Answers
The value of x is 33
What other external angles are there?
The alternate exterior angle theorem states that when two parallel lines cross, the exterior angles formed on either side of the transversal are equal. The distance between two intersecting lines or surfaces at or around their meeting point is referred to as the angle.
Since (2x - 30°) and (x+3)° are alternate exterior angles, they will be equivalent to one another.
(2x - 30)° = (x+3)°
Separate all similar phrases, then determine the value of x:
(2x - 30)° = (x+3)°
2x - x = 33 + 3
x = 33
Consequently, x will have the value of 33.
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Related Questions
3y=5x-6 into slope intercept form
Answers
y=5/3x -2
slope: 5/3
y-intercept: (0,-2)
a fibonacci sequence begins: 1,1,2,3,5,8...
what is the 7th number in the sequence?
Answers
Begining with the third term, each term of the sequence is the sum of the preceding two.
1+1 = 21+2 = 32+3 = 53+5 = 85+8 = 13What word sentence represents this inequality?
A number is at least as large as 8.9
A number is no more than 8.9
A number is greater that 8.9
Answers
Answer:
a number that is at least as large as 8.9
Step-by-step explanation:
the line under the greater than sign makes it equal to or greater than
Calculate JK if LJ=60, JM=63 and LM=87
Answers
The value of line JK in the triangle is 25.2
What is trigonometry?Trigonometry is the branch concerned with specific functions of angles and their application to calculations. There are six functions of an angle commonly used in trigonometry. Their names and abbreviations are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec).
In the right-angled triangle JLM, LM is the hypotenuse, JM is the adjacent and JL is the opposite to angle M
therefore JM = √(LM)^2- (JL)^2
JM = √87^2- 60^2
JM = √3968
JM = 63
sinM= LJ/LM
sinM= 60/87
sinM=0.69
M=sin^-0.69
M= 43.6
angle M is bisected into two
M/2= 43.6/2= 21.8
in Triangle JLM
sin21.8= JK/63
Jk= sin21.8×63
JK= 25.2
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A rectangular table is 22.5 inches wide and 31 inches
Answers
Answer: area = 697.5 area
HELP DUE TOMORROW GUYS
Answers
Answer:
x = 15
Step-by-step explanation:
8x + 9 and 51 are same- side interior angles and sum to 180° , then
8x + 9 + 51 = 180
8x + 60 = 180 ( subtract 60 from both sides )
8x = 120 ( divide both sides by 8 )
x = 15
A delivery truck drove 32 miles per hour. It took 4 hours to travel between two towns. What is the distance between the two towns? Use the equation d=rt, where d is distance, r is rate, and t is fine.
Answers
As per the given equation, the distance between the two towns is 128 miles.
Equation:
Equation defined as the mathematical statement that is made up of two expressions connected by an equal sign.
Given,
A delivery truck drove 32 miles per hour. It took 4 hours to travel between two towns.
Here we need to find the distance between the two towns.
Here we know that, the equation
d=rt,
where
d is distance,
r is rate, and
t is fine.
Through the given question we have identified that the value of r (rate) is 32 miles per hour and the value of t (fine) is 4 hours.
So, the distance is,
d = 32 * 4
d = 128.
Therefore, the distance between the two towns is 128 mile.
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Find the sum of those four-digit numbers which are constructed by the digits 1, 2, 3, 4 (and the digits are not repeated).
Answers
The sum of four digits numbers constructed by the digits 1, 2, 3, and 4 is 10
How to find sum of the digitsThe sum of the digits is achieved by adding the digits
The sum will be same no matter how the numbers are placed and as long as the numbers are not repeated.
The property that is useful here is the commutative property of addition
adding the digits
= 1 + 2 + 3 + 4
= 10
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The top-grossing movies last year were Movie A with $ 700 million, Move B with $ 680 million, Movie C with $ 610 million, and Movie D with $ 420 million. Suppose we randomly selected all possible samples of two of these 4 movies and plotted the sample mean gross profit for each of these samples. The distribution would best be described as:
an approximate sampling distribution.
the complete sampling distribution
the population distribution
the sample distribution"
Answers
The given distribution would best be described as the complete sampling distribution. which is the correct answer would be option (B).
What is the sampling distribution?
In statistics, sampling distribution refers to the study of multiple random samples drawn from a particular population depending on a specified property. The acquired data paint a clear picture of the changes in the likelihood of the outcomes determined. As a consequence, the analysts are aware of the outcomes ahead of time, allowing them to plan their appropriate steps.
All available samples of two of these four movies were chosen at random, and the sample means gross profit for each of these samples was shown.
Thus, the given distribution would best be described as the complete sampling distribution.
Hence, the correct answer would be an option (B).
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A scientist measured the thicknesses of some rat and squirrel hairs.
Using the data below, work out the numbers which complete the following sentences:
a) The median thickness of squirrel hair is _ % more than that of rat hair.
b) The interquartile range of squirrel hair thicknesses is ___% less than that of rat hair.
Answers
The median thickness of squirrel hair is 25% more than that of rat hair.
The interquartile range of squirrel hair thicknesses is 50% less than that of rat hair.
What is the box and whisker plot?A box and whisker plot (also known as a box plot) depicts a five-number summary of a set of data: lowest, lower quartile, median, upper quartile, and maximum.
The line (and dot) in the middle of the box represents the median.
As per the given question,
The median of squirrel hair is 35.
The median of rat hair is 28.
Thus, the median thickness of squirrel hair is 25% more than that of rat hair.
The extreme right end of the whisker represents the maximum value.
In this question,
the maximum value of squirrel hair is 37.
the maximum value of rat hair is 34.
The extreme left end of the whisker represents the minimum value.
In this question,
the minimum value of squirrel hair is 25.
the minimum value of rat hair is 19.
The interquartile range of squirrel hair = 37-25 = 12
The interquartile range of rat hair = 25 - 19 = 6
Thus, the median thickness of squirrel hair is 25% more than that of rat hair. The interquartile range of squirrel hair thicknesses is 50% less than that of rat hair.
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Using the declining-balance method, complete the table as shown (twice the straight-line rate): (Enter your answers as a whole dollar amount.) Auto: $30,000 Estimated life: 5 years Residual value: $800 Year Cost Accumulated Depreciation B.O.Y Book Value B.O.Y Depreciation Expense Accumulated Depreciation E.O.Y Book Value E.O.Y 1 $30,000 A B C D E 2 $30,000 F G H I J 3 $30,000 K L M N O
Answers
The table is completed as follows using the double-declining-balance method of depreciation:
Year Cost Accumulated Book Value Depreciation Accumulated Book
Depreciation B.O.Y Expense Depreciation Value
B.O.Y E.O.Y E.O.Y
1 $30,000 $0 $30,000 $12,000 $12,000 $18,000
2 $30,000 $12,000 $18,000 $7,200 $19,200 $10,800
3 $30,000 $19,200 $10,800 $4,320 $23,520 $6,480
The double-declining-balance approach is what?
The double-declining-balance method is one of the depreciation techniques in use, however it adds additional costs in the first years of an asset's life.
In this depreciation method, the straight-line rate, which is computed as the product of 100/estimated useful life multiplied by 2, is twice.
At the conclusion of each year, the leftover balance for the depreciation charge is adjusted using the double rate.
The difference between the closing balance from the previous year and the residual value is used to determine the depreciation charge for the most recent year.
Auto = $30,000
Estimated useful life = 5 years
Residual = $800
Depreciable amount = $30,000 - $800 = 29,200
Straight-line depreciation rate = 100/5 = 20%
Double-declining depreciation rate =20% x 2 = 40%
Depreciation Expense:
1st year = 30,000 x 40/100 = 12,000
2nd year = 18,000 x 40/100 = 7,200
3rd year = 10,800 x 40/100 = 4,320
4th year = 6,480 x 40/100 = 2,592
5th year = 3,888 x 40/100 = 1,555
Year Cost Accumulated Book Value Depreciation Accumulated Book
Depreciation B.O.Y Expense Depreciation Value
B.O.Y E.O.Y E.O.Y
1 $30,000 $0 $30,000 $12,000 $12,000 $18,000
2 $30,000 $12,000 $18,000 $7,200 $19,200 $10,800
3 $30,000 $19,200 $10,800 $4,320 $23,520 $6,480
4 $30,000 $23,520 $6,480 $2,592 $26,112 $3,888
5 $30,000 $26,112 $3,888 $1555 $27,667 $2,332
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Bert has 100 cards.
There is a whole number from 1 to 100 on each card.
No cards have the same number.
Bert puts a star on every card that has a multiple of 3 on it.
He puts a circle on every card that has a multiple of 5 on it.
Work out how many cards have both a star and a circle on them.
Answers
The picture is right here
Estimate the average by first rounding to the nearest 100:
120, 230, 455, 175
Answers
Answer:
250.
Step-by-step explanation:
First we need to round to the nearest 100:
120 rounded to the nearest 100 is 100.
230 rounded to the nearest 100 is 200.
455 rounded to the nearest 100 is 500.
175 rounded to the nearest 100 is 200.
So, we have the numbers 100, 200, 500, and 200.
To find the average of numbers, we need to add them up and divide the number we get by how many numbers we added:
100 + 200 + 500 + 200 = 1,000
Since we added 4 numbers, we divide by 4:
1,000 divided by 4 = 250.
We don't round to the nearest 100 for 250 because the question said to only round for the original numbers. But, if i am wrong somehow, 250 rounded is 300.
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A country has a goal to build 12,000 bus stop shelters in 48 months if the country builds 215+ shelters each month will it reach at school explain one way to estimate the answer
Answers
If it reaches 250 bus stop shelters per month, then only the country can achieve their goal of 12000 bus stop shelters in 48 months.
Given,
The number of bus stop shelters a Country should built = 12,000
Time period for achieving the goal = 48 months
The average bus stop shelters the country can build in a month = more than 215
We have to explain that if they follow the above given format, will they achieve the goal in 48 months.
We can find it by using division operation;
Lets see;
Number of bus stop shelters they should build in one month = 12000/48 = 250
Here,
They are building more than 215 bus stop shelters per month.
If it reaches 250 bus stop shelters per month, then only the country can achieve their goal of 12000 bus stop shelters in 48 months.
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Which of the following shows that the two composite figures cover the same area?
For both figures, A=12+4+2+2+2=22 units²
For both figures, A=6+4+2+2+1=15 unit.²
For both figures, A=6+4+3+2+1=16 units.²
For both figures, A=6+4+3+3+2=18 units²
Answers
the Answer: A
Step-by-step explanation:
Choose ALL answers that describe the quadrilateral TUVWTUVW if \text{m}\angle T = 45^{\circ}m∠T=45
∘
, \text{m}\angle U = 146^{\circ}m∠U=146
∘
, \text{m}\angle V = 60^{\circ}m∠V=60
∘
, and \text{m}\angle W = 109^{\circ}m∠W=109
∘
.
Parallelogram
Quadrilateral
Rectangle
Rhombus
Square
Trapezoid
Answers
The option that describe the quadrilateral is
QuadrilateralHow to choose the best optionThe choice is made by having a good idea of the properties of the given figures
Starting with quadrilateral: this is a four sided figure, A quadrilateral may also be a parallelogram
Parallelogram refers to figures that has parallel lines
A rectangle is a special type of parallelogram that has two opposite sides equal and equal angles of 90 degrees
A rhombus is a parallelogram that has all the sides equal but only the opposite angles are equal. square is similar to rhombus but has all angles equal to 90 degrees
All other figures except Quadrilateral are parallelogram and the distinctive feature of a parallelogram here is that the adjacent angles of a parallelogram are supplementary,
None of the given pairs of angles add up to give 180 degrees hence we say they are not supplementary and not a parallelogram
All the figures can be classified quadrilateral but not all quadrilateral are parallelogram
sum of angles of a quadrilateral is 360 degrees
45 + 146 + 60 + 109 = 360
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SOMEBODY HELP PLEASEEEE
Answers
The values of a, b and c when comparing ⁷√(6³) with [tex]a^\frac{b}{c}[/tex] are 6, 21 and 2
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the equation:
⁷√(6³)
Applying the law of exponents gives:
= √[(6³)⁷]
= √[6²¹]
[tex]=6^\frac{21}{2}[/tex]
Given the form [tex]a^\frac{b}{c}[/tex], the values of a, b and c are 6, 21 and 2
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For each function, select whether it’s inverse is a function or not a function. refer to the attached picture.
Answers
The inverse of the function is also a function for each part.
What is function?
a function from a group X to a group Y assigns to every component of X specifically one component of Y.
Main body:
In order to have an inverse function, a function must be one to one.
In the case of
f(x)=x⁴we find that f(1)=f(−1)=1. So f(x) is not one to one on its implicit domain R.
If we restrict the domain of
f(x) to [0,∞) then it does have an inverse function, namely:
f−1(y)=⁴√y
Some more details...
In general, if you want to find the inverse of a function
f(x) then set y=f(x) and attempt to solve for x.
In our example, put:
y=f(x)=x⁴
Then taking the square root of both ends, allowing for both possible
signs we find:
±√y=x²
Assuming that we are only interested in real values of x, we require the left hand side to be non-negative, so assume the non-negative square root.
Then take the square root of both sides again to get:
±√√y=x
That is:
x=±√√y=±⁴√y
Note that this does not give us a unique value of x in terms of y.So the inverse function is not defined, unless we have a restriction such as x≥0, i.e. restrict the domain of f(x) to be [0,∞).
Hence y = x⁴ has inverse and its inverse is also function.
Similarly for each of the parts it is true.
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√36+√-63-√100+ √-112
Answers
Answer:
-4 + 18.5202592 i
Step-by-step explanation:
-4 + 18.5202592 i
there you go
Which statements are true about the ordered pair (7, 19) and the system of equations? {2x−y=−5x+3y=22 Select each correct answer. Responses The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true. The ordered pair , begin ordered pair 1 comma 19 end ordered pair, is a solution to the first equation because it makes the first equation true. The ordered pair (7, 19) is a solution to the second equation because it makes the second equation true. The ordered pair , begin ordered pair 1 comma 19 end ordered pair, is a solution to the second equation because it makes the second equation true. The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false. The ordered pair , begin ordered pair 1 comma 19 end ordered pair, is not a solution to the system because it makes at least one of the equations false. The ordered pair (7, 19) is a solution to the system because it makes both equations true.
Answers
The true statement about this system 2x - y = 0 and 5x + 3y = 22 is
The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false.
What is an ordered pair?An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.
Pair in Order = (x,y)
x is the abscissa, the distance measure of a point from the primary axis x
y is the ordinate, the distance measure of a point from the secondary axis y
Given are two equations 2x - y = 0 and 5x + 3y = 22.
The ordered pair (7, 19) is not a solution to this system as these two equations do not intersect each other at (7, 19).
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Answer:
the answers are 2 choices
1- The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true.
2- The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false.
Step-by-step explanation:
i took the k12 test and got these as the answers correctly
The linear function m = 200 − 50v represents the amount m (in dollars) of money that you have after buying v video games. a. Interpret the terms and coefficient in the equation. b. Find the domain of the function. Is the domain discrete or continuous? Explain. c. Graph the function using its domain.
Answers
a. The terms are
200 is to buy the games50 is what it cost for a gamev is the number of gamesm is the total amount on gamesb. The domain of the function is given as 1 ≤ x ≤ 4. The graph is a discrete graph
How to solve for the graphThe term in the linear function m = 200 − 50v interpreted as
200 = money set aside for buying video games
50 = cost per video game
v = number pf video games
m = total amount spent on video games
b. How to find the domain of the functionThe number refers to all the possible input values, this value as regard this context is when the money left for video game is finished.
the input value is v, the domain is solved as follows
200 - 50v = 0
50v = 200
v = 200/50
v = 4
The maximum number is 4 while the minimum is just above 0 or from 1 hence the domain is
1 ≤ x ≤ 4
the graph is attached
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The formulas below give the cost and revenue functions for a company that manufactures and sells a certain product.
Cost C(x) = 24,000+19x
Revenue R(x) = 31x
Determine the profit function for the company.
Answers
The profit function for the company is 12x - 24000.
Given,
Cost function, C(x) = 24,000+19x
Revenue function, R(x) = 31x
Profit function, P(x) = R(x) - C(x)
= 31x - (24000 + 19x)
= 31x - 24000 - 19x
= 12x - 24000
Hence, P(x) = 12x - 24000.
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"A toy rocket is shot vertically into the air from a launching pad 7 feet above the ground with an initial velocity of 72 feet per second. The height in feet, of the rocket above the ground at t seconds after launch is given by the function h(t)=-16 t²+72 t+7. How long will it take the rocket to reach its maximum height? What is the maximum height?
The rocket reaches its maximum height at second(s) after launch.
(Simplify your answer.)
The maximum height reached by the object is feet.
(Simplify your answer.)"
Answers
The time taken for the rocket to reach its maximum height according to information given is; 2.25 seconds.
The maximum height reached by the toy rocket is; 88 feet.
What is the maximum height reached by the rocket?It follows from the task content that the maximum height reached by the rocket is to be determined.
The given function is; h (t) = -16 t² + 72t + 7.
Since it follows from evaluation that; at maximum height, the rate of change of height to time is equal to 0.
Therefore; at maximum height;
h'(t) = 0
h'(t) = -32t + 72 = 0
-32t = -72
t = -72/-32
t = 2.25 seconds.
Therefore, the time taken for the rocket to reach its maximum height is; 2.25 seconds.
Also, the maximum height reached by the rocket is at; h (2.25);
h(2.25) = -16(2.25)² + 72 (2.25) + 7
= -81 + 162 + 7
= 88.
The maximum height reached is; 88 feet.
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Triangle ABC has the following angle measures:
mLA = (x + 6)°, mzB = (3x - 15)°, mzC = (5x +36)°
What is m/C?
Answers
The value of ∠C: 121°
What is Triangle?
A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane.
Given this,
There is an ABC triangle.
m∠A = (x + 6)°
m∠B = (3x - 15)°
m∠C = (5x + 36)°
The size of C must be determined.
Having said that,
A triangle's total number of angles equals 180 degrees.
As a result, we can say,
∠(A) + ∠(B) + ∠(C) = 180
(x + 6)° + (3x - 15)° + (5x + 36)° = 180°
(x + 3x + 5x) + (6 - 15 + 36) = 180°
9x + 27 = 180°.
9x = 180 - 27
9x = 153 degrees
x = 153/9 degrees
17 = x.
Hence,
The ∠C is expressed as
∠C = 5x + 36
= 5*17 + 36
= 85 + 36
∠C = 121.
Thus, ∠C = 121.
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How many permutations can you make using the word TRANSFORMED?
Answers
There is 19958400 Number of permutations can be made using all letters.
What is permutation?
The term "permutation" describes a mathematical calculation that counts all possible arrangements of a given set. The term "permutation" simply refers to the variety of possible arrangements or orders. The arrangement's order matters in permutations.
Given Word is TRANSFORMED.
Total Number of letters = 11
Number of times Letter T repeating = 1
Number of times Letter R repeating = 2
Number of times Letter A repeating = 1
Number of times Letter N repeating = 1
Number of times Letter S repeating = 1
Number of times Letter F repeating = 1
Number of times Letter O repeating = 1
Number of times Letter R repeating = 1
Number of times Letter M repeating = 1
Number of times Letter E repeating = 1
Number of times Letter D repeating = 1
Number of permutations that can be made using all letters
= 11!/(1! * 2! * 1! * 1! * 1! * 1! * 1! * 1!) = 39916800/(2*2*2) = 39916800/2 =
19958400
Thus, there is 19958400 Number of permutations can be made using all letters.
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You use a line of best fit for a set of data to make a prediction about an unknown value. The correlation coefficient for your data set is 0. How confident can you be that your predicted value will be reasonably close to the actual value?
Responses
I can’t be confident at all; this is about as close to a random guess as you can get.
I can be a little confident; it might be close, or it might be way off.
I can be very confident; it will be close, but it probably won’t be exact.
I can be certain that my predicted value will match the actual value exactly.
Answers
The correct option regarding the correlation coefficient is that A. I can’t be confident at all; this is about as close to a random guess as you can get.
What is a correlation coefficient?The correlation coefficient is a statistical measure of the strength of a two-variable linear relationship. Its values can range between -1 and 1. A correlation coefficient of -1 denotes a perfect negative, or inverse, correlation, in which values in one series rise while those in the other fall, and vice versa.
A coefficient of one indicates that there is a perfect positive correlation, or a direct relationship. A correlation coefficient of 0 indicates that no linear relationship exists. In science and finance, correlation coefficients are used to assess the degree of association between two variables, factors, or data sets.
In this case, the fat that the person gets 0 implies that it's probably a random guess. In conclusion, the correct option is A.
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If $1000 is invested at an interest rate of 3.5% per year, compounded continuously, find the value of the investment after the given number of years. (Round your answers to the nearest cent.)
(a) 2 years
(b) 4 years
(c) 12 years
Answers
yeah bc the answer is 4 yrs
Answer:
3.5 years
Step-by-step explanation:
Cool Down 4.3
Match these equation balancing steps with the description of what was done in each step.
Step 1:
12x - 6 = 10
6x - 3 = 5
Step 2:
6x - 3 = 5
6x = 8
Step 3:
6x = 8
x =
Descriptions to match to each step:
A. Add 3 to both sides
B. Multiply both sides by
C. Divide both sides by 2
Answers
The equation balancing to each steps are has follows
Step 1: ---------- C. Divide both side by 2
Step 2: --------- A. Add 3 to both sides
Step 3: ----------B. Multiply both side by [tex]\frac{1}{6}[/tex]
Equation balancing
Equation balancing is the accurate description of the step taking in an equation.
Step 1 : --------C . Divide both side by 2
12x - 6 = 10
6x - 3 = 5
step 2: ---------A. Add 3 to both sides
6x -3 =5
6x = 8
step 3:-----------B. Multiply both side by [tex]\frac{1}{6}[/tex]
6x = 8
x = [tex]\frac{4}{3}[/tex]
Therefore, the matching description to each steps are:
Step 1: ---------- C. Divide both side by 2
Step 2: --------- A. Add 3 to both sides
Step 3: ----------B. Multiply both side by [tex]\frac{1}{6}[/tex]
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I need assistance with this math assignment
Answers
Answer:
46.6 m/sec.
Step-by-step explanation:
Solve for v.
7v+2=10+6v
v=
Answers
Answer:
v = 8
Step-by-step explanation:
