Consider the figure below. Line FG is parallel to line JK.
Part A:Solve for a justify your answer
Part B:Determine m< FNT
Part C:Determine m

Answer:

280 minutes.

Step-by-step explanation:

112/14=8

8*35=280

Answer:

11/18

Step-by-step explanation:

4/9 + 1/6

Get a common denominator of 18

4/9 * 2/2 = 8/18

1/6 * 3/3 = 3/18

8/18+3/18

11/18

Answer:

11/18

4/9 + 1/6

Get a common denominator of 18

4/9 * 2/2 = 8/18

1/6 * 3/3 = 3/18

8/18+3/18

11/18

ez

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

trapezoid area:

[tex]A=\frac{1}{2} (b_1+b_1)(h)\\A=\frac{1}{2} (4+8)(3)\\A=18[/tex]

Answer:

15:2 or 15 to 2

Step-by-step explanation:

They are asking for a ratio based on how many chaperones per student (in this case 15 students) In other words 15 students for every 2 chaperones.

Answer:

(x+25)(x-30)

Step-by-step explanation:

Answer:

$424552300

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

Simplify the following:

3/4 - 1/12

Put 3/4 - 1/12 over the common denominator 12. 3/4 - 1/12 = (3×3)/12 - 1/12:

(3×3)/12 - 1/12

3×3 = 9:

9/12 - 1/12

9/12 - 1/12 = (9 - 1)/12:

(9 - 1)/12

9 - 1 = 8:

8/12

The gcd of 8 and 12 is 4, so 8/12 = (4×2)/(4×3) = 4/4×2/3 = 2/3:

Answer:  2/3

Answer:

x = 15

Step-by-step explanation:

The definition of alternate interior angles means that both of these labeled angles will be equal. Therefore, 60 = (3x + 15)

60 = 3x + 15

Divide this by 3 on both sides

20 = x + 5

Subtract 5 from both sides

15 = x or x = 15

Answer:

Its 2 on the x axis

Step-by-step explanation:

Answer:

49:52

Step-by-step explanation:

Given that:

Total number of contacts on phone = 52

Family members in phone book : dad, mom, brother

Total number of family members = 3

Hence, non family members = 52 - 3 = 49

Number of family members to total phone contact

Selecting a contact that is not a family member :

49 : 52

Answer:

the answer is 49:3 :)

Step-by-step explanation:

ANSWER:

$6

ExPLANATION:

Step 1:

36.75 × 4 = 147

Step 2:

51 × 3 = 153

Step 3:

153 - 147 = 6

The group of 12 students will save $6 by visiting the science center instead of the Zoo.

Science center fee :

Zoo Fee :

The difference in the total amount spent :

Therefore, the group will save $6 by visiting the science center.

Learn more : https://brainly.com/question/18109354

Answer: It's 129°

Step-by-step explanation: Because we know x and 51 are supplementary angles (add up to 180), We can do x + 51 = 180, to figure out that x is equal to 129°.

Hope this helps :)

Answer:

give more details

Step-by-step explanation:

Answer:

80 - 12 - 5f

Step-by-step explanation:

You have a total of eighty seeds in all.

Minus the twelve seeds Demi planted.

The number of friends she gave seeds to is unclear.

To find out how many seeds she gave you'd have to

multiply five by the number of friends.

It's is all being subtracted from the total.

Hope this helps. ;)

Step-by-step explanation:

Consider two points on a curve, (xᵢ, yᵢ) and (xᵢ₊₁, yᵢ₊₁).  The distance between them can be found with distance formula:

d = √((xᵢ₊₁ − xᵢ)² + (yᵢ₊₁ − yᵢ)²)

d = √((Δx)² + (Δy)²)

Factor out Δx:

d = √(1 + (Δy/Δx)²) Δx

Adding up the distances from i=1 to i=n, the total arc length can be approximated as:

s ≈ ∑ᵢ₌₁ⁿ √(1 + (Δy/Δx)²) Δx

Taking the limit as n approaches infinity, we get the exact value of s:

s = lim(n→∞) ∑ᵢ₌₁ⁿ √(1 + (Δy/Δx)²) Δx

Which can be written as a definite integral:

s = ∫ₐᵇ √(1 + (dy/dx)²) dx

Answer:

-2

Step-by-step explanation:

Answer:

How heavy is a full grown black bear?

2-3 feet at the shoulders and weights average 150 -300 pounds, with females smaller than males; some male bears weighing 700-800 pounds have been documented.

Step-by-step explanation:

HOPE THIS HELPED ✨

The weight difference between a female black bear and a female key deer is 80 or lower.

a female black bear can weight up to 180 pounds while a female key deer can weight up to 100 pounds.

the weight difference between a male black bear and a male key deer is 510 pounds.

a male black bear can weigh up to 660 punds while a male key deer can weigh up to 150 pounds.

Answer:

Depending on what form you want it in:

Exact Form:

41/24

Decimal Form:

1.708  3

.. (3 is infinite)

Mixed Number Form:

1  17/24 (The 1 in front is supposed to be a whole)

Step-by-step explanation:

5/6 + 7/8

First, you must make both denominators equal a same number.

6 x _ = 8 x _

The same number but also the least is least common denominator is 24.

4 (5/6) + (7/8) 3

20/24 + 21/24

= 41/24

Answer:

10000

Step-by-step explanation:

10*10=100

10*10=100

100*100=10000

Answer:

Step-by-step explanation:

[tex]10^{4}[/tex]

=> 10, 4 times

=> 10 * 10 * 10 * 10

=> 10000

=>10,000

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Thank You!!

Answer:

you will know the answer by fractioning the 35and 55 then mutipy by 15 once you do that then it is the anwer you should get 5927.487

Step-by-step explanation:

Complete Question

Answer:

The  probability is  Right- tailed

The mean overtime hours for the sample will be at least 9.3 hours is

    [tex]P(X \ge 9.3 ) = 0.3333[/tex]

Step-by-step explanation:

From the question we are told that

    The mean is  [tex]\mu = 9.2 \ hours[/tex]

    The  standard deviation is  [tex]\sigma = 1.6 \ hours[/tex]

    The sample size is n  =  49

      The sample  mean is  [tex]\= x = 9.3[/tex]

Generally the standard error of the mean is mathematically represented as

      [tex]\sigma_{\= x} = \frac{\sigma }{\sqrt{n} }[/tex]

=>   [tex]\sigma_{\= x} = \frac{1.6 }{\sqrt{49} }[/tex]

=>    [tex]\sigma_{\= x} = 0.22857[/tex]

This is a right -tailed probability because the sample mean is greater than the        population mean

 Generally  the probability that the mean overtime hours for the sample will be at least 9.3 hours is mathematically represented as  

           [tex]P(X \ge 9.3 ) =1 - P(X < 9.3 )[/tex]

So

           [tex]P(X < 9.3 ) = P( \frac{ X - \mu }{ \sigma_{\= x }} < \frac{ 9.3 - 9.2 }{ 0.22857} )[/tex]

Here   [tex]\frac{X - \mu }{\sigma _{\= x}} = Z[/tex]

           [tex]P(X < 9.3 ) = P( Z < 0.43750)[/tex]

From the z-table  

            [tex]P(X < 9.3 ) = P( Z < 0.43750) = 0.667[/tex]

So

   [tex]P(X \ge 9.3 ) =1 - 0.667[/tex]

   [tex]P(X \ge 9.3 ) = 0.3333[/tex]

Answer:

i think the answer is -5

Step-by-step explanation:

insert -4 where the x is in the equation and solve

Answer:

y+9=1/5(x+4)

Step-by-step explanation:

plug into the formula

Answer:

48 is the answer

Step-by-step explanation:

we have to do like that

we have to subtract 64 by 16

because every side was increased

by 2 so we have to subtract and you

will get answer as 48

please follow me

Answer: 51.75$

Step-by-step explanation: First, turn 15% into the decimal 0.15, then multiply by 45, which equals 6.75. Now add 6.75, which is the amount the waitress got tipped to 45, which equals 51.75$ total.