Answers
Answer:
B. 82
Step-by-step explanation:
I hope it helps you :)
The value of z in the given figure of circle with two lines dividing it into segments is 100.
We are given that the measures of angles ∠1 and ∠2 are 105° and 120°, respectively.
Step 1: Since the interior angles of a triangle add up to 180°, we know that the measure of ∠3 is 180° - 105° - 120° = 55°.
Step 2: Since ∠3 and ∠z are supplementary angles, we know that m∠3 + m∠z = 180°.
Step 3: Substituting the measures of ∠3 from step 1 into step 2, we get 55° + m∠z = 180°.
Step 4: Subtracting 55° from both sides of the equation in step 3, we get m∠z = 180° - 55° = 125°.
Step 5: Since m∠z = 125°, then z = 125°.
Therefore, the value of z is 100.
To learn more about value here:
https://brainly.com/question/28787935
#SPJ2
Related Questions
Solve this system of equations: y = x2 – 3x 12 y = –2x 14 1.isolate one variable in the system of equations, if needed. y = x2 – 3x 12 y = –2x 14 2.use substitution to create a one-variable equation. –2x 14 = x2 – 3x 12 3.solve to determine the unknown variable in the equation. what are the values of x? {–2, 1} {–2, 4} {–1, 2} {–1, 4}
Answers
Answer:
our answer is X=2 or X= -1
Answer: C. {-1,2}
Correct on Edge 2023
a colony of bacteria grows by 5% every hour. how long does it take for the colony to double in size
Answers
Answer:
20 hrs
Step-by-step explanation:
growth per hour=5%
no of hrs to double=100/5=20
(it may be wrong)<3
Which is the graph of linear inequality 6x+2y>-10?
Answers
Answer:
we have
6x+2y > -106x+2y>−10
Isolate the variable y
Subtract 6x6x both sides
2y > -6x-102y>−6x−10
Divide by 22 both sides
y > -3x-5y>−3x−5
The equation of the line of this inequality is
y=-3x-5y=−3x−5
The slope is negative and is equal to m=-3m=−3
The y-intercept is the point (0,-5)(0,−5) ----> value of y when the value of x is equal to zero
The x-intercept is the point (-5/3,0)(−5/3,0) ----> value of x when the value of y is equal to zero
The solution of the inequality is the shaded area above the dotted line
Using a graphing tool
see the attached figure
Mr. Krueger wanted a square platform built in the drama room at
school. He provided the carpenter with the desired area of the platform
to be built. Which function can he use to determine the side length of
the square platform?
F(x)=x²
F(x)=√x
F(x) = -=-=
F(x) = |x|
Answers
Explanation: inverse of square is square root. Since the area is the side length squared, take the square root of the area to find the side length.
Which side lengths form a right triangle?
Choose all answers that apply:
A:
11,13,√290
B:
7, 24, 25
C: 2, 5, 7
Answers
Answer:
B
Step-by-step explanation:
Use the Pythagorean theorem, 7^2+24^2=25^2
49+576=625
625=625
All the other answers do not satisfy the Pythagorean theorem (a^2+b^2=c^2)
Answer: A, B
Step-by-step explanation:
A right triangle's sides have a special property that the sum of the squares of the two legs is equal to the square of the hypotenuse. This is also known as the Pythagorean Theorem.
Let's check if this theorem holds true for each triangle.
A[tex]11^2+13^2=(\sqrt{290})^2\\ 121 + 169=290\\ 290 = 290[/tex]
The Pythagorean Theorem holds true, so this is a right triangle.
B[tex]7^2+24^2=25^2\\ 49 + 576 = 625\\ 625=625[/tex]
The Pythagorean Theorem holds true, so this is a right triangle.
C[tex]2^2+5^2=7^2\\ 4+25=49\\ 29 = 49[/tex]
This is a false statement, which doesn't make this triangle a right triangle. We could have use the triangle inequality theorem to prove that this isn't a triangle at all, and therefore not a right triangle, but I encourage you to learn about it and try it yourself.
4. Based on the triangle sum theorem, solve for x.
Answers
Answer:
x = 10
Step-by-step explanation:
180 = 90 + 40 + (4x + 10)
180 = 130 + (4x + 10)
4x + 10 = 180 - 130
4x + 10 = 50
4x = 50 - 10
4x = 40
x = 40/4
x = 10
Answer:
x = 10
Step-by-step explanation:
An euclidean triangle is defined to have sum of all 3 interior angles equal to 180°.
In the given triangle, we know three measurement:
4x+1040°90°You may be wondering, where does 90° come from. The answer is you can find it by looking if a triangle has a little square symbol or not. If it does, the measurement will always be 90°.
Now since we know that sum of 3 interior angles must equal to 180° in euclidean triangle. Therefore, sum up three of measurement then set to 180°.
[tex]\displaystyle{90 + 4x+10 + 40= 180}[/tex]
Evaluate and solve for the x-variable:
[tex]\displaystyle{90 + 4x+10 + 40= 180}\\\\\displaystyle{4x+140 = 180}\\\\\displaystyle{4x=180-140}\\\\\displaystyle{4x=40}\\\\\displaystyle{x=10}[/tex]
Therefore, the value of x is 10
Marco built a circular table that has a radius of 3 centimeters. what is the diameter of the table ?
Answers
Answer:
Diameter = 2 x Radius / The answer should be 6.
Step-by-step explanation:
D = 2 x 3
= 6
A professor gave her students six essay questions from which she will select three for a test. A student has time to study for only three of these questions. What is the probability that, of the questions studied.
Answers
The probability that of the questions studied, all three were the test questions selected by the professor is 0.05.
How to find the probability?We can find the probability by dividing the total number of favorable events by the total number of events.
The total number of events is given by [tex]6C_{3}[/tex].
The total number of favorable events is given by [tex]3C_{3}[/tex].
The probability is given by = Favorable events/Total number of events
= [tex]\frac{3C_{3}}{6C_{3}}[/tex]
= [tex]\frac{1}{\frac{(6)(5)(4)}{(1)(2)(3)} }[/tex]
= [tex]\frac{1}{(5)(4) }[/tex]
= 0.05
The probability that all three questions are selected by the professor for the test is found to be 0.05.
Therefore, we have found that the probability that of the questions studied, all three were the test questions selected by the professor is 0.05.
Learn more about probability here: https://brainly.com/question/251701
#SPJ4
Disclaimer: The question was incomplete, the complete question is attached below.
Question: A professor gave her students six essay questions from which she will select three for a test. A student has time to study for only three of these six questions. What is the probability that, of the questions studied, all three were the test questions selected by the professor?
What percentage of rolls were a 6?
Answers
Step-by-step explanation:
1 ----> 22 times
2 ----> 16 times
3 ----> 26 times
4 ----> 29 times
5 ----> 1 times
6 ----> 6 times
so , total ----> 100 times
so , percentage of rolls 6 is :-
(6/100 ) × 100%
= 6%
A data store system that collects and stores all of the learning experiences in the form of statements that can be organized and presented in a meaningful way is the
Answers
The learning records is the meaningful way in which all of the data of learning experiences is record in the form of statements.
According to the statement
we have to tell that the which record is used when A data store system that collects and stores all of the learning experiences in the form of statements that can be organized and presented in a meaningful way.
So, for find this data store way to record the data
We know that the
The Learning Record provides an architecture and process for documenting student progress and achievement, based on interviews, observations over time, samples of students' naturally-occurring work, and well-supported interpretations of learning across five dimensions.
we see that the these given conditions in statement are approved by the data store way named the learning records.
So, The learning records is the meaningful way in which all of the data of learning experiences is record in the form of statements.
Learn more about Data here https://brainly.com/question/518894
#SPJ4
Can someone help?
what do both of these functions have in common?
f(x) = 5e^x+5 - 5 g(x) = 0.5(x-5)^2 -5
o a. they have the same vertical stretch
ob. they have the same horizontal translation
c. they have the same vertical shift
d. they have the same end behavior
Answers
c. They have the same vertical shift.
A vertical shift is just an alternate within the y-price of each characteristic. it's miles literally picking up the entire characteristic or graph and moving the whole element up or down. If it's far moved up, we add to the y-cost, if it's far moved down, we subtract from the y-cost.
Vertical shift and lateral shift are phenomena because of the refraction of mild rays once they journey from one medium into every other. while light rays travel across two parallel surfaces, the emergent rays from the second one floor are parallel to the incident rays on the primary floor.
The segment Shift is how far the function is shifted horizontally from the standard position. The Vertical Shift is how long way the function is shifted vertically from the same old function.
Learn more about vertical shift here: https://brainly.com/question/26029487
#SPJ4
Can someone help me please
Answers
The domain of the function will therefore be 0≤x<∞
Domain of a functionDomain of a function are the independent value for which a function exists. Given the function below;
f(x) = [tex]\sqrt[4]{x}[/tex]
Since the value in the root cannot be negative hence the domain of the function will be all positive real numbers.
The domain of the function will therefore be 0≤x<∞
Learn more on domain here: https://brainly.com/question/25959059
#SPJ1
When reuben had 3 years left in college, he took out a student loan for $16,902. the loan has an annual interest rate of 4.5%. reuben graduated 3 years after acquiring the loan and began repaying the loan immediately upon graduation.
Answers
Answer:
Reuben will have to pay $19,183.77 when he starts to pay the loan off after 3 years.
Step-by-step explanation:
There are 3 important parts to this equation:
1) 16,902
2) 4.5%
3) 3 years
First, let's find the interest rate in decimal form. This is easy enough to do.
take the interest rate (4.5%) and divide by 100. You can do this in your head by moving the decimal point but I will just write it out for the example:
4.5/100 = 0.045
Now that we have that number. we want to get the dollar amount for the interest. this is done by taking the loan amount and multiplying it by the decimal form of the percentage:
16,902 * 0.045 = 760.59
Since the interest rate is NOT compounding the rest is simple.
760.59 * 3 = 2,281.77
2,281.77 + 16902 = 19,183.77
Hope this helps.
make m the subject!
Answers
a+b-mx=0
a+b=mx
(a+b)/x=m
A radioactive substance decays exponentially. A scientist begins with 110 milligrams of a radioactive substance. After 20 hours, 55 mg of the substance remains. How many milligrams will remain after 26 hours
Answers
Answer:
44.7 mg
Step-by-step explanation:
The equation for exponential decay can be written in the form ...
y = a·b^(t/p)
where 'a' is the initial value, 'b' is the decay factor, 'p' is the period over which the decay factor is applicable, and t is time in the same units as p.
SetupUsing the above equation, we have ...
a = initial value = 110 mg
b = decay factor = 55/110 = 1/2 over time period p=20 hours
Then the equation is ...
y = 110·(1/2)^(t/20) . . . . amount remaining after t hours
SolutionWe want the amount remaining after 26 hours. That will be ...
y = 110·(1/2)^(26/20) ≈ 44.67
About 44.7 milligrams will remain after 26 hours.
PLEASE HELP Which answer provides a counterexample to the following statement: "If a figure has an endpoint,
then it is a line segment"?
Answers
Answer:
ray
Step-by-step explanation:
Rays only have one endpoint, so it continues infinitely in one direction. Segments have TWO endpoints.
Which represents the solution set to the inequality 5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4)?
x < –2.5
x > 2.5
(–2.5, ∞)
(–∞, 2.5)
Answers
The solution to the inequality is (–2.5, ∞)
How to solve the inequality?The inequality is given as:
5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4)
Open the brackets
15.3 + 11.22x > –14.25 – 10.2x - 24
Collect the like terms
11.22x + 10.2x > -15.3 - 14.25- 24
Evaluate the like terms
21.42x > -53.55
Divide both sides by 21.42
x > -2.5
This can also be represented as (–2.5, ∞)
Hence, the solution to the inequality is (–2.5, ∞)
Read more about inequality at
https://brainly.com/question/24372553
#SPJ1
Answer:
c
Step-by-step explanation:
on edge
what does it mean if x=1?
Answers
The meaning of the equation x=1 is that the numerical value of variable X is; 1.
What is the meaning of x=1?It follows from the task content that the mathematical meaning of the equation x=1 be explained.
By virtue of the equality sign, it follows that the numerical value of variable x is 1 and hence, 1 can be substituted for variable x in any mathematical expression within the context of discuss.
Read more on equations;
https://brainly.com/question/25678139
#SPJ1
Six is called a perfect number because its factors (not including 6) add up to itself, i.e. 1 + 2 + 3 = 6. find all the perfect numbers between 20 and 30
Answers
28= 1+2+4+7+14
Hope this helps! :))
Given the equation, y=2x+6, what is its slope?
Select one:
O a. 6
Ob. 2
O c. 3
O d. 1
Answers
Answer:
B, 2
Step-by-step explanation:
The slope in a y=mx+b equation is m. The m in your equation is 2.
Therfore, your slope is 2.
Ben has 3/4 pounds of cherries and ate 2/3 of the cherries. How many pounds of cherries does Ben eat?
Answers
Answer:
1/2 pounds
Step-by-step explanation:
3/4 * 2/3 = 1/2 pounds
Consider the equations y= |x-1 | and y = 3x + 2. The approxirate solution of this system of equations is
Answers
Answer:
Point Form: (- 1/4, 5/4)
Equation Form: x = - 1/4, y = 5/4
Step-by-step explanation:
When you flip a biased coin the probability of getting a tail is 0.47. Find the probability of getting a head.
Answers
Answer:
0.53
Step-by-step explanation:
1 - 0.47 = 0.53
Answer: 0.53
Answer:
0.53 or 53%
Step-by-step explanation:
1 = 100%
1 - 0.47 = 0.53 * 100 (100%) = 53% chance of getting heads.
I know this is a supervised data mining task because (choose all that apply) A. Because the target belonged to the same group as some thine else B. We have historical data on the target. C. There a specific quantifiable target that we are interested in or trying to predict. D. We were able to group the target with other variables
Answers
Answer:
The answer to your question is C. There a specific quantifiable target that we are interested in or trying to predict.
Step-by-step explanation:
I hope this helps and have a good day!
In the following table, the age (in years) of the respondents is given as the x value, and the earnings (in thousands of dollars) of the respondents are given as the y value. Use Excel to find the best fit linear regression equation in thousands of dollars. Round the slope and intercept to three decimal places.
Answers
The required equation based on the information given is y =0.433x + 24.493
How to illustrate the information?It should be noted that one can simply copy and paste the data set into excel sheet
Then, use intercept and the slope formula to find slope and intercept. We will have
slope = SLOPE(y values, x values)
= 0.433
intercept = INTERCEPT(y values, x values)
= 24.493
Therefore, the required equation is y =0.433x + 24.493
Learn more about equations on:
https://brainly.com/question/2972832
#SPJ1
Solve for B.
R = x(A + B)
Answers
what is the domain of f(x)=√11-x?
Answers
The domain of the function f(x) is:
11 ≥ x
What is the domain of the function f(x)?
Here we have the function:
[tex]f(x) = \sqrt{11 - x}[/tex]
Now, remember that the argument of a square root can only be a number equal to or larger than zero, so the domain of our function is defined by:
11 - x ≥ 0
Then, solving this for x, we get:
11 ≥ x
Concluding, the domain of the function f(x) is:
11 ≥ x
If you want to learn more about domains:
https://brainly.com/question/1770447
#SPJ!
Can someone help please
Answers
Answer:
x=7 y=3
Step-by-step explanation:
-x+6y=11
2x-3y=5
-2x+12y=22
2x-3y=5
Add both equations
-2x+2x-3y+12=22+5
9y=27
y=3
plug y back in
-x+18=11
-x=-7
x=7
Find the equation of the line described.
5. Perpendicular to y = 3x + 5; passing through the point (-6,-4)
Answers
Answer: [tex]y+4=-\frac{1}{3}(x+6)[/tex]
Step-by-step explanation:
The slope of the given line is 3, so the slope of the line we want to find is -1/3.
Substituting into point-slope form, we get the equation of the line to be
[tex]y+4=-\frac{1}{3}(x+6)[/tex].
Surface area=
Help me please thanks
Answers
The surface area of the sphere is 324π square units
Calculating the surface areaFrom the question, we are to calculate the surface area of the sphere
The surface area of a sphere can be calculated by using the formula
[tex]Surface \ area = 4 \pi r^{2}[/tex]
Where r is the radius of the sphere
In the given diagram,
r = 9
Thus,
Surface area = 4π × 9²
Surface area = 4π × 81
Surface area = 324π square units
Hence, the surface area of the sphere is 324π square units
Learn more on Calculating surface area here: https://brainly.com/question/12663882
#SPJ1