Answers
angle 3 = angle 6 = 60°
hope it helps...!!!
Answer:
m∠3 = 60°
m∠6 = 60°
Step-by-step explanation:
If a line intersects a set of parallel lines in the same plane at two distinct points, the alternate interior angles that are formed are congruent. This is called the "Alternate Interior Angles Theorem".
As line p intersects the set of parallel lines m and n at two distinct points, then m∠3 = m∠6 and m∠4 = m∠5
Given:
m∠3 = (7x - 10)°m∠6 = (5x + 10)°As m∠3 = m∠6, then:
⇒ 7x - 10 = 5x + 10
Add 10 to both sides:
⇒ 7x - 10 + 10 = 5x + 10 + 10
⇒ 7x = 5x + 20
Subtract 5x from both sides:
⇒ 7x - 5x = 5x + 20 - 5x
⇒ 2x = 20
Divide both sides by 2:
⇒ 2x ÷ 2 = 20 ÷ 2
⇒ x = 10
Now substitute the found value of x into one of the angle expressions:
m∠3 = 7(10) - 10
= 70 - 10
= 60°
As m∠3 = m∠6, then m∠6 = 60°
Related Questions
HELP PLEASE
A parking lot charges $7 per day to park on weekdays and $12 per day on weekends.
Jamal parked his car in this lot on 6 days last week and spent a total of $52. How many
weekdays and weekend days did Jamal park?
Answers
Answer:
4 weekdays and 2 weekends.
Step-by-step explanation:
6 days.
x = weekdays
y = weekends
7x = amount with weekdays
12y = amount with weekends
7x + 12y = 52, total
x + y = 6, amount of days
solve double variable equation
x = 6 - y, plug in to 1st equation
7(6 - y) + 12y = 52
42 - 7y + 12y = 52
5y = 10
y = 2 weekends
2 + x = 6
x = 4 weekdays
EVALUATE: -2x-24 WHEN X = 2 AND y = 4.
Answers
Answer:
-28
Step-by-step explanation:
-2x-24
-2(2)-24
-4-24
-28
Donald writes 6 x 9 = 54. Explain two strategies you could use to check his work.
Answers
2) he can divide 54 by 6 to see if he gets 9
Identify the statement as true or false.
As the size of the random sample increases, the sample distribution more closely represents the population distribution.
Answers
10.6 m 9.1 m 6.8 m find volume
Answers
Answer:
218.36 m^3
Step-by-step explanation:
volume = 1/3 * base area * height
volume = 1/3 * (9.1*6.8) * 10.6
volume = 1/3 * (61.8) * 10.6
colume = 20.6 * 10.6
volume = 218.36
Answer:
109.3 m³
Step-by-step explanation:
Volume of a pyramid
1/3BhBase Area
1/2 x 9.1 x 6.83.4 x 9.130.94 m²Solving
V = 1/3 x 30.94 x 10.6V = 327.964/3V = 109.321333V = 109.3 m³ (approximately)I need help with this question
Answers
Answer:
[tex]\frac{1}{12}[/tex]
Step-by-step explanation:
The probability of picking a 3 is 1/4.
The probability of picking up a 1 the second time will be 1/3 since there will only be 3 cards left after the first time picking up the 3.
So 1/4 x 1/3 = 1/12
A factory inspector found flaws in 4 out of 22 wooden boxes. Considering this data, how many flawed boxes would you expect the inspector to find in a batch of 44 boxes
Answers
Answer:
8
Step-by-step explanation:
We can form a simple ratio to solve this problem.
Flaws:Total Box
Plug in current values
4:22
44/22 = 2
Multiply the ratio by 2
8:44
8 boxes would be flawed.
Answer:
8
Step-by-step explanation:
There are 2 ways to do this I have seen.
1. 4/22 will get you .18, you can then multiply that by 44 and get 8
2. 22*2 is 44 so you can assume the number of flaws will also be the same amount multiplied (a multiple of 2) and you will get 8
Please help
What is 94*106 as a difference of two squares
What is 94*106 as a product of a sum and a difference (factored form)
Answers
Answer:
Hi, I am going to help you! ➡ 94 * 106Formula: ( a+b) (a-b)
a=100
b=6
100+6=106
100+6=106100-6= 94
➡ 2. 100² - 6²
= (100 - 6) ( 100 + 6)
= 94 * 106
( THE BOLD IS THE FINAL ANSWER FOR BOTH QUESTIONS)
What are the values of a1 and r of the geometric series?
2 – 2 + 2 – 2 + 2
a1 = 2 and r = –2
a1 = –2 and r = 2
a1 = –1 and r = 2
a1 = 2 and r = –1
Answers
Answer:
a1=2 and r=-1
Step-by-step explanation:
"A geometric series is a series with a constant ratio between successive terms".
Here, we can observe that the first term 'a' is '2'.
And the common ratio 'r' =
Therefore, the first term 'a' is 2 and common ratio 'r' is '-1'.
First term, a, is 2. Next term, -2, is the product of 2 and -1 and is -2. Next term, 2, is the product of -2 and -1. Thus, the first term, a, is 2 and the common ratio, r, is -1
Answer:
a1 = 2 and r = –1
Step-by-step explanation:
The answer above is correct.
Henri's balance in his savings account was $12,000. The savings
account earns annual simple interest. At the end of four years, the
balance of the account was $13,536. If Henri did not make any
additional deposits or withdrawals during this time, what was the
annual interest rate on this savings account?
18
Answers
Answer:
3.2%
Step-by-step explanation:
I = prt
I = $13,536 - $12,000 = $1,536
1,536 = 12,000 × r × 4
r = 1,536/(12,000 × 4)
r = 0.032 = 3.2%
A. -25
B. 15
C. 25
D. 40
E. 65
Answers
Answer:
E.65
Step-by-step explanation:
ANSWER THIS PLEASE !!!!!!
Answers
Answer:
C
Step-by-step explanation:
Becuase 68 is closer to c than b
What is mZLKB?
A
65°
K
#
#
B
L
Answers
Answer:
65
Step-by-step explanation:
I got it right on my test!
Determining Whether a Difference Is Statistically Significant
You calculated the standard deviation of the sample mean differences to be 0.69. You also calculated the sample mean difference to be 1.74. Now you’ll determine whether the difference is significant. For the purpose of constructing the confidence interval, assume that there’s no difference between the population means.
Part A
Determine the 95% confidence interval for the difference of the sample means. Then complete the statements.
The 95% confidence interval is __ to ___ .
Blank 1: -1.26, -1.38, -3.48, -3.44
Blank 2: 3.44, 3.48, 1.38, 1.26
Part B
Which statement is true about the difference of the sample means?
1. The difference of the sample means is not statistically significant because it falls outside the 5% significance level.
2. The difference of the sample means is statistically significant because it falls outside the 5% significance level.
3. The difference of the sample means is not statistically significant because it falls within the 5% significance level.
4. The difference of the sample means is statistically significant because it falls within the 5% significance level.
Part C
What can you conclude about the color of the L-Bow Roni box?
Answers
The difference of the sample means is statistically significant because it falls outside the 5% significance level.
How to explain the statisticsThe formula for a 95% confidence interval for the difference between two population means is:
(sample mean difference) ± (critical value) x (standard error of the mean difference)
Assuming a two-tailed test and a sample size greater than 30, the critical value is approximately 1.96. The standard error of the mean difference is calculated by dividing the standard deviation of the sample mean differences by the square root of the sample size.
So, the 95% confidence interval is:
1.74 ± 1.96 x (0.69/√n)
Assuming that the sample size is not given, we cannot calculate the exact confidence interval. However, we can say that the confidence interval will be of the form:
1.74 ± (some number)
Therefore, the 95% confidence interval is a range of values that contains the true population mean difference with 95% confidence.
Blank 1: -1.26
Blank 2: 3.44
In order to determine whether the difference is statistically significant, we need to compare the confidence interval to the null hypothesis of no difference. If the confidence interval does not contain the null hypothesis value, then we can reject the null hypothesis and conclude that the difference is statistically significant at the chosen significance level (5% in this case).
The null hypothesis in this case is that there is no difference between the population means. Since we are assuming this for the purpose of constructing the confidence interval, the null hypothesis value is 0.
The confidence interval in Part A does not contain the null hypothesis value of 0, since it ranges from -1.26 to 3.44. Therefore, we can reject the null hypothesis and conclude that the difference is statistically significant at the 5% significance level.
So, the correct answer is that the difference of the sample means is statistically significant because it falls outside the 5% significance level.
Learn more about confidence interval on
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Rewrite the equation in Ax+By=C form.
Use integers for A, B, and C.
y-2 =3(x+3)
Answers
y=3x+11
y-3x=11
Find the volume of the sphere.
Either enter an exact answer in terms of pi or use 3.14 for pi and round your final answer to the nearest hundredth
radius=8
Answers
The answer is 267.94 m^3
The volume of a sphere with radius 8 units is 2143.57 units³
What is a Sphere?
A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.
The Surface Area of a Sphere = 4πr²
The Volume of a Sphere = ( 4/3 ) πr³
where r is the radius of the sphere
Given data ,
Let the volume of the sphere be represented as A
Now , the value of A is
Let the radius of the sphere be r
The value of r = 8
Now , the formula to calculate the volume of the sphere is
Volume of a Sphere = ( 4/3 ) πr³
Substituting the values in the equation , we get
Volume of a Sphere = ( 4/3 ) x 3.14 x 8 x 8 x 8
Volume of a Sphere = ( 4/3 ) x 3.14 x 512
Volume of a Sphere = ( 4/3 ) x 1607.68
Volume of a Sphere = 2143.57 units³
Therefore , the value of A is 2143.57 units³
Hence , the volume of the sphere is 2143.57 units³
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yolanda makes wooden boxes for a crafts fair. She makes 25 boxes like the one shown, and she wants to paint all the outside faces. What is the surface area of all 25 boxes?
Answers
1550 sq. in
hope it helps..!!!
What is the minimum number of triangles needed to construct a hexagon? a hexagon. 3 4 5 6
Answers
Answer:
6
Step-by-step explanation:
draw a model and fit in some traingles
Answer:
it’s B :)
Step-by-step explanation:
give a that is if u think my dog is cute
Graph this parabola
Please show all steps thank you!!!
Answers
Vertex form of parabola
y=a(x-h)²+kFrom the equation given
Vertex=(h,k)=(3,4)a=-2As a is negative parabola facing downwards
Graph attached
If f(1) = 1 and f(n) = 2f(n − 1) then find the value of f(4).
Answers
Answer:
[tex]f(4)=8[/tex]
Step-by-step explanation:
Given:
[tex]f(1)=1[/tex][tex]f(n)=2f(n-1)[/tex][tex]\implies f(2)=2f(1)=2(1)=2[/tex]
[tex]\implies f(3)=2f(2)=2(2)=4[/tex]
[tex]\implies f(4)=2f(3)=2(4)=8[/tex]
Darnell collected data from two different sales teams in his department, each with four employees.
The results of the study, based on each worker's age and sales, are listed in the tables below.
Team 1
Team 2
Worker's Age
Sales
Worker's Age
Sales
25
30,000
29,000
27
32,000
35,500
28
35,000
37,000
33
38,000
65,000
Which of the following is a true statement?
225
28
29
31
Answers
Answer:
The answer is C The sales range for team 2 is greater than the sales range for team 1.
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
30 POINTS NEED HELP ASAP IN CLASS HURRY!!
Answers
Answer:
5. -6/4
6. 1/2
7. 12/15
8. -21/8
Step-by-step explanation:
Steps are in picture
Answer:
Step-by-step explanation:
Fraction division:
Use KCF method
K - Keep the first fraction
C - Change division to multiplcation
F - Flip the second fraction
[tex]5) \dfrac{-6}{11} \div \dfrac{4}{11}=\dfrac{-6}{11}*\dfrac{11}{4}[/tex]
[tex]= \dfrac{-3}{2}\\\\= -1\dfrac{1}{2}[/tex]
[tex]6) 1\dfrac{1}{6} \div 2\dfrac{1}{3}=\dfrac{7}{6} \div \dfrac{7}{3}[/tex]
[tex]= \dfrac{7}{6}*\dfrac{3}{7}\\\\= \dfrac{1}{2}[/tex]
[tex]7) -4\dfrac{1}{5} \div -1\dfrac{3}{4}=\dfrac{-21}{5} \div \dfrac{-7}{4}[/tex]
[tex]=\dfrac{-21}{5}*\dfrac{4}{-7}\\\\= \dfrac{3}{5}*\dfrac{4}{1}\\\\=\dfrac{12}{5}\\\\=2\dfrac{2}{5}[/tex]
[tex]8) -6\dfrac{1}{8} \div \dfrac{7}{3}=\dfrac{-49}{8} \div \dfrac{7}{3}[/tex]
[tex]= \dfrac{-49}{8}*\dfrac{3}{7}\\\\= \dfrac{-7}{8}*\dfrac{3}{1}\\\\=\dfrac{-21}{8}\\\\=-2\dfrac{5}{8}[/tex]
The points (8, 0), (0, 9), (0, 0), and (6, 5) are the vertices of a feasible region for a linear programming problem. The objective function for the problem is C = 1.5x + 3.5y. Which point is the maximum value of C?
Answers
Answer:
the point 6,5 is the maximum Value of c out of the other points
What is the total number of unique triangles that can be formed with side lengths of 6.5 centimeters, 6 centimeters, and 2.5 centimeters?
Enter your answer in the answer box below.
Answers
Answer:
One
Step-by-step explanation:
For unique triangles with 3 sides, the sum of the two shorter sides must be greater than the third side.
Shorter sides: 6 cm and 2.5 cm
Longer side: 6.5 cm
6 + 2.5 = 8.5
As 8.5 > 6.5 this is a unique triangle
As the side lengths are fixed, only one unique triangle can be formed.
Members of a baseball team raised $1386.50 to go to a tournament. They rented a bus for $1137.50 and budgeted $20.75 per player for meals. Determine the number of players the team can bring to the tournament.
Answers
Answer:
12 players
Step-by-step explanation:
the team started off with $1386.50
subtract $1137.50 for the rented bus
[tex]1386.50 - 1137.50 = 249[/tex]
the team has $249 left for the meals and a meal costs $20.75 for each player.
249 ÷ 20.75 = 12
the team can bring 12 players to the tournament.
Which is closest to the weight of 1 raisin box?
250 grams
84 grams
125 grams
42 grams
Answers
Step-by-step explanation:
answer 42 grams.
since total is 250 with 4 box combined. then , 250/4 = 42.25. which is approximately 42 grams
2x+20+3x-5=180 ??need answer
Answers
Answer:
33
Step-by-step explanation:
2x+3x+20-5=180
5x+15=180
5x=180-15
5x=165
165/5=33
A trapezoidal sum is an underestimate when the function is.
Answers
Answer: Concave down
Explanation:
An example is shown below. We have the concave down parabola [tex]y = -x^2+7[/tex] marked in red. The trapezoidal sum is in blue. The three trapezoids combine to something just a bit smaller than the true area under the curve from x = -2 to x = 1. Therefore, this trapezoidal sum is an underestimate of the true area under the curve.
Every part of each trapezoid is completely below the red curve. In other words, no part of the blue pieces spill above the parabola.
Lily is going to invest $750 and leave it in an account for 18 years. Assuming the
interest is compounded daily, what interest rate, to the nearest tenth of a percent,
would be required in order for Lily to end up with $1,180?
Please help!! I need helppppp ASAP
Answers
Answer:
The interest rate would be 2.5%
Given:
Universal Set U = {3, 7, 8, 10, 11}
Subset B = {7}
What is B' ?
Answers
Answer:
B' = {3, 8, 10, 11}
Step-by-step explanation:
B' is the complement of B. It is a set that contains all elements of the universal set that are not elements of set B.
B' = {3, 8, 10, 11}