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
Answers
Answer:
174
Step-by-step explanation:
Related Questions
WILL MARK BRAINLIEST Find the value of x in each case:
c
L, M ∈
KN
Answers
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
Determine whether each relationship below is true or false.
Answers
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
What is an expression?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
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Beck uses 25 robux to buy 3 spins on a game she likes, she spends 8 thousand robux to finally roll a good item.How much spins did she get?
Answers
Answer:
960
Step-by-step explanation:
8000/25 = 320
320 • 3 = 960
Hahaha A little help? Plss
Answers
Answer:
Step-by-step explanation:
6/58=3/29
Answer:
3/29
Step-by-step explanation:
Order the following numbers from least to greatest. Put the lowest number on the left. 50 25 0 -75
Answers
Answer:
-75 0 25 50
Step-by-step explanation:
Simplify
3(5x + 4y) + 6(y - 2x)
Answers
Answer:
3x+18y
Step-by-step explanation:
Distribute into 15x+12y+6y-12x then add like terms.
Write the equation in slope intercept form. -4x + 4y = 16
Answers
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
$182 at 6% simple interest for 4 years.
Find the interest earned on the account
Answers
The number of feet it takes for a car traveling at x miles per hour to stop on dry, level concrete is given by the polynomial 0.06x2+1.1x. Find the stopping distance, in feet, when x=40 miles per hour.
Answers
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.
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. How many gallons of water should her new fish tank hold? O A. A. 15 gallons B. 35 gallons OC. 60 gallons D. 80 gallons E. 95 gallons
Answers
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.
Calculation of the number of 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
A statistics student at a small liberal arts college who is curious about the relationship between the amount of time students at his college spend on social networking sites and their performance at school decides to conduct a survey. Four research strategies for collecting data are described below. In each, name the sampling method proposed and any bias you might expect. Strategy 1: He obtains a list of the 1500 students at the college. He chooses a random number k between 1 and 15 and then samples that person and every kth person on the list. He emails the survey to each of the people in the sample and asks them to complete it by next Friday
1. What is the sampling method?
A. Simple random sampling
B. Convenience sampling
C. Cluster sampling
D. Systematic sampling
E. Stratified sampling
2. What type of bias would you expect? (check all that apply)
A. No bias in this survey
B. Response bias
C. Selection bias
D. Nonresponse bias Strategy
2: He gives out the survey only to his friends, and makes sure each one of them fills out the survey
3. What is the sampling method?
A. Simple random sampling
B. Convenience sampling
C. Cluster sampling
D. Systematic sampling
E. Stratified sampling
4. What type of bias would you expect? (check all that apply)
A. Selection bias
B. Nonresponse bias
C. No bias in this survey
D. Response bias 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
5. What is the sampling m ethod?
A. Stratified sampling
B. Cluster sampling
C. Simple random sampling
D. Convenience sampling
E. Systematic sampling
6. What type of bias would you expect? (check all that apply)
A. Response bias
B. Nonresponse bias
C. No bias in this survey
D. Selection blas
7. Which strategy will give him the most representative sample of students at his college?
A. Strategy 1
B. Strategy 2
C. Strategy 3
Answers
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.
10 yd
4 yd
What is the area of the shaded portion to the nearest hundredth? Enter the answer in the box.
square yards
What is the answer of the green portion?
Answers
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.
You took a trip to the mountains and traveled 486.It took you 9 hours and 18 gallons of gas to make the trip. The total cost you paid for was $59.94
Answers
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:
when your cousin was born, she was 21 4/5 inches long. when your friends was born he was 21 3/4 inches long. who was longer at birth? how much longer?
Answers
cousin
1/20 inches
Step-by-step explanation: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 !
Find all integer solutions to the equation 91x + 329y = 49.
Answers
Answer:
dont waste points get wolfframAlpha
Devin brought his snail collection to school. He has 10 snails. How could he put them into 2 tanks so two classes could see them?
Answers
Answer: Put 5 in each tank
Step-by-step explanation:
In the year 2004, a survey was undertaken to find whether citizens of a certain political party supported their party's candidate for governor. In a sample of 300 citizens of this party, 95% of them expressed support for their party's candidate. A similar survey was conducted four years later and showed that 91% of a sample of 350 citizens of this party expressed support for their party's candidate. Construct a 95% confidence interval for the difference in population proportions of citizens of this party who supported their gubernatorial candidate in 2004 and citizens of this party who supported their gubernatorial candidate four years later. Assume that random samples are obtained and the samples are independent. (Round your answers to three decimal places.) z0.10 z0.05 z0.025 z0.01 z0.005 1.282 1.645 1.960 2.326 2.576
Answers
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).
Which is an equation of the line with slope 2 that passes through (3, 1)? Ay-1 = 2(x-3) By + 1 = 2(x + 3) Cy-3 = 2(x - 1) Dy- 3 = (x - 2)
Answers
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
Fill in the value which would complete the square:
X^2 + 10x +____
Answers
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
definition of the difference quotient of a function
Answers
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.
Which of the following statements about developing a personal fitness program is NOT true?
A. When developing a personal fitness program, it is important to implement strategies that will help
maintain the program as well as give it a successful start.
B. Personal factors such as age, health concerns, and likes are important to consider when
developing a personal fitness program.
C. The starting skill level of the physical activities included in a personal fitness program should be
determined from other individuals' fitness programs.
D. The FITT principle should be used when developing a personal fitness program.
Answers
Answer:
C.
Step-by-step explanation:
(30 points!)
determine which lines are parallel??
Answers
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.
Simplify the following equation. 4x + 2 = 8x - 5
Answers
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
Please help me I need it right now
Answers
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
Please help on this I’m confused
Answers
Answer:
Side A is 7
Side B is 15
Step-by-step explanation:
what is -3(2u-3w-4)
please answerr
Answers
Answer:
-6u +9 w +12
Step-by-step explanation:
Which of the following functions is graphed below?
Answers
Find the graph that matches the equation below.
y=-1/3x-1
Answers
Answer:
A
Step-by-step explanation:
what is the solution for the following equation? 3(a-7)=14-4a
Answers
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
• Number of psychology textbooks sold: The number is not correct
A textbook store sold a combined total of 334 biology and psychology textbooks in a week. The number of biology textbooks sold was 84 more than the number
of psychology textbooks sold. How many textbooks of each type were sold?
Answers
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! :)