[/tex], therefore;

[tex]\overline{CE} = \mathbf{\overline{CD}}[/tex] arcs drawn from the same radius.

[tex]\overleftrightarrow{FG}[/tex] is perpendicular to line [tex]\overleftrightarrow{AB}[/tex], given.

Therefore;

[tex]\overline{DF} = \overline{EF}[/tex]  by perpendicular bisector theorem.

Learn more about the perpendicular bisector theorem here:

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Answer:

indeed

Step-by-step explanation:

3+3=6

Answer:

[143.61, 156.39]

Step-by-step explanation:

Because the population standard deviation is not available AND the sample size is less than 31, we can use a t procedure here.

Plug these values into your calculator:

Sample mean = 150

Sample size = 16

Standard deviation = 12

Confidence level = 95% = 0.95

and get [143.61, 156.39] as your confidence interval

Joshua: 143.826 grams

Phoebe: 144 grams

Oliver: Unsure, but for sure what shouldn't happen

Joshua (advantage): It is actually good to include decimals into your information because more information helps assist in experiments with proper results but you must also not include unnessessary information

Phoebe (disadvantage): You should include decimals in information, especially relating to scale weighing and her method lacks decimals

Oliver (disadvantage): This experiment already involves grams and therefore you shouldn't change the form of measurement unless it requests for it to happen

Joshua: 143.826 grams (advantageous)

Phoebe: 144 grams (Disadvantage)

Oliver: Disadvantage

Changing a number's digits so that it approximates a value is known as rounding a number. The provided number is more simply represented by this value. For instance, 700,000 rather than 698,869 could be used to express a town's population.

Joshua:

Although it is beneficial to add decimals in your data since more information aids in experiments producing accurate results, you should avoid including unnecessary information.

Phoebe's method lacks decimals, which is a drawback because it pertains to scale weighing and you should include them in information.

Oliver : As this experiment already uses grammes, you shouldn't modify the units of measurement until specifically instructed to do so.

Learn more about Rounding off here:

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18 / 44 = 9 / 22

There are 44 nuts in the bag, and 18 of them are peanuts. If you simplify the fraction, you get 9/22 chance of getting a peanut.

Answer:

9 / 22

Step-by-step explanation:

combine 14, 12, and 18

=44

then, divide 18 by 44

then you get 9 / 22

Answer:

-6

Step-by-step explanation:

f(x)=2x^2+8x

f(-1)=2(-1)^2+8(-1)

f(-1)=2(-1)(-1)-8

f(-1)=2(1)-8

f(-1)=2-8

f(-1)=-6

The answer to the question is

D)  ($9. 60, $9. 84)

Answer:

[tex]x=\frac{3+\sqrt{6} }{3}, \frac{3-\sqrt{6} }{3}[/tex]

Step-by-step explanation:

Let's see

[tex]\\ \rm\rightarrowtail 3x^2-6x+1=0[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{6\pm \sqrt{36-12}}{6}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{6\pm \sqrt{24}}{6}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{6\pm 2\sqrt{3}}{6}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{3+\sqrt{3}}{6}[/tex]

Answer:

6 hours

Step-by-step explanation:

FInding Holly's time of Ella's

Ella = [tex]1 \frac{3}{5}[/tex]

Holly = [tex]\frac{3}{4} \:\mathrm{of}\:1 \frac{3}{5}[/tex]

Solve:

[tex]\frac{3}{4} \:\mathrm{of}\:1 \frac{3}{5}[/tex]

[tex]= \frac{3}{4} \times1 \frac{3}{5}[/tex]

[tex]1\frac{3}{5} =\frac{8}{5}[/tex]

[tex]\frac{3}{4}\times \frac{8}{5}=\frac{24}{20}[/tex]

[tex]\frac{24}{20} =\frac{6}{5}[/tex]

Now, we can find how many hours it takes holly to complete 5 paintings:

[tex]\frac{6}{5}\times5[/tex]

[tex]=6[/tex]

Therefore, it will take Holly 6 hours to complete 5 paintings.

Answer:

x > 3

Step-by-step explanation:

And then, I believe you just need to solve that answer. But I'm not sure tho

Answer:

C)

Step-by-step explanation:

Because Its equivalent

Answer:

B

Step-by-step explanation:

Answer:

it is -2

Step-by-step explanation:

i got it right

Answer:

24/35

Step-by-step explanation:

Hope this helps!:)

Answer:

No, because (6, 4) is on the line

Step-by-step explanation:

y>-1/2(x)+7

4>-1/2(6)+7

4>-3+7

4>4

Answer:

462,000

Step-by-step explanation:

300,000+150,000+12,000=462,000

Answer:

Step-by-step explanation:

Answer:

1. veinte (10 * 2 = 20)  

2.  tres ( 12 ÷ 4 = 3)

3. veinte (18 + 2= 20)

4.  diez ( 15 - 5 = 10)

5. once (14 - 3 = 11)

Answer:

  30 units

Step-by-step explanation:

A graph can help you see the lengths of the sides. This is a right triangle, so the length of the hypotenuse is found using the Pythagorean theorem:

  5² +12² = b² = 169

  b = √169 = 13

The perimeter is 5+12+13 = 30 units.

The recursive equation for f(n) will be:

f(n) = 2.75 + 4.75n, n > 0

The cost of the shoe rental = $2.75

The cost of 1 game = $2.75

The cost if n games = 4.75n

The total cost of shoe rental and n games = Cost of the shoe rental + cost of n games

Let the total cost of shoe rental and n games be f(n)

f(n) = 2.75 + 4.75n

Since at least 1 game will be played,

the recursive equation for f(n) will be:

f(n) = 2.75 + 4.75n, n > 0

Learn more on recursive functions here: https://brainly.com/question/11316313

Solving steps:-

5x+3y=−4

y−2x=6

-->To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

5x+3y=−4,−2x+y=6

-->Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.

5x+3y=−4

-->Subtract 3y from both sides of the equation.

5x=−3y−4

--> Divide both sides by 5.

x = 1/5(-3y - 4)

--> Multiply 1/5 −3y−4.

x = -3/5y - 4/5

--> Substitute -3y - 4/ 5 for x n the other equation, −2x+y=6.

-2 (-3/5y - 4/5) + y = 6

--> Multiply −2 times -3y - 4/ 5

6/5y + 8/5 + y = 6

--> Add 6y/5 to y

11/5y + 8/5 = 6

--> Subtract 8/5 from both sides of the equation.

11/5y = 22/5

--> Divide both sides of the equation by 11/5, which is the same as multiplying both sides by the reciprocal of the fraction.

y = 2

--> Substitute 2 for y in x= -3/5y - 4/5. Because the resulting equation contains only one variable, you can solve for x directly.

x = -3/5 x 2 - 4/5

--> Multiply -3/5 times 2.

x = -6 - 4/ 5

--> Add -4/5 to -6/5 by finding a common denominator and adding the numerators. Then reduce the fraction to lowest terms if possible.

x = -2

--> The equation is now solved.

Answer : x = -2, y = 2

Explanation : If you think this answer is good, please give "Brainliest" or rate/heart my answer. Hope this helps you.

Answer: The fifth step in the accounting cycle is the preparation of trial balance. Further, the sixth step in an accounting cycle is the Journaling adjustments made in the Worksheet (Trial Balance).

Step-by-step explanation:

The steps of the cycle in this course are as follows:

1. Analyze Financial Transactions

2. Journal Transactions

3. Post Journal Entries to Ledger

4. Prepare Trial Balance

5. Make Adjustments to Trial Balance

6. Journal Adjustments and Create Adjusted Trial Balance

7. Prepare Financial Statement

8. Journal and Post Closing Entries

9. Prepare Posting Closing Trial Balance

Accountants love to make up new words and make it complicated so they can get paid more, hence why the swapped the word 'Worksheet' with 'Trial Balance' :p

Answer:

B has a bigger circumference.

It is larger by 69.5 cm

Step-by-step explanation:

B: 3.14×5²=78.5

A: 9

Answer:

6200

Step-by-step explanation:

first find how much she would make purely based on hours worked:

8x40 = 320 dollars

next subtract this from total on her paycheck so 692-320 is 372

we know that 372 is 6% of a number so...

[tex]\frac{6}{100}[/tex] x = 372

[tex]\frac{6x}{100}[/tex] = 372

6x= 37200(100)

x=6200 $ divide by 6

so she sold $6200 worth of merchandise to earn $372 of commission

Answer:

hi the answer to your question should be 50 miles

Step-by-step explanation:

hope this helps have a great day!

Answer:

no

Step-by-step explanation:

since x=1   5-2<4 so then 3<4 so no Im not sure

Answer:

No

Step-by-step explanation:

5-x² when x=1 is 4.

1²=1

5-1=4

4 is not less than 4 so it can't be true.