Answers
I attached a picture of how i worked this out.
The highlighted lines in blue are alternate angles therefore will be the same
____________________________________________
Note: "x + 32 = 123 " ;
{since: 1) the "123° angle" shown in the diagram ; AND:
2) the angle formed by the 2 (two) angles:
" ∠x" and the "32° angles (shown in the diagram) } ;
____________________________________________________
→ are "altenrate interior angles";
and "alternate interior angles" are congruent.
____________________________________________________
So, x = 123 - 32 = 91 .
____________________________________________________
The answer is: " x = 91 " .
____________________________________________________
Related Questions
Parker was able to pay for 44% of his college tuition with his scholarship.
The remaining $10,054.52 he paid for with a student loan.
What was the total cost of Parker's college tuition?
Round your answer to the nearest dollar.
Tuition cost = $_
Answers
Let x be the total amount of his tuition. He paid for 44% of it, or 0.44, with his scholarship. This leaves 100%-44% = 56% = 0.56 of it to be taken care of with loans. We know he took out 10054.52 in loans:
0.56x = 10054.52
Divide both sides by 0.56:
0.56x/0.56 = 10054.52/0.56
x = 17954.50 ≈ 17955
The total cost of Parker's college tuition, rounded to the nearest dollar, is $17,952.
Explanation:If Parker was able to pay for 44% of his total college tuition with his scholarship, this means that the $10,054.52, which he paid using his student loan, represents the remaining 56% of his tuition cost. Therefore, to find the total cost of tuition, we need to divide the amount he paid with a loan by 0.56. Performing this calculation gives us:
$10,054.52 / 0.56 = $17,952.00
Therefore, the total cost of Parker's tuition rounded to the nearest dollar is $17,952.
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Solve the system of equations algebraically.
3x-3y=6
6x-7y=5
a. (8,8)
b. (9,7)
c. many solutions
d. no solution
Answers
The system of equations has a solution at (9, 7), which is an option (b).
What are Systems of equations?Simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.
There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.
The given equations are:
3x-3y=6
6x-7y=5
Multiply the first equation by 2 to get rid of the coefficient of x in the second equation:
6x - 6y = 12
6x - 7y = 5
Subtract the first equation from the second equation to eliminate x:
0x - y = -7
y = 7
Substitute y = 7 into one of the original equations and solve for x:
3x - 3y = 6
3x - 3(7) = 6
3x - 21 = 6
3x = 27
x = 9
Therefore, the solution to the system of equations is (9, 7), which corresponds to option (b).
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NEED HELP ASAP!!! Susan makes $5 per hour babysitting and $7 per hour as a life guard. Her goal is to make at least $140. which of the following represents three possible solutions to the problem?
Answers
Number of horus Lifeguard: y
Susan makes $5 per hour babysitting
Money she makes Babysitting: 5x
Susan makes $7 per hour as a life guard
Money she makes as a life guard: 7y
Total money she mahes: 5x+7y
Her goal is to make at least $140:
5x+7y>=140
Answer: First option
5x+7y>=140
(This question has 4 parts)
1. Use an appropriate technology to simulate 25 tosses of a coin. Report your results
2.What experimental probability is indicated by this data?
3. What is the theoretical probability that a coin toss will yield a result of heads? Or tails?
4. Explain any differences between the theoretical probability and the experimental probability.
(Sorry for so much but I honestly have no idea how to do this)
(Please make a good answer with details and include how you did it)
Answers
Tails - 13
Total Flips - 25
-- separate --
Probability of heads: 12/25 = 0.48
Probability of tails: 13/25 = 0.52
-- separate --
Heads: 48%
Tails: 52%
Hope this helps.
Heads - 9
Tails - 16
----
Probability of heads = 9/25 = 0.36 = 36%
Probability of tails = 16/25 = 0.64 = 64%
----
Heads = 36%
Tails = 64%
----
The experimental probability basically says the answer but the theoretical probability clears out the answer.
please please someone help me and show me how you got the answer super super thanks in advance
Answers
18/100
=0.18
Convert it to a percent by moving the decimal point two places to the right.
So 40/100
=.40
Move the decimal point over two and add the percent sign.
40%
How do you find the area of a triangle?
Answers
[tex]Area = \frac{1}{2} * base * height[/tex]
Should this answer be a fraction or a whole number?
Answers
A sphere and a cylinder have the same diameter. The height of the cylinder is equal to its diameter. Which shape has a greater volume?
Answers
The cylinder has a greater volume than the sphere when both have the same diameter and the cylinder's height is equal to its diameter, as the formulas for their volumes show that V_cylinder > V_sphere.
The question asks which shape has a greater volume: a sphere with the same diameter as a cylinder or a cylinder where the height is equal to the diameter. To solve this, we need to compare their volumes using mathematical formulas.
The volume of a sphere with radius r is given by V_sphere = (4/3) * π * r^3. Since the diameter of the cylinder is the same as the diameter of the sphere, we can use the same value for r, where r is half of the diameter.
The volume of a cylinder with radius r and height h (which, in this case, is also 2r) is calculated as V_cylinder = π * r^2 * h. For the cylinder, since h = 2r, we substitute to get V_cylinder = π * r^2 * (2r) = 2 * π * r^3.
Comparing the two volumes, it is clear that the volume of the cylinder (2 * π * r^3) is greater than that of the sphere ((4/3) * π * r^3). Therefore, the cylinder has a greater volume than the sphere when both shapes have the same diameter and the cylinder's height is equal to its diameter.
A company’s profit is modeled by the function p(x) = -2x2 + 60x − 2, where p is the profit in thousands of dollars and x is the number of units sold in hundreds.
Based on the profit function, the company has to make ___ hundred units to make a maximum profit
Answers
p(x) = -2x2 + 60x − 2 is a quadratic function whose graph is that of an inverted parabola. The vertex (which here represents the largest p(x) value) can be found using the formula
x = -b / (2a), which comes out to x = -60 / (2*-2) = 15.
The company has to make 15 hundred units to gain maximum profit.
To find the number of units the company needs to sell to make maximum profit, we need to find the vertex of the parabola represented by the profit function. The vertex can be found using the formula x = -b / (2a), where a and b are the coefficients of the quadratic function. In this case, the company needs to sell 1500 units to make a maximum profit.
Explanation:The profit function is given as p(x) = -2[tex]x^2[/tex] + 60x - 2, where p is the profit in thousands of dollars and x is the number of units sold in hundreds. To find the quantity that yields the maximum profit, we need to find the vertex of the parabola represented by the profit function. The x-coordinate of the vertex can be found using the formula x = -b / (2a), where a and b are the coefficients of the quadratic function. In this case, a = -2 and b = 60. Plugging these values into the formula, we get x = -60 / (2*(-2)) = 15. Since x represents the number of units sold in hundreds, the company needs to sell 1500 units to make a maximum profit.
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Evaluate the expression. If necessary, round to the nearest hundredth. lne
Answers
For example: log has a base of 10, log10 = 1
ln stands for Natural Log. The Base of the natural log is e. So we can also write the given expression as:
[tex]ln(e)= log_{e}(e) [/tex]
When the base of log is equal to the value for which you are finding the log, the answer is always equal to 1.
So the answer to this question is 1.
The table below shows the values of y for different values of x:
x y
0
0
1
5
2
10
3
15
Which equation shows the relationship between x and y?
x = 5y
y = 5 + x
x = 5 + y
y = 5x
Answers
0 0
1 5
2 10
3 15
The answer is y = 5x
we can check this by plugging in the numbers from the table:
5 = 1(5)
5 = 5
This makes this answer correct because it makes the equation true.
Answer:
D. [tex]y=5x[/tex]
Step-by-step explanation:
We have been given a table of values. We are asked to find the equation that shows the relationship between x and y.
x y
0 0
1 5
2 10
3 15
Upon looking at our given table, we can see that with each increase in x value, the value of x increases by 5. This means that slope of our given line is 5.
We can also see that initial value or y-intercept is 0.
Upon substituting our given values in slope intercept form of equation, we will get:
[tex]y=5x+0[/tex]
[tex]y=5x[/tex]
Therefore, our required equation is [tex]y=5x[/tex] and option D is the correct choice.
A box containing 3 small bags of flour weighs 950 grams. Each bag of flour weighs 300 grams. How much does the empty box weigh
Answers
3x300=900
950-900=50
50 is the total weight that is left fi you were to take the 3 bags out of the box
A square garden has an area of 64 square feet. What is the length of the garden?
Answers
Area = Length²
Length² = 64
Length = √64
Length = 8 feet
Answer: 8 feet
The length of the garden will be 8 feet.
It should be noted that the area of a square is gotten by multiplying its lengths together. For example, the area of a square with length of 2cm will be: = 2 × 2 = 4cm²
Therefore, since the square garden has an area of 64 square feet, the length of the garden will be:
= ✓64
= 8 feet
Therefore, the length is 8 feet.
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Solve for x.
80
22
40
12
Answers
you toss two dice one time what is the probability of getting an even number on the first die or a sum of 6
Answers
Leo has 100 coins in his piggy bank. All coins are either nickels, or dimes, or quarters. There are as many nickels as dimes and quarters together. How much money are nickels in Leo's piggy bank worth? will mark brainliest!!! PLEASE HELP
Answers
Total money nickles are worth of = $2.5
Let number of nickles coins be 'x'
Let number of dime coins be 'y'
Let number of quarter coins be 'z'
we have,
x + y + z = 100 and x = y +z
on solving the two equations, we get x = 50
1 nickle = 5 cents
50 nickles = 250 cents = $2.5
A store had 4 boxes of video Games.How many days would it take to sell the games if each day they sold one fifth
Answers
5*4=20 you take away the fraction part of one fifth:))
hope it helped!!!!
the first computer is usually regarded as one called ROACH completed in 1945. Email was invited in 1971. how many years after the computer was email invented
Answers
the first computer is usually regarded as one called ROACH completed in 1945. Email was invited in 1971. how many years after the computer was email invented
in this vase we will use soustraction
1971-1945=26
email was invented 26 years after computers
hopes this helped you well
may i please have the brainliest
have a wonderful day or night
Final answer:
Email was invented 26 years after the completion of the first recognized computer in 1945.
Explanation:
The first computer is often attributed to the work carried out during World War II, with machines like ENIAC, completed in 1945, incorporating vacuum tubes and filling entire rooms. However, the question references a machine called ROACH, which seems to be a typo or a misunderstanding; we usually refer to ENIAC as one of the first computers. Email, on the other hand, was invented in 1971 by Ray Tomlinson. Calculating the difference between the years when the first computer was completed and when email was invented gives us the number of years it took for email to be developed after the advent of the computer.
To find this, we subtract the year the first computer was completed, 1945, from the year email was invented, 1971:
1971 (the year email was invited) - 1945 (the year the computer was completed) = 26 years.Email was invented 26 years after the completion of the first computer.
1)What is the solution to the equation below?
2) How did you get your answer?
x+3 = 8
Answers
Short answer: #1; 5 #2; Explained below
So, we know the answer is 5, so how did I get that? Well, to find that, you have to subtract the two known numbers, 8 and 3. What is 8 - 3? 5. ((8 - 3 = 5))
Hope this helped you! ♥
In the diagram,CD is tangent to the circle, AB = 6 in, and BD = 10 in. Find AD.
Answers
we know that
AB=6 in-----> this is the radius of circle
BC=AB-----> 6 in
AC=12 in-------> is the diameter of circle
BD=10 in
in the right triangle BCD
Applying the Pythagoras theorem
BD²=BC²+CD² --------> CD²=BD²-BC²-----> CD²=10²-6²----> CD²=66
CD=√66 in
in the right triangle ACD
AD²=AC²+CD²-----> AD²=12²+(√66)²----> AD²=144+66----> AD²=210
AD=√210 in-----> AD=14.49 in
the answer is
AD is 14.49 in
What is the value of the expression 24 – (7 + 5) ÷ 6 + 8?
Answers
[tex]24 - (7 + 5) \div 6 + 8[/tex]
Add the numbers in the bracket.
[tex] = 24 - 12 \div 6 + 8[/tex]
Divide the numbers. Diving a negative and a positive equals a negative (-) ÷ (+) = (-).
[tex] = 2 4- 2 + 8[/tex]
Use addition and subtraction rules to calculate the expression. Calculate the sum of the positive numbers and then subtract the numbers.
[tex] = 32 - 2 \\ = 30[/tex]
The value of the expression 24 – (7 + 5) ÷ 6 + 8 is: 30
What is BODMAS rule?
The brackets must be solved first, then powers or roots (i.e. of), Division, Multiplication, Addition, and finally Subtraction, according to the BODMAS rule. Any phrase can only be solved correctly if the BODMAS rule or the PEDMAS rule is used.
In the question, The given expression is 24 – (7 + 5) ÷ 6 + 8.
we will solve this expression using the BODMAS rule
which states the order of the operator in which we should use them in an expression.
That is:
B for brackets;
O: for of
D: for Division
M: for Multiplication
A: for Addition
S: for Subtraction
So, using the same in the given expression:
24 – (7 + 5) ÷ 6 + 8
Removing the bracket by solving it first:
⇒24 – 12 ÷ 6 + 8
After that: Divide :
⇒24-2+8
Then Addition:
⇒32-2:
At last: by subtraction, we get:
⇒30
Hence, the value of the expression 24 – (7 + 5) ÷ 6 + 8
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What property is used to transform the equation x-2y=14 into -3x+6y=-42
Answers
To get from equation 1 to equation 2, everything in equation 1 was multiplied by -3.
Thomas ordered 2 Japanese comic books and twice that number of American comic books. He also ordered 4 Spanish comic books. Thomas told his mom he ordered 8 comic books.
Was Thomas's calculation reasonable?
A.
Yes, it is reasonable because 2 + 2 + 4 = 8.
B.
No, it is not reasonable because 2 + 4 = 6.
C.
No, it is not reasonable because 2 + 4 + 4 = 10.
Answers
This is because we do 2*2 to get 4. The rest is just basic math.
find the total volume of each figure shown measured in cm (not to scale)
Answers
Total surface area =
= [tex]2 \frac{1}{4} * 4 \frac{3}{4} + 3 \frac{1}{3} * ( 6 - 2 \frac{1}{4} )[/tex]
= 10.6875 + 12.5
= 23.1875
∴ Volume = 23.1875 t
Answer:
Step-by-step explanation:
This system has one solution.
{y=−2x+4y
{=x2+4x+13
What is the y-coordinate of the solution?
Enter your answer in the box. y =[]
Answers
I have just taken the test on this answer and I got 10...
I hope this helps!!
Answer:
The y-coordinate of the solution is, 10
Step-by-step explanation:
Given the system of equation:
[tex]y = -2x+4[/tex] ....[1]
[tex]y=x^2+4x+13[/tex] ....[2]
Equate the equation [1] and [2] we have;
[tex]-2x+4 = x^2+4x+13[/tex]
Add 2x to both sides of an equation:
[tex]4 = x^2+6x+13[/tex]
Subtract 4 from both sides we have;
[tex]0= x^2+6x+9[/tex]
or
[tex]x^2+6x+9=0[/tex]
Using perfect square:
[tex](x+a)^2 = x^2+2ax+a^2[/tex]
⇒We can write the equation as:
[tex]x^2+2 \cdot 3x+3^2=0[/tex]
then;
[tex](x+3)^2 = 0[/tex]
⇒[tex]x+3 = 0[/tex]
Subtract 3 from both sides we have;
x = -3
Substitute value of x in [1] we have;
[tex]y = -2(-3)+4[/tex]
⇒[tex]y =6+4=10[/tex]
Solution for the given system of equation = (-3, 10)
Therefore, the y-coordinate of the solution is, 10
Simplify the expression.
2^2 • 2^3
A.
4^5
B.
4^6
C.
2^6
D.
2^5
Answers
[tex] 2^{2} 2^{3} = 2^{2*3} = 2^{6} [/tex]
The answer you're looking for is ( D ) because in exponents, the rule is..
║If the bases are the same, add the exponents║
2 ^2 * 2 ^3 = ? (Bases are the same, add the exponents)
Answer: D = 2^5
║Hope that helps :)║
need urgent help Which sets of numbers are closed under addition?
Choose all answers that are correct.
A.
whole numbers
B.
natural numbers
C.
negative integers
D.
integers
Answers
Whole numbers are closed under addition and multiplication
Integers are closed under addition, subtraction, and multiplication
natural numbers are positive whole integers so they are also closed under addition
The answers are A, B and D
Hope this helps!
Subtract a-4 from 4a+16 and simplify your answer. The variable a should appear only once in your answer.
Answers
So we set it up as (4a+16)-(a-4)
Now we distribute the - to a and -4.
So now it is 4a+16-a+4
Combine the like terms to get 4a-a+16+4
So your answer is 3a+20
Subtracting a-4 from 4a+16 and then simplifying the expression will be 3a + 20.
This is a simple expression and we have to subtract a-4 from 4a+16 and then simplify the answer. This will be:
(4a + 16) - (a - 4)
= 4a - a + 16 + 4
= 3a + 20
In conclusion, based on the calculation above, the answer is 3a + 20.
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The area of a square can be found using the equation A = s², where A is the area and s is the measure of one side of the square.
Match the equation for how to solve for the side length of a square to its description.
Drag the equation into the box to match the description.
Answers
hope it helps
Answer: middle
Step-by-step explanation:
Writing a Real-World Inequality Anise wants to have longer hair than her sister. Her sister’s hair is 2.25 feet long. How long does Anise’s hair have to be?
Answers
Answer:
B the second graph
Step-by-step explanation:
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