Determine the value of any unknown GIVE REASONS
The value of angle b is 60 degrees. The reason is angle b is a supplementary angle to angle 120 degrees
angle b is equal to angle c the reason id that they form alternate internal angles
What are linear pairs?A linear pair is a situation where two adjacent angles are on a straight line, hence their sum is 180 degrees.
Linear pair is special cases of supplementary angles involving only two angles that are adjacent
How to solve for angle b
b + 120 = 180
b = 180 -120
b = 60
c = b (alternate internal angles)a = 80 degrees vertical anglesLearn more about linear pair here
https://brainly.com/question/29247305
#SPJ1
the coded values for a measure of brightness in paper (light reflectivity), prepared by two different processes, are as shown in the accompanying table for samples of size 9 drawn randomly from each of the two processes. do the data present sufficient evidence to indicate a difference in locations of brightness measurements for the two processes? give the attained significance level.
The level can be attained by light reflections.
What are light reflections?The law of reflection states that objects can either be observed through the light they emit or, more frequently, through the light they reflect. The law of reflection, which states that the angle of incidence and reflection must be equal, is observed by reflected light.The transition known as reflection flips a shape in a mirror line, also known as a line of reflection, such that each point is at the same distance from the mirror line as its reflected point.n mathematics, a reflection (also spelled reflexion) is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a set of fixed points; this set is called the axis (in dimension 2) or plane (in dimension 3) of reflectionlearn more about reflections here:
https://brainly.com/question/18772331
#SPJ4
How many triangles are in the figure below?
- 5
- 6
- 7 < answer
- 8
This question isn't possible, so I missed it and checked afterwards. Here's the answer for anyone else who may cross it's path. If possible, I'd love to know why 7 is the answer. I really have no idea.
Answer:
7 is correct.
There are 4 small triangles, 2 medium-sized triangles, and 1 large triangle.
Joh rent a kayak at a nearby tate park. He pay a fee of 12. 99 plu 3. 75 for each hour that he pend in the water. How much did Joh pend if he wa on the river 4 1/2 hour
The total amount Joh spend when he was in the river for 4(1/2) hours is 29.865.
Given, Joh rent a kayak at a nearby state park.
He pay a fee of 12.99 plus 3. 75 for each hour that he spend in the water.
We have to find the amount he spend when he was in the water for 4(1/2) hours.
Total amount = 12.99 + hourly amount
Hourly amount = 3.75×4(1/2)
Hourly amount = 3.75×9/2
Hourly amount = 16.875
Total amount = 12.99 + 16.875
Total amount = 29.865
Hence, the total amount Joh spend when he was in the river for 4(1/2) hours is 29.865.
Learn more about Unitary Method here https://brainly.com/question/28627316
#SPJ4
TWO FRIENDS EARNED MORE THAN
$400 SELLING T-SHIRTS. THEY
PAID THEIR PARENTS $55 FOR
SUPPLIES AND DIVIDED THE REST
OF THE MONEY EQUALLY. WRITE AN
INEQUALITY TO FIND POSSIBLE
AMOUNTS EACH FRIEND EARNED.
I need to know the constant of proportionality for each table and equation. I also need to know what the answer to the question on the bottom is.
Please show your work too. (Important)
The constant of proportionality for each table are 5, 2/3, 4, 1/5, 3, 2 and 1/2 while that of the equations are 1/8, 1/3 and 3/2
How to determine the constant of proportionality for each table and equation?
The constant of proportionality is the ratio of the y value to the x value i.e.
constant of proportionality(k) = y/x
To find the constant of proportionality for each table, just pick any non-zero corresponding x and y values on the table and find the ratio:
Using constant of proportionality(k) = y/x
1. y/x = 5/1 = 5
2. y/x= 4/6 = 2/3
3. y/x = 2/0.5 = 4
4. y/x= 2/10 = 1/5
5. y/x = 9/3 = 3
6. y/x = 8/4 = 2
7.y/x = 6/12 = 1/2
For the equations, just rewrite the equations in order to make y/x the subject:
8. y =1/8 x
y/x = 1/8
9. 6y = 2x
y/x = 2/6 = 1/3
10. 4y = 6x
y/x = 6/4 = 3/2
Therefore, the constant of proportionality for each table and equation are 5, 2/3, 4, 1/5, 3, 2, 1/2 and 1/8, 1/3, 3/2 respectively
Learn more about constant of proportionality on:
brainly.com/question/29213426
#SPJ1
A pediatrician prescribes 5 milliliters (ml) of a pain reliever for every 25 pounds of a child's weight. How many milliliters of
medicine will the doctor prescribe for a child who weighs 60 pounds?
If the child's weight is 60 pounds , then the doctor will prescribe 12 milliliter of medicine .
In the question, '
it is given that
the for every 25 pounds of weight 5 milliliter of pain reliever is required .
we need to find the amount of medicine for the child weighing 60 pounds
So , for 25 pounds = 5 milliliter is needed
for 1 pound = 5/25 ml is needed
hence for 60 pound = 60*(5/25) ml will be prescribed .
on simplifying further ,
we get
= 60*(5/25)
= 60*(1/5)
= 12 ml
Therefore , the doctor will prescribe 12 ml of medicines .
Learn more about Unitary Method here
https://brainly.com/question/13608878
#SPJ1
Each page of a top-secret report on aliens requires 2 \text{ KB}2 KB2, start text, space, K, B, end text of space in digital format.
What is the maximum number of pages the report can have so that it can be completely stored on a USB drive that holds 4 \cdot 10^6 \text{ KB}4⋅10
6
KB4, dot, 10, start superscript, 6, end superscript, start text, space, K, B, end text?
Write your answer in scientific notation, and round to one decimal place.
The maximum number of pages the report can have, using scientific notation, is of:
2 x 10^6.
What is scientific notation?A number in scientific notation is written as follows:
[tex]a \times 10^b[/tex]
With the base symbolized [tex]a \in [1, 10)[/tex], meaning that it can assume values from 1 to 10, with an open interval at 10 meaning that for 10 the number is written as 10 = 1 x 10¹, meaning that the base is 1.
For this problem, the maximum number of pages that the report can have is given by the following division:
Maximum number of pages = Total capacity/Size of page.
These variables, from the text, are given as follows:
Total capacity: 4 x 10^6 KB.Size of a page: 2 KB / page.Hence the number of pages is obtained as follows:
Maximum number of pages = 4 x 10^6 KB / (2 KB/ page) = 2 x 10^6 pages.
When two numbers are divided in scientific notation, the bases are divided(4/2 = 2), while the exponents are subtracted (6 - 0 = 6).
More can be learned about scientific notation at https://brainly.com/question/16394306
#SPJ1
please help me asap
Answer:
z = 52°
Step-by-step explanation:
Formula we use,
→ A + B + C = 180°
Then the value of z will be,
→ 81° + 47 ° + z = 180°
→ 128° + z = 180°
→ z = 180° - 128°
→ [ z = 52° ]
Hence, the value of z is 52°.
Marie has $180 in a savings account in week 1. She plans to deposit $12 each following week. Assuming that she does not withdraw any money from her account, what will her balance be in week 20?
The balance in Marie saving account in week 20 will be $408 .
In the question ,
it is given that
the amount in Marie's saving account in week 1 is $180 .
amount of money deposited every week is = $12 .
to find the balance in week 20 means , she deposited money for 19 weeks .
the amount deposited in 19 weeks = 19 × 12 = $228
the equation to represent the balance after w weeks = 180 + 12*w
putting w = 19 in the equation , we get
the balance in saving account in week 20 = 180 + 12*19
the balance in week 20 = 180 + 228
= $408
Therefore , The balance in Marie saving account in week 20 will be $408 .
Learn more about Equation here
https://brainly.com/question/20917911
#SPJ1
what is the probability that a positive integer not exceeding 100 selected at random is divisible by 5 or 7
Answer:
So, the probability of selecting a number from 1 to 100 that is divisible by 5 or 7 is 0.32.
Hope this helped!
The table shows the side
lengths and perimeters of
regular hexagons. Is the
relationship between the
perimeter and the side
length of the hexagons
proportional? Explain.
The relationship between the perimeter and the side length of the hexagons is proportional.
What is a proportional relationship?A proportional relationship is one that illustrates the constant between the data that are given.
In this case, when the side length is 2, the perimeter is 12. The constant is:
= Perimeter / Length
= 12 / 2
= 6
Also, when the length is 3, the perimeter is 18. The constant will be:
= 18 / 3
= 6
Since they have 6 as constant, it's a proportional relationship.
Learn more about proportional relationship on;
brainly.com/question/2143065
#SPJ1
you are a contestant in a quiz show, answering a series of questions. you answer correctly with probability p, or incorrectly with proabaility q; you get $1 for every correct answer, and you are eliminated when you first give two consecutive wrong answers. the questions are indepdent. find the expecred number of questions you attempt, and your expecred total prize moeny
The expected total prize money is $2p/q.
Given that,
You participate as a participant in a game show and respond to questions. You receive $1 for each correct response, and you are disqualified if you first provide two consecutive inaccurate answers. You can answer properly with probability p or wrongly with probability q. Each question stands alone.
Let,
The probability of correctly answering a question is = p
The probability of incorrectly answering a question is = q
The number of failures after which you are eliminated is = 2
Let r = 2 = No. of failures and
Let q = The probability of failure in a single question
Now, the number of questions that you will attempt will follow a negative binomial distribution whose parameters are r and q.
The expected value of a negative binomial distribution is given by
E[X] = r/q
So, the expected number of questions that you will attempt is = r/q = 2/q
Out of 2/q questions, the expected number of correct questions is = 2p/q
So, the expected total prize money is $2p/q.
To learn more about probability click here:
brainly.com/question/11234923
#SPJ4
The following sets of ordered pairs represent relations from the set X to the set Y. Which one is a function?
A (3, 4), (3, 5), (3, 6), (3, 7)
B (2, 5), (2, 8), (3, 7), (3, 9)
C (1, -1), (0, 0), (1, 1), (4, 2)
D (0, 0), (1, 1), (4, 2), (9, 3)
The set of ordered pairs that is a function is (d) (0, 0), (1, 1), (4, 2), (9, 3)
How to determine the ordered pair that is a function?The list of options represents the given parameter
As a general rule, for an ordered pair to be a function;
The y values on the ordered pair must point to different x values
In (a) the y values 4, 5, 6 and 7 have the same x value of 3
So, it is not a function
In (b) the y values 5 and 8 have the same x value of 2
So, it is not a function
In (c) the y values -1 and 1 have the same x value of 1
So, it is not a function
In (d) all the y values have different x values
So, it is a function
Hence, the ordered pair that is a function is (d)
Read more about ordered pairs at
https://brainly.com/question/1528681
#SPJ1
Consider the line y=-8/5x+6.
Find the equation of the line that is parallel to this line and passes through the point (5, 3).
Find the equation of the line that is perpendicular to this line and passes through the point (5, 3).
Note that the ALEKS graphing calculator may be helpful in checking your answer.
Equation of parallel line:
Equation of perpendicular line:
Step-by-step explanation:
the equation
y = -8/5 x + 6
tells us 2 things :
-8/5 is the slope of the line, 6 is the y-intercept (the y value when x = 0).
a parallel line has the same slope (just a different y-intercept) : -8/5
a perpendicular line (intercepts at 90°) turns the original slope upside-down and flips the sign : 5/8
we the use the given point as x and y values and calculate the y-intercepts.
parallel :
3 = -8/5 × 5 + y-intercept = -8 + y-intercept
11 = y-intercept
y = -8/5 x + 11
perpendicular :
3 = 5/8 × 5 + y-intercept = 25/8 + y-intercept
(3×8)/8 = 24/8 = 25/8 + y-intercept
-1/8 = y-interceot
y = 5/8 x - 1/8 = 1/8 × (5x - 1)
A researcher studied the relationship between the number of times a certain species of cricket will chirp in one minute and the temperature outside. Her data is expressed in the scatter plot and line of best fit below. What does the slope of the line represent?
Temperature (Degrees Fahrenheit)
Chirps Per Minute
How long the cricket continues to chirp.
The expected change in number of cricket chirps in one minute for each additional degree Fahrenheit.
The expected change in temperature in degrees Fahrenheit for each additional cricket chirp in one minute.
The expected temperature when the cricket chirps 1 time.
The slope of the line of best fit represents: the expected change in temperature in degrees Fahrenheit for each additional cricket chirp in one minute.
What is a line of best fit?A line of best fit simply refers to a statistical tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any association between data points.
What is a slope?A slope is also referred to as the rate of change and it's typically used to describe both the direction, ratio, and steepness of the function of a straight line based on its coordinates or data points.
In this scenario, the slope for the given data is the change in temperature with respect to a unit change in the number of chirps sold.
Read more on slope here: brainly.com/question/3493733
#SPJ1
Given mn, find the value of x.
+
(8x-4)°
(6x-12)°
Answer:
The value of the equation will be 14
what is 56/80 as a percentage
Answer:
To do percentages with fractions,
divide the numerator by denominator to get a decimal,
so for example, your question 56/80.
56/80 is 0.7 decimal, and then to make it percent,
we multiply by 100,
how does that work?
you move two places to the right because 100 has two zeros
so 0.7 would be 70,
therefore the percent of 56/80 would be 70%
Good day ml! <3
Find the length of side AC. Give your answer to 1 decimal place.
The length of AC is 17.3 cm
What is rectangle?We also refer to a rectangle as an equiangular quadrilateral since all of its angles are equal.A closed 4-sided shape is called a quadrilateral.A rectangle can also be referred to as a right-angled parallelogram because its sides are parallel.A quadrilateral with equal and parallel opposite sides is referred to as a parallelogram.Paralleograms are a specific instance of rectangles.acc to our question,
AC is the perpendicularAB is the base and θ = 68°So,tan 68° = or, AC = tan 68°×AB 17.3 (approx)Hence,The length of AC is 17.3 cm
know more about rectangle click here:
brainly.com/question/25292087
#SPJ13
15x+12=13x-15
…….?????
Answer:
x_6x=21_15_3x/. x+6x=21+15+3x
Step-by-step explanation:
mike has 40 coins consisting of dimes and quarters. if the dimes were quarters and the quarters dimes he would have 90 cents more. how many quarters does he have?
In the word problem, if mike has 40 coins consisting of dimes and quarters and if the dimes were quarters and the quarters dimes, he would have 90 cents more, he has 17 quarters.
A word problem refers to a mathematical exercise where significant information on the problem is given in ordinary language and not mathematical notation. Let x be the number of dimes (10 cents) and y be the number of quarters (25 cents). Hence, the total number of coins is:
x + y = 40
The amount of the total coins would be 0.1x + 0.25y.
If the dimes were quarters and quarters were dimes, he would have 90 cents more than the amount he has now.
Hence,
0.25x + 0.10y = 0.1x + 0.25y + 0.9
Solving,
0.25x – 0.1x = 0.25y – 0.1y +0.9
0.15x = 0.15y + 0.9
As x + y = 40, x = 40 – y
Substituting,
0.15 (40 – y) = 0.15y + 0.9
6 - 0.15 y = 0.15y + 0.9
0.15y + 0.15y = 6 – 0.9
0.3y = 5.1
y = 5.1/0.3 = 17
Hence, the number of quarters are 17.
Learn more about Word problem:
https://brainly.com/question/13818690
#SPJ4
I got angle D but I am confused with others I need help ASAP tysm
Considering the figure the unknown angles are
a = 65b = 25c = 25How to determine the unknown anglesUsing the angle in a straight line are supplementary we have
60 + a + 55 = 180
a + 115 = 180
a = 180 - 115
a = 65
applying sum of angles in a triangle equal to 180, b is calculated as follows
a + b + 90 = 180 right angle triangle
substituting for a
65 + b + 90 = 180
b + 155 = 180
b = 180 - 155
b = 25
applying vertical angle theorem
angle c = angle b
angle c = 25
Learn more about angles here:
https://brainly.com/question/29327565
#SPJ1
a line with slope 2 intersects a line with slope 6 at the point (40, 30). what is the distance between the x-intercepts of these two line
The distance between the x-intercepts of these two line is 10 units.
Given that,
These two lines' x-intercepts are separated by 10 units.
Equation of the line with slope 2 is
y-30/x-40 = 2
For x intercept put y = 0,
then
-30/x-40 =2
x =25
Equation of the line with slope 6 is
y-30/x-40 =6
For x intercept put y = 0,
then
-30/x-40 =6
x =35
Distance between x-intercepts of these two lines is difference of the two intercepts i.e,
D = 35-25 = 10.
Thus, the distance between the x-intercepts of these two line is 10 units.
To learn more about x-intercepts click here:
brainly.com/question/14180189
#SPJ4
A football team loses 4 yards on each of 9 consecutive plays. Find the total change in yards from where the team started.
The total change in yards where the team started is 36 yards
How to determine the total change in yards?The given parameters in the question are:
Yards per play = 4 yards
Number of plays = 9 consecutive plays
The total change in yards is the amount of yard per play multiplied by the number of plays
This is represented as
Total change = Yards per play * Number of plays
Substitute the known values in the above equation So, we have the following equation
Total change = 4 * 9
Evaluate
Total change = 36
Hence, the total change is 36 yards
Read more about changes at
https://brainly.com/question/28309697
#SPJ1
Reflect the figure over the line y=1/3x+1
Answer:
see the attachment
Step-by-step explanation:
You want a graph of the given figure reflected over the line y = 1/3x +1.
Line of reflectionThe given line of reflection can be written in general form as ...
y = 1/3x +1
3y = x +3 . . . . . . multiply by 3
x -3y +3 = 0 . . . . subtract 3y
This is in the general form ...
ax +by +c = 0
where a=1, b=-3, c=3.
The line of reflection is the perpendicular bisector of the segment joining a point (x, y) with its reflection (x', y').
Reflected pointUsing the formula in the second attachment, we find the reflection
(x1, y1) ⇒ (x, y)
satisfies ...
(x -x1)/a = (y -y1)/b = -2(ax1 +by1 +c)/(a² +b²)
or ...
x = -2a/(a²+b²)·(ax1 +by1 +c) +x1
y = -2b/(a²+b²)·(ax1 +by1 +c) +y1
Using the known values for a, b, c, we have ...
x = -2(1)/(1² +(-3)²)·(x1 -3y1 +3) +x1 = (1/5)(4x1 +3y1 -3)
y = -2(-3)/10·(x1 -3y1 +3) +y1 = (1/5)(3x1 -4y1 +9)
Rewriting the mapping in more conventional terms, we have ...
(x, y) ⇒ ((4x +3y -3)/5, (3x -4y +9)/5)
It is convenient to let a spreadsheet do the repetitive tedious math. The third attachment shows the application of this mapping to the coordinates of the figure's vertices (clockwise from bottom).
__
Additional comment
The figure showing the reflected polygon was created by a geometry program using its "reflect over a line" feature.
Please help me!!!!!!!!
Pls help due tomorrow!!!!!!!
We have : (a+b)^2 = a^2 + 2ab + b^2.
So, we can see here : the first term (3x) is a, the second term (a) is b.
For it to be expanded as such, the second term in the bracket must be equal to a^2 when it is squared.
Therefore, the missing term is a.
Recheck : (3x + a)^2 = (3x)^2 + 2.3x.a + a^2 = 9x^2 + 6ax + a^2.
How to solve and answer for IXLs
Answer: r = 77.3 degrees
Step-by-step explanation:
-Add both numbers together.
- 46.2
+ 31.1
= 77.3
-That is the value of "r".
Use function notation to write the rule for each function
f{(0,1) (1,3) (2,5) (3,7) (4,9)}
Answer: y=2x+1
Hope this helps
Convert the following. Round to 1 decimal.
0. 57 miles2 converted into feet2
0.57 mi² = 15,890,688 ft² after converting square miles in square foot.
Define the meaning of unit conversion?A unit conversion is the expression of the same feature in an another unit of measurement. Time, for example, can be stated in minutes rather than hours, and distance can be translated from miles into kilometers, feet, or indeed any length measurement. Measurements are frequently stated in one set of units, including feet, but require different units, such like chains. A conversion factor seems to be a numerical equation that allows for the equal exchange of feet and chains.The given conversion in question is-
0.57 mi² = __ ft²
We know that
1 mi² = 27,878,400 ft²
Then, multiply both sides by 0.57
1 x 0.57 mi² = 27,878,400 x 0.57 ft²
0.57 mi² = 15,890,688 ft²
Thus, the conversion of 0.57 mi² = 15,890,688 ft².
To know more about the unit conversion, here
https://brainly.com/question/13016491
#SPJ4
