Answers
Answer:
a = 6
b = 25
Step-by-step explanation:
As alternative angles in a parallel line are equal to each other,
5a = 3a + 12
So, now we can find the value of a by making "a" the subject.
5a - 3a = 12
2a = 12
Divide both sides by 2.
a = 6°
And now let us find the value of b.
We know that interior angles in a triangle are added up to 180°.
So,
2b + 4b + 3a + 12 = 180
We can replace a with 6 and then we can make "b" the subject to find the value of b.
Let us solve it now.
2b + 4b + 3 × 6 + 12 = 180
6b + 18 + 12 = 180
6b + 30 = 180
6b = 180 - 30
6b = 150
Divide both sides by 6.
b = 25°
Related Questions
. If p = -5, q = 4, then find pq - (p + q).
Answers
Answer:
-19
Step-by-step explanation:
Given :
p = -5
q = 4
Putting the value of p and q in equation pq - (p + q)
=> (-5)(4) - [(-5)+4]
=> -20 - [ -5+4 ]
=> -20 - [-1 ]
=> -20+1
=> -19
The U.S. flag has 7 red stripes and 6 white stripes. Check if each ratio of red stripes to total stripes is correct.
A. 7:6
B. 7/13
C. 13 to 7
D. 7 to 6
E. 7:13
F. 7/6
Answers
Answer:
B
Step-by-step explanation:
7 is the red stripes and if u add the white and the red which is 7 and 6 which equals 13 which means the answer is 7/13
need answer asap please and thank you
Answers
Step-by-step explanation:
this trapezoid has 3 parts
rectangle, 2 triangles
area of rectangle = 8.7*9.8 = 85.26 m^2
area of first right triangle = .5*b*h = .5*7.3*9.8 = 35.28 m^2
area of 2nd right triangle = .5*7.6*9.8 = 37.24 m^2
total area = 156.78 m^2
1. Suppose that the weights of 3500 registered female Great Danes in the United States are
distributed normally with a mean of 125 lb. and a standard deviation of 5.2 lb.
Approximately how many of the Great Danes weigh more than 130.2 lbs.?
2. Body mass index, or BMI, of 18-year-old females are normally distributed with a mean of 24.6 and
a standard deviation of 2.4. Eighteen-year-old Sasha BMI has a z-score of 1.22.
What is Sasha’s BMI?
3. An experiment compares weight of fish for two different brands fish food. Nacho Average Minos
fish food has a mean fish weight 12 lbs., and a standard deviation of 1.4 lbs. Impossible Minos fish
food has a mean fish weight of 14 lbs. and a standard deviation of 1.2 lb. A fish is measured to be
13.1 lbs. Which brand of fish food, Nacho Average Minos, or Impossible Minos, is more likely to have
been used to feed this fish?
4. Height of 10th grade boys is normally distributed with a mean of 66.9 in. and a standard deviation
of 2.5 in.
The area greater than the z-score is the probability that a randomly selected 15-year-old boy
exceeds 71 in.
What is the probability that a randomly selected 10th grade boy exceeds 71 in.?
Use your standard normal table.
5. Heights for 16-year-old girls are normally distributed with a mean of 64 in. and a standard
deviation of 1.9 in.
Find the z-score associated with the 90th percentile.
Find the height of a 16-year-old girl in the 90th percentile.
State your answer to the nearest tenth of an inch.
Answers
Answer:
1 3500 2 24.6 3 12
Step-by-step explanation:
Select ALL that apply to the graph
the roots are 2 & 4
the X-intercepts aro (40) & (2.0)
the domain is all real numbers
the range is all real numbers
the range is y 39
the equation is linear
the equation is quadratic
the domain is 6X4
Answers
Answer:
a b c e g
Step-by-step explanation:
OPTION A
OPTION B
OPTION C
OPTION E
OPTION G
I hope it helped you
F(x)=2 to the power of x +3 what is the value of f(-2)
Answers
Answer:
2
Step-by-step explanation:
f(x) = 2^(x+3)
f(-2) = put in -2 where x is
= 2 ^(-2+3) = 2^1 = 2
A quarterback completed 16% of his passes in a season. He completed 80 passes. How many passes did the quarterback throw?
Answers
Answer:
500
Step-by-step explanation:
100*80 is 8000, then divide it by 16
Which word below means "to make as small as possible"?
O A. Loss
O B. Minimize
O C. Revenue
O D. Maximize
Answers
Minimize means to reduce something to the smallest amount or size.
Minimize costs and maximize revenue best explains what the profit motive pushes producers to do. The correct option is B.
What is revenue?Revenue is defined as the money generated by normal business operations and is calculated by multiplying the average sales price by the number of items sold.
here, we have,
Revenue refers to the total earnings generated by a company through its core operations, such as product or service sales, property rents, recurring payments, interest on borrowings, and so on.
Net income is calculated by subtracting other costs and expenses from the total amount of money.
The profit motive drives producers to reduce production costs while increasing revenue in order to increase profits.
They can increase their financial gain and make their business more successful by doing so.
Thus, the correct option is B.
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Complete question:
Which of the following best explains what the profit motive pushes producers
to do?
O
A. Achieve the maximum revenue.
O
B. Minimize costs and maximize revenue.
O
C. Produce as much as possible.
O
D. Balance monetary and non-monetary benefits.
SUBMIT
NEED HELP ASAP
Solve this quadratic equation by completing the square.
x2 + 4x = 15
O A. X=-4 + 119
O B. *=-4 1/15
O c. x=-2119
O D. X=-27 15
Answers
Step-by-step explanation:
to solve quadratic equation when the roots are not rational
x = -b+-√(b^2-4*a*c)/ 2a
here a = 1
b = 4
c = -15
(-4+-√16+65)/2
-4+-√81/2
(-4+-9)/2
x = -13/2, 5/2
Answer:
The answer is D.
Step-by-step explanation:
(X+2)²=19
What is the inverse of function f? F(X) = square root of x +7
Answers
Answer: [tex]f^{-1} (x)=x^{2} -7[/tex]
Step-by-step explanation:
To find the inverse of a function replace f(x) with x and the original x with y
[tex]f(x)=\sqrt{x+7} \\x=\sqrt{y+7}[/tex]
Now we can solve for y
Square both sides so we can cancel out the root
[tex]x=\sqrt{y+7}\\x^{2} =\sqrt{y+7}^{2} \\x^{2} =y+7[/tex]
Now subtract 7 from both sides
[tex]x^{2} =y+7\\x^{2} -7=y+7-7\\x^{2} -7=y[/tex]
Now replace y with the inverse of f(x), [tex]f^{-1} (x)[/tex]
f⁻¹=x²+7
Solution:In order to find the inverse of a function, we should first replace f(x) with y, then switch x and y places, like so:y=√x+7x=√y+7Now, solve the equation for y.Square both sides in order to get rid of the square root:x²+7=yy=x²+7And finally, replace y with f⁻¹:f⁻¹=x²+7Also, inverse functions do the opposite thing in the opposite order.So if we have f(x)=x+7, the inverse function is: f⁻¹=x-7Hope it helps.
Do comment if you have any query.
Kelly has made 16 out of 25 free throws. The probability that she will make her next free throw is 64% Is it experimental probability or theoretical probability?
Answers
Answer:
Her next throw will be theoretical, since the event has not happened yet.
Step-by-step explanation:
Set up a questions:
has it happened?
no? it's based off of past experiences? - theoretical
Yes? - experimental
Please help me with 6 and 7 (photo attached)
Answers
Answer: Yes, No
Step-by-step explanation:
gabriel and ted went to an arcade where the machines took tokens. gabriel played 6 games of slee ball and 9 games of pinball using a total of 33 tokens. at the same time, ted played 4 games of slee ball and 9 games of pinball using up 31 tokens. how many tokens does each game require?
Answers
Answer:
9x + 5y = 29 ........... (1) and 3x + y = 7 ........... (2) Each game of ping pong ...
Missing: gabriel ted 33
Step-by-step explanation:
Mr. Timberlake bought 7/9 cup of chocolate chip to
make cookies. He has used 2/3 cup of chocolate chips
To make the cookies. How many chocolate chips does he
have left?
Answers
Answer:
1/9 cup left
Step-by-step explanation:
7/9 - 2/3
Change to a common denominator.
7/9 - 6/9 = 1/9
I hope this helps and please mark me as brainliest!
What is this for? I can't remember because I have a problem that is similar to this.
Answers
Answer:
There is no attachment to the question. You should be specific on what you mean by "this". Therefore, we can not solve the problem that is similar to another problem.
Suppose you are a
farmer and want to know if your corn crop is ready
to be harvested. Describe an unbiased way to
determine whether the crop is ready to harvest.
Answers
Answer:
if you track it's growth, you can see the progress.
Step-by-step explanation:
what is 56 divided by 6185
Answers
Answer:
0.01 (rounded)
0.00905416329
Step-by-step explanation:
i need help with algebra homework please .
Answers
[tex]\cos 32^{\circ} = \dfrac{14.7}a\\\\\implies a=\dfrac{14.7}{\cos 32^{\circ}}\\\\\implies a=17.33[/tex]
Jessie wants to run a simulation of 10 trials to determine the probability of her picking at least one green marble in her next two picks. She will replace the marble after the first pick. Explain how Jessie can conduct a simulation using random digits from 0-9.
Answers
The simulation using random digits is an illustration of sample space and probability
How to run the simulation using random digits?From the question, we understand that the simulation is to determine the probability that she picks at least one green marble in her next two picks.
One of the ways this can be done is as follows:
Represent the green marbles with digits 0 - 4 Represent the other marbles with digits 5 - 9The above ensures that the probability of picking a green marble in each selection is 0.5 and the probability of not picking a green marble in each selection is also 0.5 i.e. the experiment is fair
Next, is to run a simulation of 10 trials.
Take for instance, the result of the simulation is as follows:
00 65 36 48 55
19 34 87 13 90
The number of outcomes that has at least one of digits 0 - 4 represents the required outcome i.e. picking at least one green marble
From the simulation result, the number of outcomes is
At least 1 green marble = 7
Number of trials = 10
So, the probability of picking at least a green marble is:
P = 7/10
P = 70%
Note that there are several other ways the simulation can be done; this is just one of them
Read more about probability at:
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the sum it two numbers is 82.5. Their difference is 12.9. what are the numbers
Answers
Explaination :
Let us assume the unknown two numbers as an variable. Here we are assuming it as a and b.
★ According to the question,
Sum of those assumed two numbers is 82.5.
a + b = 82.5
Also it is given that difference of both the two numbers is 12.9.
a - b = 12.9
From the given information we got two equations,
a + b = 82.5 (Equation No 1)
a - b = 12.9 (Equation No 2)
So we would solve them and get the value of a and b.
★ From Equation No 2 :
a = 12.9 + b
★ In Equation No 1 :
Substituting the value of a which we got above here,
(12.9 + b) + b = 82.5
12.9 + b + b = 82.5
12.9 + 2b = 82.5
2b = 82.5 - 12.9
2b = 69.6
b = 69.6 / 2
b = 34.8
★ Therefore,
Value of b is 34.8★ Finding out value of a :
a = 12.9 + b
a = 12.9 + 34.8
a = 47.7
4* - 5(2*) + 4 = 0, u = 2* [Note: 4* = (2*)^2
Use the substitution given
Answers
Answer:
x = 0, 2
Step-by-step explanation:
[tex] {4}^{x} - 5( {2}^{x} ) + 4 = 0 \\ {({2}^{x})}^{2} - 5( {2}^{x} ) + 4 = 0 \\ {u}^{2} - 5u + 4 = 0 \\ (u - 1)(u - 4) = 0 \\ u = 1 \: or \: u = 4 \\ {2}^{x} = 1 \: or \: {2}^{x} = 4 = {2}^{2} \\ x = 0 \: or \: x = 2[/tex]
The length from one point to another that is a portion of the curve of the circle is called:
Answers
Answer:
The length from one point to another that is a portion of the curve of the circle is called arc
Mario collects seashells and sells them to tourists. The function s(t) approximates how many seashells Mario collects per hour. The function W(h) represents the number of hours per week Mario spends collecting seashells. What are the units of measurement for the composite function s(W(h))? seashells over hour seashells over week hours over week weeks over seashell
Answers
Answer:
seashells/week
Explanation:
With the given the function s(h) being seashells per hour, and the function W(h) being the number of hours per week, we can say that the compostie function s(W(h)) is finding the number of seashells per week.
(I've also taken the test and this was the correct answer.)
Hope this helps! :)
Use a graphing calculator to determine the linear, quadratic, or exponential equation that best represents the data. For linear and quadratics, round slope, -intercept, and coefficients to the nearest integer. For exponential, round to the nearest integer and to the nearest tenth. Day Snow Depth (inches) 1 47 2 29 3 20 4 10 5 7 6 5 7 1.5
Answers
Answer:
y=88e^ -0.5x
Step-by-step explanation:
https://keisan.casio.com/exec/system/14059932387562
1) Use this online graphing calculator if you do not have on ^^
2) plug in data and choose "e-Exponential regression"
3) A= 88.4385965
B= -0.532128051
4) Round A to the nearest integer and B to the nearest tenth
5) Use the formula given "y=Ae^ Bx"
6) Leave the variables "e" and "x" as they are
A quadratic equation would best represent the data
i.e
-8x² + 93x - 56
What is a scatterplot?A scatterplot is a type of graphical display that is used to represent the relationship between two continuous variables.
In a scatterplot, each point represents the values of the two variables, with one variable being plotted along the x-axis and the other variable being plotted along the y-axis.
The position of each point on the graph represents the values of both variables for that particular observation.
We have,
To determine the best equation to represent the data, we will first plot the points on a graphing calculator:
Day Snow Depth
1 47
2 29
3 20
4 10
5 7
6 5
7 1.5
Now,
Based on the scatter plot of the points, it appears that a quadratic equation would best represent the data.
Using the quadratic regression feature on the graphing calculator, we obtain the following equation:
Snow Depth = -8x² + 93x - 56
Rounding to the nearest integer, the final equation that best represents the data is:
Snow Depth = -8x² + 93x - 56
Thus,
A quadratic equation would best represent the data
i.e
-8x² + 93x - 56
Learn more about scatterplots here:
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Find the value of x. assume that segments that appear to be tangent are tangent.
Answers
Answer:
9
Step-by-step explanation:
The explanation is in the picture
31,616 divided by 52
Answers
cansomeone please help me with problem
Answers
Answer:
Disagree
Hope you have a nice day!
Answer:
Disagree and D
Step-by-step explanation:
you wouldn't add 24 as a number because it's a percent, so it can't be C.
Also, since its not C, and A and B are lower then 190, its D
Solve the inequality.
3 – 2a < 7
a > 2
a < 2
a < –2
a > –2
Answers
Answer:
a > –2
Step-by-step explanation:
3 – 2a < 7
-3 -3
-2a < 4
/-2 /-2
a > -2
Fiona is paid $11 an hour to work as a referee. The amount of money he earns depends on how many hours he works. Which is a dependent variable, and which is an independent variable?
Answers
Answer:
Number of hours worked = independent
Money earned = dependent
Step-by-step explanation:
The money earned is dependent because "the amount of money he earns depends on how many hours he works." Since the money earned is dependent, the number of hours worked is independent.
We can also think of it another way. You can pick how many hours you work (theoretically) so this is indepdent. The amount of money earned depends on the hours you worked.
Summary:
Looking at the wording, we can answer the question with the following:
Number of hours worked = independent
Money earned = dependent
It took Fred 12 hours to travel over pack ice from one town in the arctic to another town 360 miles away. During the return journey, it took him 15 hours. Assume the pack ice was drifting at a constant rate, and that Fred’s snowmobile was traveling at a constant speed relative to the pack ice. What was the speed of Fred’s snowmobile?
Answers
Using the relation between velocity, distance and time, it is found that the speed of Fred’s snowmobile was of 27 miles per hour.
What is the relation between velocity, distance and time?
Velocity is distance divided by time, hence:
[tex]v = \frac{d}{t}[/tex]
It took Fred 12 hours to travel over pack ice from one town in the arctic to another town 360 miles away, when the ice was drifting in the same direction, hence:
[tex]v_i + v_s = \frac{360}{12}[/tex]
[tex]v_i + v_s = 30[/tex]
[tex]v_i = 30 - v_s[/tex]
In the return trip, with the ice in opposite direction he took 15 hours, hence:
[tex]v_s - v_i = \frac{360}{15}[/tex]
[tex]v_s - v_i = 24[/tex]
Since [tex]v_i = 30 - v_s[/tex]:
[tex]v_s - 30 + v_s = 24[/tex]
[tex]2v_s = 54[/tex]
[tex]v_s = 27[/tex]
The speed of Fred’s snowmobile was of 27 miles per hour.
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