Which of the following is defined by a line divides two sides of a triangle
proportionally, then it is parallel to the third?
O
A. Converse of the Triangle Proportionality Theorem
O
B. Triangle Midsegment Theorem
O
C. Triangle Proportionality Theorem
) D. Converse of the Triangle Midsegment Theorem

Answer:

31/30 gallons

Step-by-step explanation:

finding the lowest common denominator for all three numbers. so 1/3 becomes 10/30, 1/5 becomes 6/30, and 1/2 becomes 15/30. 10/30+6/30+15/30=31/30

Answer:31/30

Step-by-step explanation:

you have to first find a common denominator. Which in this case is 30 so then you have to multiply by the same number for both bottom and top number of the fraction. 1/3 = 10/30 1/5=6/30 1/2=15/30. Then, you just have to add JUST THE TOP NUMBERS. You get 31/30 then divide that and i will leave that last part to you. Hope this helps!

Answer:

11%

Step-by-step explanation:

The margin of error is the standard error times the critical value.

For a proportion, the standard error is:

σ = √(pq / n)

σ = √(0.132 × 0.868 / 1105)

σ = 0.0102

Since n is large, we can approximate the critical value using a normal distribution.  For 99% confidence, the critical value is 2.576.

The margin of error is:

ME = 0.0102 × 2.576

ME = 0.026

The confidence interval is 0.132 ± 0.026.  So the lower limit is 0.106, or 10.6%.  Rounded to the nearest whole number, that's 11%.

The answer is n= -4. It shows the work to get -4

Answer:

I don't know but I have the equations. (also Im going to assume you know a bit of trig)

Step-by-step explanation:

You have to use law of cosines.

a=11

b=15

take these equations and plug in the variables

a^2=b^2+c^2-2bc cos(a)

b^2=a^2+c^2-2ac cos (b)

c^2=a^2+b^2-2ab cos(c)

you will get something along the lines of

something=cos a

something=cos b

something=cos c

then in a calculator you push inverse cos or cos-1(x) and input the "something" into as x and that answer should be one angle, and repeat it for the rest of the three values.

Answer:

5 days

Step-by-step explanation:

First subtract the flat fee so that you know you just have the price of the days

225-75

150       Then divide by 30, the day rate so you know how many days it was

150/30= 5

Selena had the car for 5 days

First, subtract 24 from 31.

31 - 24 = 7

Now divide 7 by 2.

7 ÷ 2 = 3.5

Plug 3.5 into the equation to check.

24 + (3.5 × 2) = 31

x = 3.5

Final answer:

The student needs to find the missing number 'b' in a data set, given that the range is 25. Since we know the smallest value is 1, adding the range to that value gives us the largest possible number, which in this case is 26. Therefore, 'b' must be 26 to achieve the specified range.

Explanation:

The student is asking about finding a missing value in a set of numbers given the range of the data set. To find the value of b, we must remember the definition of range: Range is the difference between the largest and smallest values in a set.

With the knowledge that the range is 25, and having the numbers 14, 14, 16, and 1, we identify 1 as the smallest value.

If we add the range to the smallest number (1 + 25), we get the largest number the set could contain, which is 26.

Since the other numbers in the set are all smaller than 26, b must equal 26 for the range to be 25.

Answer: she is jogging 2.25 i think

Step-by-step explanation:

im sorry im not sure i just divided 135 by 60 but i dont think its right:(

Answer:

warmer

Step-by-step explanation:

-11 is closer to zero the -15

Answer:

warmer

Step-by-step explanation:

-15 is colder.

Answer:

900

Step-by-step explanation:

ANSWER: y

=

125

+

900

50

=

$

20.5

Step-by-step explanation: Cost of each puppet =  

$

20.5

Explanation:

The number of puppets :  

50

-------(given)

Let cost of each puppet be  

y

So, total cost will be  

50

y

He brought all string needed for  

$

125

He needs to invest  

$

18

for EACH puppet for the remaining material, i.e.

18

×

50

=

$

900

is the total extra investment to be done.

So total cost will be :  

125

+

900

=

50

y

#therefore cost of each puppet will be :

Answer:

center(8x,12y) radius 3

Step-by-step explanation:

If i am doing this correct

Answer:

1/4 and 2/12

Step-by-step explanation:

If you mulitply both the numerater and denominator by 2 (or any number) it will be equivelent.

1/6 is equivelient to 2/12, 3/18, etc.

However, if you divide 3/12, you get 0.25, which is equivelent to 1/4

Solution:

Given system of equations are:

[tex]\frac{1}{4}x + \frac{1}{8}y =2 ---------- eqn\ 1\\\\\frac{1}{3}x + \frac{1}{2}y = 4 -------------- eqn\ 2[/tex]

We have to find value of y

From eqn 1,

[tex]\frac{1}{4}x + \frac{1}{8}y =2 \\\\2x + y = 2 \times 8\\\\2x + y = 16 ---- eqn\ 3[/tex]

From eqn 2,

[tex]\frac{1}{3}x + \frac{1}{2}y = 4\\\\2x + 3y = 4 \times 6\\\\2x + 3y = 24 ------ eqn\ 4[/tex]

Subtract eqn 3 from eqn 4

2x + 3y = 24

2x + y = 16

( - ) -----------------

2y = 8

y = 4

Thus value of y is 4

Answer:

1900 ft

Step-by-step explanation:

To find the area where roses will be planted, find the area of the 2 triangles. 60×38 divided by 2 = 1140ft. 40×38 divided by 2 = 760. 760+1140=1900

Answer:

345.

Step-by-step explanation:

Just divide 407.10 by 1.18 and you'll get your answer.

Answer:

the answer is d.) the runner stopped

Step-by-step explanation:

because the distance is staying the same but the time is changing wich means the runner isn't moving for a period of time.

Answer:   x + 4

                5x

Step-by-step explanation:

The first one is "x + 4" because you are adding 4 to the 1st number

The second one is "5x" because you are multiplying 5 to the 2nd number.

Answer:

19.998

Step-by-step explanation:

Take the number and decrease (subtract)  by 9.1% of the original number

22 - 22*9.1%

Change the percent to decimal form

22 - 22*.091

22 -2.002

19.998

Final answer:

The result when the number 22 is decreased by 9.1% is 20.0, after calculating 9.1% of 22, which is 2.002, and subtracting it from 22 and rounding to the nearest tenths place.

Explanation:

To find the result when the number 22 is decreased by 9.1%, you can use the following steps:

Calculate the decrease amount by finding 9.1% of 22: (9.1/100) × 22.

Subtract the decrease amount from the original number: 22 - (9.1% of 22).

Using a calculator, the decrease amount is:
(0.091) × 22 = 2.002.

Then subtract this from the original number:
22 - 2.002 = 19.998.

However, we need to report our final answer to the nearest tenths place since that is the precision of the number 9.1%. Therefore, we round 19.998 to 20.0 to reflect the proper significant figures.

So, the result when the number 22 is decreased by 9.1% is 20.0.

Answer:

Note from question, Let K be any integer.  Integer = 1

θ = πk

  θ = 3.142 * 1

  θ = 3.142 in three decimal places

θ = sin⁻¹ (2/3) + 2kπ

   θ = sin⁻¹0.667 + 2*1*3.142

   θ = 0.718 + 6.284

   θ = 7.002 in three decimal places

∴ 7.002 , 3.142

Step-by-step explanation:

Considering the equation

3 tan(θ) sin(θ) − 2 tan(θ) = 0

The objective is to solve the equation.

First solve the equation in one period.

3 tan(θ) sin(θ) − 2 tan(θ) = 0

( 3sinθ − 2 ) tanθ = 0

Therefore, 3sinθ − 2 = 0    also   tanθ = 0

            =>  sinθ = 2/3        ,        tanθ = 0

Pick the right equation.

tanθ = 0

    θ = tan⁻¹ 0

    θ = 0

Using the unit circle, the period of tangent functions is π

Then the general solution of the equation is θ = 0 + πk ==> θ = πk

Pick the left equation.

3sinθ − 2 = 0

3sinθ = 2

sinθ = 2/3

    θ = sin⁻¹ (2/3)

As the sine function has period 2π

Then the general solution is θ = sin⁻¹ (2/3) + 2kπ

The type of transformation that moves P (3,-7) to P'' (3,7) is a reflection. The point has been flipped over the x-axis.

The type of transformation which moves point

P (3,-7)

to

P'' (3,7)

is a

reflection

. It appears that point P has simply been flipped over the x-axis. The x-coordinate remains unchanged at 3, but the y-coordinate has been reflected to the opposite side of the x-axis, changing it from -7 to 7. So, a reflection over the x-axis is the correct transformation in this case. The transformation that moves point P (3,-7) to P'' (3,7) is a reflection over the x-axis. When a point is reflected in the x-axis, the y-coordinate changes sign while the x-coordinate remains the same. In this case, when the y-coordinate of P changes from -7 to 7, it means that P was reflected over the x-axis.

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Answer:

[tex]2\pi \times \: r = 150 \\ 6.2831r = 150 \\ \frac{6.2831r}{6.2831} = \frac{150}{6.2831} \\ r = 23.87cm[/tex]

Answer:

23.9

Step-by-step explanation:

circumference = Diameter · Pie

150 = X · pie

divide both sides by pie(use the accrual symbol on a calc) and you get 47.7 as the diameter then divide 47.7 by 2 and you get 23.9 as you radius

Answer:

D) 27

Step-by-step explanation:

1. add 4 on both sides to leave 4/3x by itself

2. subtract x on both sides to cancel x on the right side

3. multiply 3 ton both sides to cancel out fraction

Answer:

d(27)

Step-by-step explanation:

Answer:

the answer is 1/4

Step-by-step explanation:

1/2 *3/6=1/4

The  arc MPN is a major arc, and the length of arc MPN is 79/9π

The given parameters are:

Ф = 360 - 44

Radius, r = 5

The arc length is then calculated using:

[tex]L = \frac{\theta}{360} * 2\pi r[/tex]

So, we have:

[tex]L = \frac{360 - 44}{360} * 2\pi * 5[/tex]

[tex]L = \frac{316}{360} * 2\pi * 5[/tex]

Evaluate the product

[tex]L = \frac{3160}{360} \pi[/tex]

Divide

[tex]L = \frac{79}9 \pi[/tex]

Hence, the length of arc MPN is 79/9π

Read more about arc lengths at:

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Answer:

66.25

Step-by-step explanation:

30.50 times 2 is 61 that’s for two caps

61 times 1.086 (1 is for the amount you are actually going to pay .086 is what percent is because you have to move the decimal over two when you are changing percent to decimal) and that comes out to 66.246. you round the 4 to 5 to get to nearest cent and comes out to be 66.25

Answer: $66.25

Step-by-step explanation:

Two baseball cap at $30.5 each is $30.5 ×2 = $61

Sales tax at 8.6% = 8.6/ 100= 0.086

Sales tax = 0.086 × 61

= 5.246

Total amount to be paid = $66. 25

Answer:

A-0.5777miles

B-0.7223miles

Step-by-step explanation:

Let A be truck with 58°, B be truck with 52° elevation and C be the position of the fire. We know that the AB is 1.3 miles apart.

-Using sine rule, we find the length of AB and BC as:

[tex]\angle C=180-(58+52)=70\textdegree\\\\\frac{a}{sin \ A}=\frac{b}{sin \ B}=\frac{c}{sin \ C}\\\\\frac{1.3}{sin \ 70}=\frac{b}{sin \ 52}\\\\b=\frac{1.3 sin \ 52}{sin 70}=1.0902mi\\\\\\c=\frac{1.3 sin \ 58}{sin 70}=1.1732[/tex]

#Bisect angle C, and use sine rule again to find the lengths of bisected AB:

[tex]\frac{a}{sin \ A}=\frac{b}{sin \ B}=\frac{c}{sin \ C}\\\\\frac{1.0902}{sin \ 90}=\frac{x}{sin \ (90-58)}\\\\x=\frac{1.0902\ sin \ 32}{sin \ 90}=0.5777mi[/tex]

Truck B's position is calculated as 1.3mi-0.5777miles=0.7223miles

Hence, truck one is 0.5777miles and truck two is 0.7223 miles from the fire.

Answer:

assume an approximate value for the variable that will simplify the equation.

solve for the variable.

use the answer as the second approximate value and solve the equation again.

repeat this process until a constant value for the variable is obtained.

grusi lob ze cruz?masi pa koi foitaitua leo leone fatua fatui?

Answer: i think the answer is -22 which is A

Step-by-step explanation:

Answer:

-22

Step-by-step explanation:

I put it in decimal form so it would be like this.2.20 dived by -.10 and got -22