6
910
Geometric Proof #1
4x = -24
Names: statements & Reasons Bank:
C
B
x + 18
3x + 25
Division P.O.E
4x + 43 = 19
Given: AC = 19
Prove: x = -6
gure not to sale
4x = 62
Statements
Reasons
Given
Segment Addition
Postulate
AC = 19
AB = x + 18
Definition of Midpoint
Definition of Congruent
Segments
Given
BC = 3x + 25
Given
Addition P.O.E.
x + 18 + 3x + 25 = 19
AB + BC = AC
AB = BC
Substitution
Combine Like Terms
Subtraction P.O.E.
x = -6
Click to add speaker notes

Answer:

-6u +9 w +12

Step-by-step explanation:

Answer:

209 biology books and 125 psychology books were sold.

Step-by-step explanation:

x = biology books y = psychology books

334 = x + y

x = y + 84

x - y = 84

y = x - 84

Using these systems of equations, we can see that (209,125) is the only possible answer. Elimination, substitution, or guess and check are all viable methods to solve this problem. I can explain further if needed! :)

Answer:

dont waste points get wolfframAlpha

Answer : The area of the shaded portion is 33.72 yd².

Step-by-step explanation :

Given:

Length of the box = 10 yd

Width of the box = 4 yd

Area of the shaded portion = Area of rectangular box - Area of half circle

First we have to calculate the area of rectangular box.

Area of rectangular box = Length of the box × Width of the box

Area of rectangular box = 10 yd × 4 yd

Area of rectangular box = 40 yd²

Now we have to calculate the area of half circle.

As we know that:

Area of circle = π × r²

where,

r = radius of circle

Area of half circle = [tex]\frac{\pi \times r^2}{2}[/tex]

Radius of circle = [tex]\frac{4yd}{2}=2yd[/tex]

Area of half circle = [tex]\frac{3.14 \times (2yd)^2}{2}[/tex]

Area of half circle = 6.28 yd²

Now we have to calculate the area of the shaded portion.

Area of the shaded portion = Area of rectangular box - Area of half circle

Area of the shaded portion =  40 yd² - 6.28 yd²

Area of the shaded portion =  33.72 yd²

Therefore, the area of the shaded portion is 33.72 yd².

Answer:

-75 0 25 50

Step-by-step explanation:

Answer:

Side A is 7

Side B is 15

Step-by-step explanation:

Answer:

3x+18y

Step-by-step explanation:

Distribute into 15x+12y+6y-12x then add like terms.

Answer:

Strategy 1:

I) D: Systematic Sampling

II) D: non - response bias.

Strategy 2:

I) B: Convenience Sampling

II) A: Selective bias

Strategy 3:

I) B: Cluster Sampling

II) B: non - response bias.

7) A: Strategy 1

Step-by-step explanation:

For Strategy 1,

I) the sampling method is systematic sampling. This is because Systematic sampling is a kind of method for probability sampling whereby sample members from a larger population will be selected according to a random starting point but it will be for a fixed or periodic interval.

Now, we were told that he chooses a random number k between 1 and 15 and then samples that person and every kth person on the list. This corresponds to a random starting point as shown in systematic sampling above.

We are also told that he emails the survey to each of the people in the sample and asks them to complete it by next Friday. This corresponds to a fixed time interval in the definition too. Thus, it is proven to be systematic sampling.

II) The bias here will be Nonresponse bias Strategy. This is because all the students may not respond to the survey as it is possible that the students may forget to fill the survey or may ignore it or may be too busy to reply. Thus, it is a non - response bias.

For Strategy 2: He gives out the survey only to his friends, and makes sure each one of them fills out the survey

I) The sampling method here is convenience sampling which can be defined as a sampling method where the sampling units are selected in line with how convenient it is for the researcher. In this case he has given it to only his friends and made sure they filled. Which means he did it with a convenience bias.

II) Because he gave it to only his friends, he may not have a true reflection of the research as it was inky his friends instead of being random where he can have diverse views that can truly represent the population. Thus, it is a selection bias.

For strategy 3;He randomly chooses 3 floors of the largest dorm on campus and distributes a paper survey to each resident on those floors. He places a box in the common room of the dorm to collect the completed surveys.

I) The type of sampling used here is cluster sampling which is defined as a sampling method where the population is divided into clusters and random sample picked from each cluster. In this case, the population has been divided into 3 floors and he randomly distributed to residents on each of those floors. Thus, it is an example of Cluster sampling

II) The bias here will be non - response bias because the could choose not to respond to the paper survey for various reasons and thus not all will respond. This leads to a non - response bias.

7) Strategy 1 will give the most representative sample of students at his college because he selected from the entire list of 1500 students.

cousin

1/20 inches

Hi there !

cousin

21 4/5 = (21×5+4)/5 = 109/5

friend

21 3/4 = (21×4+3)/4 = 78/4

lcm(4 ; 5) = 20

⁴⁾109/5 = 436/20 (cousin)

⁵⁾87/4 = 435/20 (friend)

436/20 > 435/20

cousin > friend

436/20 - 435/20 = 1/20 inches longer (cousin)

Good luck !

Answer:

Step-by-step explanation:

The difference quotient is a measure of the average rate of change of the function over an interval (in this case, an interval of length h). The limit of the difference quotient (i.e., the derivative) is thus the instantaneous rate of change.

Answer: Put 5 in each tank

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Answer:

a= 5

Step-by-step explanation:

3 (a-7)= 14-4a -Remove Parentheses

3a-21=14-4a -Move the terms

3a+4a=14+21 -Collect like terms

7a=35 -Divide both sides

a=5 - Solution

Answer:

1.75= X

Step-by-step explanation:

4x+2=8x-5

-4x     -4x

2=4x-5

+5      +5

7=4x

divide by 4

1.75=x

Mark brainilst plzzz

Answer:

25

Step-by-step explanation:

(x+5)(x+5)=x(x+5)5(x+5)

=x^2+5x+5x+25

=x^2+10x+25

i hope it is clear

Answer:

b

Step-by-step explanation:

75 percent of 20 is 15 and 100 percent of 20 is 20

The number of gallons of water should her new fish tank hold is to be considered as the option b. 35 gallons.

Since

Allisa needs a new fish tank. Her new fish tank must hold 175% of the water that her old one holds.

The old fish tank holds 20 gallons of water.

So we can say that

= 75% of 20 + 100% of 20

= 15 + 20

= 35

Hence, the option b is correct.

Learn more about number here: https://brainly.com/question/18084805

Answer:

A

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 2 and (a, b) = (3, 1 ), thus

y - 1 = 2(x - 3) → A

The equation of the line with slope 2 that passes through (3, 1) is [tex](y-1)=2(x-3)[/tex] and this can be determined by using the one-point slope form.

Given :

The line with slope 2 that passes through (3, 1).

The following steps can be used in order to determine the equation of the line with slope 2 that passes through (3, 1):

Step 1 - The one-point form of the line can be used in order to determine the equation of the line with slope 2 that passes through (3, 1).

Step 2 - The equation that shows one-point form is given below:

[tex](y-y_1)=m(x-x_1)[/tex]

where m is the slope and [tex](x_1,y_1)[/tex] is the point on the line.

Step 3 - Substitute the values of the known terms in the above equation.

[tex](y-1)=2(x-3)[/tex]

Therefore, the correct option is A).

For more information, refer to the link given below:

https://brainly.com/question/11897796

Answer:

A

Step-by-step explanation:

Answer:

The answer is 140

Step-by-step explanation:

We are asked to find the stopping distance, in feet, when x=40 miles per hour. We will substitute this into the polynomial expression 0.06x2+1.1x, and then simplify using the order of operations.

0.06(40)2+1.1(40)=96+44=140

When driving at x=40 miles per hour, the stopping distance is 140ft.

Answer:

Average speed on the trip (54 miles per gallon)

Car mileage on trip was 27 miles per gallon

Unit price of gas paid ( $3.33)

Step-by-step explanation:

Answer:

y = x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

- 4x + 4y = 16 ( add 4x to both sides )

4y = 4x + 16 ( divide all terms by 4 )

y = x + 4 ← in slope- intercept form

Answer:

1. True

2. False

3. True

4. False

5. True

Step-by-step explanation:

For 1, you want to see the reduced fraction of 2/6 so you want to divide 2/6 by 2, it is 1/3 and 2/3 is greater than 1/3.

For 2, you want to multiply 5 by 2. and then do the same thing for 6, 6 x 2. Now you want to see if they match.

For 3, you want to make both fractions into decimals so 1/8 is 0.125 and 1/4 is 0.25 and see which is larger.

For 4, you want to see if you can simplify any of them. 2/4 can be simplifed to 1/2. So, it is false because you can see that 2/4 is the same as 1/2

For 5, you want to divide both fractions by 2, so 4/10 would be 2/5 and 4/6 would be 2/3. So it is true.

The answers for the given expressions are given below,

1. True

2. False

3. True

4. False

5. True

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

For 1, you want to see the reduced fraction of 2/6 so you want to divide 2/6 by 2, it is 1/3, and 2/3 is greater than 1/3.

For 2, you want to multiply 5 by 2. and then do the same thing for 6, 6 x 2. Now you want to see if they match.

For 3, you want to make both fractions into decimals so 1/8 is 0.125 and 1/4 is 0.25, and see which is larger.

For 4, you want to see if you can simplify any of them. 2/4 can be simplified to 1/2. So, it is false because you can see that 2/4 is the same as 1/2

For 5, you want to divide both fractions by 2, so 4/10 would be 2/5, and 4/6 would be 2/3. So it is true.

To know more about an expression follow

https://brainly.com/question/13780981

#SPJ2

Answer: x = 4

Step-by-step explanation:

The cube root of 64 is 4

Answer: x=4

Step-by-step explanation:

4x4=16. 16x4=64

Answer:

Step-by-step explanation:

6/58=3/29

Answer:

3/29

Step-by-step explanation:

Answer:

960

Step-by-step explanation:

8000/25 = 320

320 • 3 = 960

Step-by-step explanation:

The sum of interior angles of a triangle is 180 degree

x + (180 - 3x ) + ( 180 - 2x - 72 ) = 180

x + 3x - 2x + 360 - 72 = 180

2x + 288 = 180

2x = 108

x = 54

L = 180 - 3x = 180 - 54*3 = 18

x + L + M = 180

54+18+M = 180

M = 108

Answer:

looks like the parallel lines are "l" and "n"

Step-by-step explanation:

when two lines are parallel, they should be across from each other going the same way. For example: / / , or \ \  sometimes even on top of each other. It can't be line "m" because it seems a little slanted. Parallel lines have to be the same length and same size. It can't be line "t" because the line is going in a different direction.

Answer:

The 95% confidence interval for the difference in population proportions is (0.001, 0.079).

Step-by-step explanation:

The (1 - α)% confidence interval for the difference in population proportions is:

[tex]CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha /2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}[/tex]

The information provided is as follows:

[tex]\hat p_{1}=0.95\\\hat p_{2}=0.91\\n_{1}=300\\n_{2}=350\\[/tex]

The critical value of z for 95% confidence level is 1.96.

Compute the 95% confidence interval for the difference in population proportions as follows:

[tex]CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha /2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}[/tex]

     [tex]=(0.95-0.91)\pm 1.96\times\sqrt{\frac{0.95(1-0.95)}{300}+\frac{0.91(1-0.91)}{350}}\\\\=0.04\pm 0.0388\\\\=(0.0012, 0.0788)\\\\\approx (0.001, 0.079)[/tex]

Thus, the 95% confidence interval for the difference in population proportions is (0.001, 0.079).