Answer:
82 + 0.6h = 85 and h = 5
Step-by-step explanation:
hours = h
82 + 0.6h = 85
85 - 82 = 0.6h
3 = 0.6h
3/0.6 = h
h = 5
f10 divided by f5 equals ???
24. Which of the following real numbers has the greatest value? 13.09, 135, √169, 13.1
Answer:
135
Step-by-step explanation:
135 > 13.1 > 13.09 > √169 (√169 = 13)
I hope I could help ^^
If the intquantity and decprice variables contain the numbers 3 and 15.75, respectively, the condition if intquantity > 0 andalso intquantity < 10 orelse decprice > 20 will evaluate to ____.
The correct option is c. True.
If the intquantity and decprice variables contain the numbers 3 and 15.75, respectively, the condition if intquantity > 0 and also intquantity < 10 or else decprice > 20 will evaluate to "True."
What is C++?C++ is an object-oriented programming (OOP) language that many consider to be the best for developing large-scale applications.
C++ is a subset of the C programming language. Java is a programming language that is similar to C++ but is optimized for the dispersion of program objects over a such as the Internet.
Now, as per the question, construct a program in C++.
#include <iostream>
using namespace std;
int main()
{
int intQuantity = 3;
int decPrice = 15.75;
if (intQuantity >0 && intQuantity <10 || decPrice>20){
cout<<"True";
}
else{
cout<<"False";
}
return 0;
}
Because the condition if (intQuantity >0 && intQuantity 10 || decPrice >20) evaluates to true, the output from in this program will be "True." The reason for this is that in programming, the Logical Or (| |) evaluates to true when either or both conditions are met.
Although the condition decPrice>20 is false in the question, the very first condition intQuantity >0 && intQuantity 10 is true, so the OR evaluates to true.
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The complete question is -
If the intQuantity and decPrice variables contain the numbers 3 and 15.75, respectively, the condition If intQuantity > 0 And Also intQuantity < 10 OrElse decPrice > 20 will evaluate to ____.
a.No
b.Yes
c.True
d.False
A bag contains 3 blue chips, 7 red chips, 4 yellow chips, and 5 green chips. A chip is randomly drawn from the bag. Find probability.
P( red or blue )
If a chip is randomly drawn from the bag, the probability it will be a red or a blue one is P(red or blue) = 10/19.
Probability of an event A is the number of event A divided by all possible outcomes. Mathematically,
P(A) = n(A)/n(S)
where:
n(A) = number of event A
n(S) = number of all possible outcomes or sample space.
Suppose A and B are independent outcomes, then:
P(A or B) = P(A) + P(B)
In the given problem:
Number of chips:
Blue = 3
Red = 7
Yellow = 4
Green = 5
Total chips = 3 + 7 + 4 + 5 = 19
If a chip is randomly drawn, the probability it will be a red one is:
P(red) = 7/19
Similarly,
P(blue) = 3/19
Using the probability formula for independent outcomes:
P(red or blue) = P(red) + P(blue)
= 7/19 + 3/19 = 10/19
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asking questions, formulating a hypothesis, testing the hypothesis, drawing conclusions, and reporting the results are steps in the
Asking questions, formulating a hypothesis, testing the hypothesis, drawing conclusions, and reporting the results are steps in the: scientific method.
What is scientific method?Scientific method refers to a process that has been the hallmark of natural science since the 17th century and entails systematic observation, measurement, and experiment as well as the creation, examination, and change of hypotheses.
Now,
As stated in the definition of Scientific Method, the steps so followed to proceed with one are:Asking questionsFormulating a hypothesisTesting the hypothesisDrawing conclusionsReporting the resultsThese steps are to be followed in the mentioned order, in order to result in a successful scientific method.Hence, Asking questions, formulating a hypothesis, testing the hypothesis, drawing conclusions, and reporting the results are steps in the: scientific method.
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find parametric equations for the line through (3, 3, 8) that is perpendicular to the plane x − y 4z
The parametric equation of our line is;
x = 1 + 3t
y = -1 + 3t
z = 4 + 8t
How to find the Parametric Equation?We want to find parametric equations for the line through (3, 3, 8) that is perpendicular to the plane x − y + 4z = 5
A vector perpendicular to the plane ax + by + cz + d = 0 is given by (a, b, c).
So a vector perpendicular to the plane x − y + 4z - 5 = 0 is (1, -1, 4)
The parametric equation of a line through (x₀, y₀, z₀) and parallel to the vector (a, b, c) is;
x = x₀ + ta
y = y₀ + tb
z = z₀ + tc
So the parametric equation of our line is;
x = 1 + 3t
y = -1 + 3t
z = 4 + 8t
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if $10^{51} - 9$ is written as an integer in standard form, what is the sum of the integer's digits?
Notice the pattern:
10² = 100, so 10² - 9 = 91 with a digital sum of 9 + 1 = 10
10³ = 1000, so 10³ - 9 = 991 with a digital sum of 2•9 + 1 = 19
10⁴ = 10000, so 10⁴ - 9 = 9991 with a digital sum of 3•9 + 1 = 28
Then for an arbitrary power of 10, we have
[tex]10^n = 1\underbrace{00\ldots000}_{n\,\rm 0s} \implies 10^n - 1 = \underbrace{999\ldots99}_{n-1\,\rm9s}1 \\\\ \implies \text{digital sum} = 9(n-1)+1 = 9n - 8[/tex]
When [tex]n=51[/tex], the digital sum is 9•51 - 8 = 451.
Mr Johnson's plans to fence the triangular section of a backyard for a dog run
!!Figure is not clear!! Formulae is provided below.
To fence the triangular section Mr. Johnson has to find the perimeter of the triangular field.
To find the perimeter of the triangle one has to add the length of all the three sides of the triangle.
Similarly we can also find the perimeter of other plane figures by adding the lengths of all the sides of the figure.
Suppose if the length of the sides of a triangle is a,b and c units.
Then the perimeter of the triangular field will be = (a + b + c) units.
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A four-digit number is formed using four of the eight eight digits 1, 2, 3, 4, 5, 6, 7, 8. No digit can be used once. Find how many different four - digit number can be formed if
There are no restriction
Total 330 four-digit numbers can be formed if the number is odd and greater than 6000.
Let's tackle the problem in three steps.
First, take into account the numbers with "6" as the first digit on the left.
Then take the first eight digits of the numbers as the leftmost digit.
Last but not least, we'll use the numbers that begin with "7" as the leftmost digit.
1. As the leftmost digit, think of the numbers that begin with "6."
Any one of the final four odd digits—1, 3, 5, or 7—is acceptable (and recommended).
You are given four options.
You can use any of the remaining 8-1-1 = 6 digits for the second and third digit.
In all, it gives you 4×6×5 = 120 choices/numbers.
2. Consider the leftmost digit as the number starting with "6."
You have 120 more options/numbers using the same logic and analysis.
Everything is going well thus far, and you only need 120 + 120 = 240 numbers.
3. Consider the numbers starting with "7" as leftmost digit.
Any of the final three odd digits—1, 3, and 5—may (and ought to) be used.
You have three options.
Any of the remaining 8-1-1 = 6 digits can be used for the second and third digit.
In all, it gives you 3×6×5 = 90 choices/numbers.
4. You have 120 + 120 + 90 = 330 numbers/options when everything is added up.
Hence we get 330 choices to create four digit numbers.
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Your question is incomplete. Please find the missing content below.
A four-digit number is formed using four of the eight digits 1, 2, 3, 4, 5, 6, 7, 8. No digit can be used more than once. Find how many different four-digit numbers can be formed if the number is odd and greater than 6000.
8 6 5 2 4 A-10,3) -5 432 10 1 2 4 -2 3 IN 3 DATE B=(4,2) 4 5 6 7 8 9 AX Apply each of the following transformations to segment AB. 1. Rotate segment AB 90 degrees counterclockwise around center B. Label the image of A as C. What are the coordinates of C?
Zeros of a Polynomial Function
An important consequence of the Factor Theorem is that finding the zeros of a
polynomial is really the same thing as factoring it into linear factors. In this section we
will study more methods that help us find the real zeros of a polynomial, and thereby
factor the polynomial.
Rational Zeros of Polynomials:
The next theorem gives a method to determine all possible candidates for rational zeros
of a polynomial function with integer coefficients.
Rational Zeros Theorem:
If the polynomial ( ) 1
1 1 ... n n P x ax a x ax a n n
− = + ++ − + 0 has integer
coefficients, then every rational zero of P is of the form
p
q
where p is a factor of the constant coefficient 0 a
and q is a factor of the leading coefficient n a
Example 1: List all possible rational zeros given by the Rational Zeros Theorem of
P(x) = 6x
4
+ 7x
3
- 4 (but don’t check to see which actually are zeros) .
Solution:
Step 1: First we find all possible values of p, which are all the factors
of . Thus, p can be ±1, ±2, or ±4. 0 a = 4
Step 2: Next we find all possible values of q, which are all the factors
of 6. Thus, q can be ±1, ±2, ±3, or ±6. n a =
Step 3: Now we find the possible values of p
q by making combinations
of the values we found in Step 1 and Step 2. Thus, p
q will be of
the form factors of 4
factors of 6 . The possible p
q are
12412412412
, , , , , , , , , , ,
11122233366
± ± ± ± ± ± ± ± ± ± ±±
4
6
How would i do this: "A bike shop rents bikes with heights ranging from 18 inches to 26 inches. The shop says the height of the bike should be about 0.6 times a cyclist's legs length. Write and solve a compound inequality that represents the leg lengths of the cyclists the shop does NOT provide bikes for."
A compound inequality that represents the leg lengths of the cyclists the shop 18 ≤ 0.6x ≤ 26.
What is defined as the compound inequality?Simple or compound inequalities exist. A simple inequality, that is familiar to most people, compares two non-equal expressions, such as 2x < 3. The definition of a compound inequality is: a blend of 2 simple inequalities, including such 1< 2x < 3, which is a combination of 1 < 2x and 2x < 3. A double inequality is a compound inequality in the pattern c < x < k.For the given question;
Let the cyclist's legs length be 'x'.
Then 0.6 times of cyclist's legs length will be 0.6x.
Now, the condition is;
The height ranging for the bikes is 18 inches and 26 inches.
It means the height of cyclist's legs length must be greater or equal to this value.
Thus,
18 ≤ 0.6x
And the maximum height of bike is 26 inch.
Thus, cyclist's legs length must be less than or equal to this length.
0.6x ≤ 26
Combining the two;
18 ≤ 0.6x ≤ 26 is the requires compounded inequality.
Thus, for, the value of x such that the range of the leg length lies between the 18 and 26 including both, the bike is provided otherwise NOT.
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6(d-6f)-6f-3(-7f+8d) please help this is for my homework this is Simplify Expressions with Distribution
The simplified expression of 6(d - 6f) -6f- 3(-7f + 8d) is - 18d- 21f
How to simplify the expression with distribution?The expression is given as
6(d - 6f) -6f- 3(-7f + 8d)
Expand the brackets
6(d - 6f) -6f- 3(-7f + 8d) = 6d - 36f - 6f + 21f - 24d
Collect the like terms
6(d - 6f) -6f- 3(-7f + 8d) = 6d - 24d- 36f - 6f + 21f
Evaluate the like terms
6(d - 6f) -6f- 3(-7f + 8d) = - 18d- 21f
Hence, the simplified expression of 6(d - 6f) -6f- 3(-7f + 8d) is - 18d- 21f
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Which statement is true about the end behavior of the
graphed function?
• As the x-values go to positive infinity, the function's
values go to negative infinity.
O As the x-values go to zero, the function's values go
to positive infinity.
• As the x-values go to negative infinity, the function's
values are equal to zero.
As the x-values go to positive infinity, the function's
values go to positive infinity.
As the x-values approach negative infinity, the function's values approach positive infinity, which is the right assertion regarding the graph's final behavior. The right answer is D.
What Does Function Mean?A function in mathematics is an expression, rule, or law that determines the relationship between two variables, one of which is independent, and the other of which is dependent (the dependent variable). Functions can be found everywhere in mathematics, and they are essential for building physical connections in the sciences.
According to given information;
In light of the available data, the graph in the question depicts a function. The graph reveals the conclusions listed below:
At x=0, the function's value is 0.
The value of the function is 0 at x=0.
The function has a minimum value at x=2.4.
As the value of x reaches negative infinity, the function tends to positive infinity because it is open upwards.
As the value of x reaches positive infinity, the function tends to positive infinity because it is open upwards.
From the above conclusions, it can be said that "as the x-values go to negative infinity, the function's values go to positive infinity".
Therefore, option D is correct.
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|3x-7|-7=x solve the equation for all values of x
The solutions to the given equation containing absolute value term |3x-7| - 7 = x are 0 and 7.
What are the solutions to the given equation?Given the equation in question;
|3x-7| - 7 = x
First, add 7 to both sides.
|3x-7| - 7 + 7 = x + 7
|3x-7| = x + 7
Next, remove the absolute value term, this creates a ± on the right side of the question.
|3x-7| = x + 7
3x-7 = ±( x + 7 )
The complete solution is the result of both the negative and positive portions of the solution.
For the first solution, use the positive of ±.
3x-7 = ( x + 7 )
3x - 7 = x + 7
3x - x = 7 + 7
2x = 14
x - 14/2
x = 7
For the second solution, use the negative of ±.
3x-7 = -( x + 7 )
3x-7 = -x - 7
3x + x = -7 + 7
4x = 0
x = 0/4
x = 0
Therefore, the solutions to the given equation containing absolute value term |3x-7| - 7 = x are 0 and 7.
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50 P0!NTS!
Favorite hobby/activity?
mines dirt biking
Answer:
Step-by-step explanation:
Favorite hobby is gaming
Favorite activity is football
an equilateral triangle has sides of equal length. determine whether the triangle with vertices 1-1, -12, 12, 32, 1-4, 32 is equilateral.
No, the triangle with vertices (-1, -1), (2, 3), (-4, 3) is not equilateral.
What is equilateral triangle?An equilateral triangle is a triangle that has all three sides of equal length, also known as a "regular" triangle.
An equilateral triangle is thus a subset of an isosceles triangle in which all three sides are equal. An equilateral triangle has three equal sides.Now, as per the given question.
The vertices are given as (-1, -1), (2, 3), (-4, 3).
Find the distance between the two corresponding vertices.
First, find distances between (-1, -1), (2, 3) lets say 'c'.
c² = (-1-3)² + (-1-2)²
c² = 4² + 3²
c² = 16 + 9
c² = 25
c = 5
Now, find the distance between (2, 3), (-4, 3), let say it 'd'.
d² = (-4-2)² + (3-3)²
d² = 36
d = 6
Now, find the distance between (-1, -1), (-4, 3) say it 'p'
p² = (-1-(-4 ))² +(-1-3)²
p² = 3² +4²
p² = 25
p = 5
As, all three distances are not same. Thus, the given vertices does not form equilateral triangle.
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The correct question is-
An equilateral triangle has sides of equal length. Determine whether the triangle with vertices (-1, -1), (2, 3), (-4, 3) is equilateral.
from 1-4 which are linear and non linear?
Answer properly
Only function 2 represent a linear function.
How to find whether a function is linear or non-linear
Herein we find four cases of functions, of which we are asked to determine if each function is linear or not. A function is linear if and only if the change between every pair of two consecutives values of x and y is the same. Now we proceed to check each case:
Function 1
Δx = - 1 - (- 3) = 2; Δy = 6 - 2 = 4
Δx = 1 - (- 1) = 2; Δy = 18 - 6 = 12
Δx = 3 - 1 = 2; Δy = 54 - 18 = 36
The function is not linear.
Function 2
Δx = 5 - 1 = 4; Δy = - 1 - 1 = - 2
Δx = 9 - 5 = 4; Δy = - 3 - (- 1) = - 2
Δx = 13 - 9 = 4; Δy = - 5 - (- 3) = - 2
The function is linear.
Function 3
Δx = 5 - 4 = 1; Δy = - 10 - (- 5) = - 5
Δx = 6 - 5 = 1; Δy = - 13 - (- 10) = - 3
Δx = 7 - 6 = 1; Δy = - 15 - (- 13) = - 2
The function is not linear.
Function 4
Δx = 1 - (- 2) = 3; Δy = 5 - 4 = 1
Δx = 4 - 1 = 3; Δy = 6 - 5 = 1
Δx = 7 - 4 = 3; Δy = 1 - 6 = - 5
The function is not linear.
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scores on the act college entrance exam follow a bell-shaped distribution with mean 21 and standard deviation 5. wayne’s standardized score on the act was −0.6 . what was wayne’s actual act score?
Wayne's Actual ACT score is 19.2 where mean is 21, standard deviation is 5 and the Z - score is -0.6.
Standard Deviation:
Standard deviation is a measure of the dispersion of a set of numerical values from their mean.
The general form of the standard deviation is,
[tex]SD=\sqrt{\frac{\sum (x_i-\bar{x})}{n} }[/tex]
where
xi is each value in the data set,
x-bar is the mean, and
n is the number of values in the data set.
Given,
Mean = 21.
Standard deviation = 5
Wayne's standardized score on the act = −0.6 .
Here we need to find the Wayne's Actual ACT score.
Let x be the Wayne's Actual ACT score.
So,
=> z-score = (x - mean)/SD
Apply the values on it,
=> -0.6 = (x - 21) / 3
=> -1.8 = x - 21
=> x = 21 - 1.8
=> x = 19.2
Therefore, Wayne's Actual ACT score is 19.2
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What’s the scale factor?
Answer:
Scale factor = 1/2
Explanation below
Explanation belowHope this helps :)
Step-by-step explanation:
If the second figure is turned correctly then all the numbers will correspond.
10 × 1/2 = 5
6 × 1/2 = 3
8 × 1/2 = 4
Which expression can be used to determine the slope of the linear function represented in the table?
0
5
4
9
a. StartFraction 9 minus 5 Over 4 minus 0 EndFraction
b. StartFraction 4 minus 0 Over 9 minus 5 EndFraction
c. StartFraction 5 minus 0 Over 9 minus 4 EndFraction
d. StartFraction 9 minus 4 Over 5 minus 0 EndFraction
Group of answer choices
d
c
a
b
Based on the linear function represented in the table, the expression to find the slope is a. StartFraction 9 minus 5 Over 4 minus 0 EndFraction.
How to find the slope?The slope of a linear function can be found by the formula:
= (Y₂ - Y₁) / (X₂ - X₁)
From the table, we see that:
Y₂ = 9
Y₁ = 5
X₂ = 4
X₁ = 0
The slope is therefore:
= (9 - 5) / (4 - 0)
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seven and three thousands in standard from
Answer:
Hope this helps :)
If it is seven and three thousandths then the answer would be...
7.003
This is because after the decimal the first place is tenths, then, hundredths, and lastly, thousandths. So the 3 would be in the thousandths place. Also, 7 is in the ones place which is before the decimal.
Question 5 of 9
(10 2) 310 (2.3)
A. True
B. False
Find the error(s) and solve the problem correctly.
solve for g(f(0) if f(x) =3x-7/4 g(x)= 2x-1
answer: g(f(0) = 3(2x-1)-7/4 = 6x-1-7/4 =6x-8/4 = 6(0)-8/4 = -2
the composition of functions gives:
g(f(0)) = -6
How to solve the composition of functions?Here we have the two functions:
f(x) = 3(x - 7)/4
g(x) = 2x - 1
The problem in the answer is in the third step, where the distribution is done incorrectly.
g(f(x)) = 3*( (2x - 1) - 7)/4
g(f(x)) = 3*( 2x - 8)/4
g(f(x)) = ( 6x - 24)/4
Evaluating in x = 0 we get:
g(f(0)) = ( 6*0 - 24)/4 = -24/4 = -6
That is the solution of the composition of functions.
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Answer:
The mistake is in the third step
tony charges 37.50$ for 1 1/2 hours of tutoring. how much would tony charge 7 1/2 hours of tutoring?
Tony have to get to pay $187.5.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
There are two cases in Unitary Method
Let's start with finding the price of one ice cream. Divide the entire cost of ice cream by the total number of ice creams to get at that. A single ice cream will cost you 125 divided by the amount of ice creams, or 25 cents. Consequently, 1 ice cream costs $25.
Step 2: To calculate the price of three ice creams, multiply the price of one ice cream by the quantity. Cost of 1 ice cream x number of ice creams = 25 x 3 = $75 is the price of 3 ice creams. The final cost is $75, which is the price of three ice creams.
Given:
For 1 1/2 or 3/2 hours tony charges = $37.50
For 1 hour tony charges = 37.50 * 2/3
= 12.5 * 2
= $25
Now, for 7 1/2 hours tony charges
= 15/2 * 25
= $187.5
Hence, tony charges $187.50 for tutoring 7 1/2 hours.
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If ef=x-4, fg=2x-19, and eg= 13 what is x
The value of x is 12.
Given on a line lie three points e, f and g.
therefore, ef = x ₋ 4
fg = 2x ₋ 9 and
eg = 13
we can say that ef and fg must add upto eg.
⇒ ef ₊ fg = eg
⇒ x ₋ 4 ₊ 2x ₋ 19 = 13
⇒ 3x ₋ 23 = 13
⇒ 3x = 13 ₊ 23
3x = 36
x = 36/3
x = 12
hence we get the value of x as 12.
now substitute x value to get ef and fg values.
ef = x ₋ 4 = 12 ₋ 4 = 8
fg = 2x ₋ 19 = 2(12) ₋ 19 = 24 ₋ 19 = 5
Hence we get the value of x as 12.
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Write and expression equivalent to 62.7 - 82.4
Answer: -19.7
Step-by-step explanation:
62.7 - 82.4=
-(82.4-62.7)= -19.7 ==> switch the numbers and negate the expression to get the same answer
i need help someone pls help meee
Answer:
It is 0.4 and 40%
Step-by-step explanation:
Because if you divide 2 by 5 you get 0.4 and 0.4 is the same and 40% however, 4/100 is 0.04 or 4%
Answer:
0.4 and 40%
Step-by-step explanation:
0.4 and 40% can both be expressed as 2/5, however 4/100 cannot, as the simplified form of that is 1/25.
Steph practice his basketball skills each week. On
Monday he practices 1.5 hours, Tuesday 2 hours,
Thursday 2-hours and Friday of an hour. How much
total time does he spend practicing over 2 weeks?
Answer:
If you add up all those hours that makes 6.5 hours
Answer:7.5
Step-by-step explanation:
Just add them
Members of a softball team raised $1885.50 to go to a tournament. They rented a bus for $949.50 and budgeted $52 per player for meals. Determine the number of players the team can bring to the tournament.
Answer:
thank me that's is my answer
The number of players in the team will be 18.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Total cost to go to a tournament = $1885.50
Rent for bus = $949.50
Budget for meal for each player = $52
Now,
Let the number of players = x
So, We can formulate;
⇒ $949.50 + $52x = $1880.50
Solve for x, as;
⇒ $949.50 + $52x = $1880.50
Subtract 949.50 both side, we get;
⇒ $949.50 + $52x - $949.50 = $1880.50 - $949.50
⇒ $52x = $931
⇒ x = $17.90
After round we get;
⇒ x = $18
Thus, The number of players in the team will be 18.
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m Z 2.
In the figure below, m1= 59°. Find m
Answer:
121°
Step-by-step explanation:
These are supplemental angles. a straight angle is 180 degrees.
180 - 59 = 121
Answer: m2=121 degrees
Step-by-step explanation:
m1+m2=180 ==> m1 and m2 are on a straight line. Straight lines measure 180 degrees and are called straight angles. m1 and m2 are supplementary angles, so they add up to 180 degrees.
59+m2=180
59-59+m2=180-59
m2=180-59
m2=121 degrees