Answers
Answer:
∠8 * 4 = ∠7 ----------------(1)
∠8 + ∠7 = 180 ------------(2)
Taking the value of ∠7 from (1) and using it in (2):
∠7 = 4 * ∠8
∠8 + ∠7 = 180
∠8 + (4 * ∠8) = 180
∠8 + 4∠8 = 180
5∠8 = 180
∠8 = 36° ---------------(3)
Using the value of ∠8 from (3) in (2):
∠8 + ∠7 = 180
36 + ∠7 = 180
∠7 = 144° and ∠8 = 36°
Related Questions
The student scores on a history test are normally distributed with an unknown population mean and standard deviation A random sample of 38 scores is taken and results in a sample mean of 85 points and sample standard deviation of 4 points. dr 0,10 0.0 0.025 0.01 0.005 3 1.306 1.690 2.030 2.438 2.724 1.306 1.688 2.028 2.434 2.719 1.305 1687 2.026 2.431 2.715 1.304 1.686 2.024 2.429 2.712 1.304 1685 2.023 2.426 2.708
Find a 90% confidence interval estimate for the population mean using the Student's distribution . Round the final answers to two decimal places.
Answers
Answer:
The 90% confidence interval = (83.9, 86.1)
Step-by-step explanation:
The formula for confidence interval =
Mean ± z × standard deviation/√n
From the question:
n = 38
Mean = 85 points
Standard deviation = 4 points
Z score for 90% confidence interval = 1.645
85 ± 1.645 × 4/√38
85 ± 1.067416951
Confidence Interval =
85 - 1.067416951
= 83.932583049
≈ 83.9
85 + 1.067416951
= 86.067416951
≈ 86.1
Therefore, the 90% confidence interval = (83.9, 86.1)
Translate A number plus 17 is 25
Answers
Answer:
can you explain make it more clear what the question is
Step-by-step explanation:
Answer:
answer is 8
Step-by-step explanation:
do the equation backwards\
25 - 17 = 8
I need help with this
Answers
Answer:
x = -9
Step-by-step explanation:
The attachment shows the labeling according to the problem statement.
The overall length is the sum of the constituent segment lengths, so ...
FG + GH = FH
(10 +x) +(7) = (2x +26)
x +17 = 2x +26
x -9 = 2x
-9 = x
__
Check
Then the segment length FG is ...
10 +x = 10 -9 = 1
and the overall length is ...
2x +26 = 2(-9) +26 = -18 +26 = 8
That is, 1 + 7 = 8.
A trail mix asks for 4 cups of raisins for every 6 cups of peanuts. There is a proportional relationship between the amount of raisins, r (cups), and the amount of peanuts, p (cups), in this recipe. A. Write the equation for the relationship that has a constant of proportionality greater than 1.
Answers
Answer:
Step-by-step explanation:
p=6/4r
Jay and blair were fishing. Togther,they caught 21 fish. Jay caught 2 times as many fish as blair how many fish did Jay and Blair each catch
Answers
What is the slope of the line with equation y-3=- 7(x-2)?
Answers
Answer:
-7
Step-by-step explanation:
Remember y = mx + b and m is the slope. Just convert to this form and identify the m.
y-3=- 7(x-2)
y - 3 = -7x + 14
y = -7x + 17
Order the integers {0, |-20|, -3, 19, -13} from least to greatest
To rewrite a subtraction problem, the integer behind the subtraction sign has to be changed to its opposite—?
Answers
Answer:
-20, -13, -3 0, 19
Step-by-step explanation:
With negative the higher the number the lower the value
Can you Solve this for me?
The coordinates of Point P are ________
The coordinates of Point T are
Point _____ is located at ( 1/2, -2 1/2)
Answers
Answer:
The coordinates of Point P are (2 1/2, 0).
The coordinates of Point T are (-1 1/2, -1).
Point R is located at ( 1/2, -2 1/2)
Hope this helps!
Answer:
p y=0 x=2 1/2 t y= -1 x= -1 R
The work shows the first steps for writing a partial fraction decomposition.
Which equations can be used in a system of equations to solve for the unknowns. Check all that apply.
A = 0
xxxB = 0
xxxxD = –5
xxxxA + C = 0
2A + 2B = 4
it's B C D the three in the middle
Answers
Answer:
B C D
Step-by-step explanation:
Partial fraction decomposition involves breaking down algebraic fractions into smaller piece.
The equations that can be used are:
[tex]\mathbf{B = 0}[/tex] , [tex]\mathbf{D= -5}[/tex] and [tex]\mathbf{A + C = 0}[/tex]
From the question. we have:
[tex]\mathbf{4x^3 - 5 = 2Ax^3 +Ax + 2Bx^2 + B + Cx + D}[/tex]
Collect like terms
[tex]\mathbf{4x^3 - 5 = 2Ax^3 + 2Bx^2 +Ax + Cx + B + D}[/tex]
Compare both sides, using the power of x
[tex]\mathbf{4x^3 = 2Ax^3}[/tex]
[tex]\mathbf{- 5 = B + D}[/tex]
[tex]\mathbf{0 = 2Bx^2 }[/tex]
[tex]\mathbf{0 =Ax + Cx }[/tex]
Divide both sides of [tex]\mathbf{4x^3 = 2Ax^3}[/tex] by 2x^3
[tex]\mathbf{A = 2}[/tex]
Divide both sides of [tex]\mathbf{0 = 2Bx^2 }[/tex] by 2x^2
[tex]\mathbf{B = 0}[/tex]
Divide both sides of [tex]\mathbf{0 =Ax + Cx }[/tex] by x
[tex]\mathbf{A + C = 0}[/tex]
Substitute [tex]\mathbf{B = 0}[/tex] in [tex]\mathbf{- 5 = B + D}[/tex]
[tex]\mathbf{D= -5}[/tex]
Hence, the equations that can be used are:
[tex]\mathbf{B = 0}[/tex]
[tex]\mathbf{D= -5}[/tex] and
[tex]\mathbf{A + C = 0}[/tex]
Read more about partial fraction decomposition at:
https://brainly.com/question/2759993
How to factor this polynomial
Answers
Step-by-step explanation:
6x^7 + 3x^4 - 9x^3
3x^3 (2x^4 + x - 3) ??
The height after t seconds of an object projected upward with an initial velocity of 48 feet per second from a 210-foot tower can be modeled by h=−16t^2 + 48t +210. The height of a neighboring 50-foot tall building is modeled by the equation h=50. The time (t) when the object will be at the same height as the building is found to be t = –2 and t =5. Which statement BEST describes the validity of these solutions?
A. Neither solution is valid since time values cannot be squared.
B. The solution t = – 2 is the only solution since 5 seconds is an unreasonable amount of time for the object to reach a height of 50 feet.
C. The solution t = 5 is the only valid solution to this system since time cannot be negative.
D. Both are valid solutions to this system since both values make the equation h=−16t^2 + 48t + 210 true.
Answers
Answer:
C. The solution t = 5 is the only valid solution to this system since time cannot be negative.
Step-by-step explanation:
Given
[tex]h(t) = -16t^2 + 48t + 210[/tex]
[tex]h(t) = 50[/tex]
Required
Determine which of the options is true
After solving
[tex]h(t) = -16t^2 + 48t + 210[/tex]
for
[tex]h(t) = 50[/tex]
We have that
[tex]t = -2[/tex] and [tex]t = 5[/tex]
Because time can't be negative, we have to eliminate [tex]t = -2[/tex]
So, we're left with
[tex]t = 5[/tex]
Because of this singular reason, we can conclude that option c answers the question
Why is occurring when work is being done 
Answers
Explain your answer!
Answers
Answer:
40 words
Step-by-step explanation:
120 words/3 minutes is the same as 120 divided by 3
so, you divide 120 by 30 and you get 40 words per minute
Answer:
Step-by-step explanation:
We are going to make a questioning. Look:
If in 3 minutes she can type 120 word
In 1 min how many will she type X
We adopt X as a thing witch we don't know. This forms a Rule of three. It happens when we have got 3 values but miss us 1 yet.
Generraly you'll sort the values by type. In this case, I put minutes under minute and words under words.
A Fast way to solve is: multiply where there is not an incognt (1*120) and divide by what left (3)
So:
1*120=120
Divided by 3 (120/3) it's equals 40 words per minute.
Good studies!
-ZehTheJohn
Which of the given values is a solution to the equation 5c – 5 = -50 – 7?
Answers
Answer:
[tex]c=-10.4[/tex]
[tex]c=-\frac{52}{5}[/tex]
Step-by-step explanation:
Hello! You did not provide given values, but we can go through this together without any given choices.
Start with:
[tex]5c-5=-50-7[/tex]
Combine like terms:
[tex]5c-5=-57[/tex]
Add [tex]5[/tex] to both sides of the equation:
[tex]5c=-52[/tex]
Divide both sides of the equation by the coefficient of [tex]c,[/tex] which is [tex]5[/tex]:
[tex]c=-10.4[/tex]
- or -
[tex]c=-\frac{52}{5}[/tex]
Robert receives a commission of 20% onsales of$ 3700.What is his commision rate?
Answers
Answer:
$740
Step-by-step explanation:
3700X20%=740
I think I'm good
Answer:
$740
Step-by-step explanation:
3700*0.20=740.
Hope this helps!
Which of the following correctly translates this equation?
A.5x+7= 10x - 3
Five times a number increased by 7 is 10 times the same
number subtracted from 3
B.The product of 7 and a number plus 5 is 10 times the same
number minus 3
C.Five times a number plus 7 is 3 less than 10 times the same
number
D.Seven more than 5 times a number is the product of 3 and
the same number decreased by 10
Answers
Answer:
C
Step-by-step explanation:
five times a number = 5x
plus 7 = 5x+7
is 3 less 10 times the same number = 10x - 3
45 points!!!
Will mark BRAINLIEST must show explanation!
Answers
Answer:
4hx - 6hStep-by-step explanation:
Given
f(x) = x^2 - 3xSimply
f(x + h) - f(x - h)Solution
f(x + h) - f(x - h) =(x + h)^2 - 3(x + h) - (x - h)^2 + 3(x - h) =x^2 + 2hx + h^2 - 3x - 3h - x^2 + 2hx - h^2 + 3x - 3h =(x^2 - x^2) + (2hx + 2hx) - (3x - 3x) + (h^2 - h^2) - (3h + 3h) = 4hx - 6hPlease helppp.
:))
in the photo
Answers
Answer:
0
Step-by-step explanation:
plug each one in. 330 + 0.3= 3.3 + 0.3. that def isnt true, so try 0. thats true since anything x 0 is 0. so, 0. this is so hard tho, so im not 100%
Evaluate each expression.
x = 2
y = 4
z = 8
1. xy
10
2. x + z
8
3. z - y
4
4. x + y + z
14
Answers
2. 2+8 = 10
3. 8-4 = -4
4. 2+4 = 6+8 = 14
Answer:
1=8
2=10
3=4
4=14
Step-by-step explanation:
An environmental group is interested in what percentage of Americans consider climate change an immediate threat to humanity. From a representative list of 20677 American citizens, they randomly sampled 30; all responded to their questions. They will consider the sample proportion of respondents that agree climate change is an immediate threat to humanity. Previously, 35% of Americans considered climate change an immediate threat to humanity; assume this has not changed.
1. Is it appropriate to use normal distribution to describe the sampling distribution of sample proportion?
a. Yes, because 10.5 and 19.5 are greater than 10.
b. Yes, because 30 American citizens were sampled.
c. No, because this problem concerns the sample proportion instead of the population proportion.
d. No, because the sampling distribution is skewed.
2. Calculate the probability the proportion of the 30 Americans sampled that agree climate change is an immediate threat to humanity exceeds 35%
Answers
Answer:
(1) Yes, because 30 American citizens were sampled.
(2) The probability that the proportion of the 30 Americans sampled that agree climate change is an immediate threat to humanity exceeds 35% is 0.50.
Step-by-step explanation:
We are given that from a representative list of 20677 American citizens, they randomly sampled 30; all responded to their questions.
Previously, 35% of Americans considered climate change an immediate threat to humanity; assume this has not changed.
(1) Yes, it is appropriate to use a normal distribution to describe the sampling distribution of sample proportion because 30 American citizens were sampled.
(2) The z-score probability distribution for the sample proportion is given by;
Z = [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ~ N(0,1)
where, [tex]\hat p[/tex] = sample proportion of Americans who agree climate change is an immediate threat to humanity
p = population proportion of Americans who considered climate change is an immediate threat to humanity
n = sample of American citizens = 30
Now, the probability that the proportion of the 30 Americans sampled that agree climate change is an immediate threat to humanity exceeds 35% is given by = P([tex]\hat p[/tex] > 35%)
P([tex]\hat p[/tex] > 35%) = P( [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] > [tex]\frac{0.35-0.35}{\sqrt{\frac{0.35(1-0.35)}{30} } }[/tex] ) = P(Z > 0) = 0.50
The above probability is calculated by looking at the value of x = 0 in the z table which has an area of 0.50.
Hence, the required probability is 0.50.
Using the normal distribution and the central limit theorem, it is found that:
1. a. Yes, because 10.5 and 19.5 are greater than 10.
2. There is a 0.5 = 50% probability the proportion of the 30 Americans sampled that agree climate change is an immediate threat to humanity exceeds 35%.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].In this problem:
A sample of 30 is taken, hence n = 30.35% of Americans considered climate change an immediate threat to humanity; assume this has not changed, hence p = 0.35.Item 1:
We verify the condition, hence:
[tex]np = 30(0.35) = 10.5[/tex]
[tex]n(1 - p) = 30(0.65) = 19.5[/tex]
Hence option a is correct.
Item 2:
The mean and the standard error are given by:
[tex]\mu = p = 0.35[/tex]
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.35(0.65)}{30}} = 0.087[/tex]
The probability is 1 subtracted by the p-value of Z when X = 0.35, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.35 - 0.35}{0.087}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a p-value of 0.5.
1 - 0.5 = 0.5.
0.5 = 50% probability the proportion of the 30 Americans sampled that agree climate change is an immediate threat to humanity exceeds 35%.
To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213
What do you have to do first in a subtraction of integer problem
Answers
Answer: You have to make the denominators the same.
Step-by-step explanation:
That’s just how it is.
HELP ME
Which set of graphs can be used to find the solution set to 3 log2(x + 4) < 6?
Answers
Answer:
D
Step-by-step explanation: I just took the test on edge
Answer: D
Step-by-step explanation:
A farmer plants a rectangular field that is 200 meters wide and 300 meters long. What is the perimeter of this field?
Answers
Answer:
1000m or 1km
Step-by-step explanation:
200 + 200 + 300 + 300
Simplify the following:
3( x + 1) – 4( 2x – 5 ) + 10x
O 5x - 32
0 21x + 23
0 5x + 23
O 5x - 17
Answers
Answer:
5x+23
Step-by-step explanation:
3(x+1) - 4(2x-5) + 10x
3x+3 - 8x+20 + 10x
(3x-8x+10x = 5x)
(3+20 = 23)
Therefore, answer is 5x-23. :)
A camp counselor has 605 campers to divide into 11 teams. How many campers are on each team?
Answers
Answer: 55
Step-by-step explanation:
The answer fam is........ 55
2 cat + 2 dog how many pets do i have
Answers
Answer:
4 pets
Step-by-step explanation:
Answer:
4 pets
2+2 =4
Adding integers with integer tiles
For addition, drag tiles onto the board. To form a group, place one tile on top of another
Use the integer tiles to find the sum of 4 and -5
A. 9
B. 1
C. -1
D. -9
Answers
Explanation: 4 + -5 = -1. When you have a negative number plus a positive you subtract. Then take the highest numbers positive or negative symbol. Hope that helps.
Answer:
C) -1
Step-by-step explanation:
I took the assignment
quick plz help <3
In which type of music do we find flatted notes & slow, syncopated rhythms?
a. classic rock.
b. ragtime.
c. contemporary jazz.
d. blues.
Answers
the correct answer is the blues
Find the slope of the line perpendicular to the line y=6x+11
Answers
Answer:
The slope of the perpendicular line is 6
Line segment RS has endpoints R (-2, 4) and S (-4, -1).
Line segment R"S" has endpoints R" (3, -3) and S" (5,2).
Name the transformation that maps line segment RS to line segment R"S".
O rotation of 90° counterclockwise about the origin, followed by a translation (x, y) = (x + 2 y + 1).
reflection over the line y = x, followed by a translation (x, y) + (x + 1, y + 1).
O rotation of 180° about the origin, followed by a translation (x, y) - (x + 1, y + 1).
o translation (x,y) → (x + 1, y + 1), followed by a rotation of 180°counterclockwise about the origin.
Answers
Answer:
rotation of 180° about the origin, followed by a translation (x, y) - (x + 1, y + 1).
Step-by-step explanation:
Remember that a rotation of 180º about the origin will result in the change of both X's and Y's signs to the opposite so if the sign of one of them is negative, it will be positive, and viceversa.
Since point R is (-2,4) the first transformation would change the signs and make it (2,-4) the next one would be transform it by adding 1 to both of them:
(x,y)---(x+1,y+1)
(x,y)---(2+3,-4+1)
(x,y)---(3,-3)
So that would be the correct answer.
Answer:
Rotation of 180° about the origin, followed by a translation (x, y) - (x + 1, y + 1).
Step-by-step explanation:
Because you need to negate the X and Y axis to get your answer.