Answers
180 = 5x + 30
Subtract 30 from both sides
150 = 5x
Divide both equations by 5
30 = x
Now since a and c are vertical angles a = c
So plug in 30 for x
2(30) + 10 = c
60 + 10 = c
70 = c
Related Questions
Twelve pennies are arranged in a row on a table every other coin is replaced with a nickel then every third coin is replaced with a dime finally every fourth coin is replaced with a quarter what is the total value of the coins on the table?
Answers
There will be 3 of each coin mentioned if you think about it and is a pattern
1+5+10+25= 41 x 3 = $1.23
Hope it helps.
Final answer:
The sequence of substitutions of the coins on the table results in a final arrangement of coins with a total value of 121 cents or $1.21. This problem combines sequence patterns with coin values to find the total.
Explanation:
We have a problem involving a series of substitutions of coins, and we need to calculate the total value of the coins on the table after these substitutions. We start with 12 pennies, which are initially worth 1 cent each.
Step 1: Every other coin is replaced with a nickel, so we replace every 2nd penny with a 5-cent coin (nickel). The sequence starts with a penny (P), so the even positions will now be nickels (N). The sequence now looks like P, N, P, N, P, N, P, N, P, N, P, N.
Step 2: Every third coin is replaced with a dime, which is worth 10 cents. This means the 3rd, 6th, 9th, and 12th positions will now be dimes (D). The sequence becomes P, N, D, N, P, D, P, N, D, N, P, D.
Step 3: Every fourth coin is replaced with a quarter, which is worth 25 cents. Positions 4, 8, and 12 are affected. The sequence is now P, N, D, Q, P, D, P, Q, D, N, P, Q.
Let’s calculate the total value of the coins:
6 Pennies (P): 6 * 1 cent = 6 cents
2 Nickels (N): 2 * 5 cents = 10 cents
3 Dimes (D): 3 * 10 cents = 30 cents
3 Quarters (Q): 3 * 25 cents = 75 cents
Adding all these values together: 6 cents + 10 cents + 30 cents + 75 cents = 121 cents or $1.21.
This problem requires understanding of sequence patterns and knowledge of United States coin values to determine the total value of the coins.
Solve for the roots in the equation below...
x^3 - 27 = 0
Answers
3•3•3=27
27-27=0
Jan has 3 1/3 feet of rope to use on a camping trip. Assume 1 foot = 30.48 centimeters. What is the best estimate of the centimeters of rope Jan has?
Answers
A triangle has one angle that measures 15 degrees, one angle that measures 44 degrees, and one angle that measures 121 degrees. what kind of triangle is it
Answers
The given triangle can be known as a scalene triangle.
What is a triangle?A triangle is a two dimensional shape bound by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.
The measures of the different angles are given as 15°, 44° and 121° respectively.
Since, all the angles have different measures.
The given triangle is neither equilateral or isosceles.
Thus, the given triangle is scalene triangle.
Hence, the given triangle can be called as a scalene triangle.
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The Ukita family from Japan probably has a greater ecological footprint than the Wu family from China.
True
False
Answers
Answer:
True
Step-by-step explanation:
If you look at the different countries ranked based off of the size of their ecological footprint, you will see that Japan is ranked around 5 and china around 10.
This means The average ecological foot print of a person living in Japan is larger than a person living in China.
Please help, will give brainliest if you explain
Which ordered pairs are solutions to the following inequality?
(the < has a line under it)
2y - x < -6
Select EACH correct answer
a) (1,-4)
b) (2,-2)
c) (-3,0)
Answers
2(4) - 1 is less than or equal to -6.
8 - 1 is less than or equal to -6.
7 is less than or equal to -6. You know that 7 is greater than -6 so you can cross off A as one of your possible answers.
(2, -2) is (x, y)
2(-2) - 2 is less than or equal to -6
-4 - 2 is less than or equal to -6
-6 is less than or equal to -6. You know that -6 is equal to -6 so you know that B is one of your answer choices.
(-3, 0) is (x, y)
2y - x is less than or equal to -6
2(0) - (-3) is less than or equal to -6
3 is less than or equal to -6. 3 is greater than -6 so C is not your answer.
Only answer choice B fits in with the equation.
how many x-intercepts does the graph of the given equation have?
y= -4x^2+3x-2
a.none
b. one
c. two
D. Three
Answers
The weekly revenue for a company is r equals negative 3 p squared plus 70 p plus 988r=−3p2+70p+988, where p is the price of the company's product. use the discriminant to find whether there is a price for which the weekly revenue would be $18001800.
Answers
Decide which of the two points lies on the graph of the line
2x-5y=-14
A. 2,-2
B. -2,2
Answers
2(-2) - 5(2) = -14
-4 - 10 = -14
-14 = -14
true
hope this helps
What are the coordinates of the vertices of the triangle under the translation (x, y) mc014-2.jpg (x - 1, y - 3)?
(-4, 5), (0, 0), (4, 5)
(0, -8), (-1, -1), (-5, -4)
(5, -4), (0, 0), (5, 4)
(-8, 0), (-1, -1), (-4, -5)
Answers
After applying the translation (x - 1, y - 3), the vertices of the triangle originally at (-4, 5), (0, 0), and (4, 5) will move to new locations (-5, 2), (-1, -3), and (3, 2).
Explanation:The question is about translation in mathematics, specifically in geometry. A translation is a function that moves every point a constant distance in a specific direction. If we have a point at coordinates (x, y), a translation of the form (x - a, y - b) will shift that point a units to the left and b units down:
The point (-4, 5) will shift to (-4 - 1, 5 - 3) = (-5, 2)The point (0, 0) will shift to (0 - 1, 0 -3) = (-1, -3)The point (4, 5) will shift to (4 - 1, 5 - 3) = (3, 2).So, the vertices of the triangle after the translation (x - 1, y - 3) will be (-5, 2), (-1, -3), and (3, 2).
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Vincent has cut three pieces of rope to complete a science project. two pieces are of equal length. the third piece is one-quarter the length of each of the others. he cut the three pieces from a rope 54 meters long without any rope left over. find the number of meters in each piece.
Answers
So we have the equation:-
2x + 0.25x = 54
x = 54 / 2.25 = 24
So the length of the 3 pieces are 24,24 and 6 meters.
Write an equation of the line that passes through (2, 7) and (0, −5)
y=
Answers
Formula for slope: [tex] \frac{y2-y1}{x2-x1} [/tex]
Plug in values:[tex] \frac{-5-7}{0-2} = \frac{-12}{-2} = 6[/tex]
Slope: [tex]6[/tex]
Second, we must plug into point-slope form.
Formula for point-slope: [tex]y - y1 = m(x-x1) [/tex]
Plug in the values: [tex]y - 7 = 6(x-2) [/tex]
Solve.
[tex]y - 7 = 6(x-2) y - 7 = 6x - 12 Add 7 both sides. y = 6x - 5[/tex]
So the equation is: [tex]y = 6x - 5 [/tex]
125 square yards to square meters (to the nearest tenth)
Answers
Antoine is graphing the total number of prizes needed, P, based on the number of entries in a contest, E. He knows that for every 10 entries, he will need 1 prize, and he would like for his graph to show the total number of prizes needed for 100 and 150 entries. Select from the drop-down menus to correctly complete each statement.
To best show this information, the scale for the P-axis of his graph should go from 0 to at least ___ , and the E-axis of his graph should go from 0 to at least ___.
Answers
Yuki has a ribbon that is 11 1/4 feet long. She divides it into pieces that are each 1 7/8 feet long. She uses three piece to make a bow. How many bows can she make in all?
Answers
Elian bought 1.87 pounds of chicken and 2.46 pounds of turkey at the deli about how much meat did he buy altogether
Answers
The total meat Elian bought is 4.33 pounds.
What are some alternative names for arithmetic operations?Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.
Given, Elian bought 1.87 pounds of chicken and 2.46 pounds of turkey at the deli.
∴ The total meat Elian bought is the sum of pounds of chicken bought and pounds of turkey bought.
= (1.87 + 2.46) pounds.
= 4.33 pounds.
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Classify the variable according to the set of numbers that best describes its values, the amount of money m spent is a vending machine. The answers I can chose are. A rational numbers, B Irrational numbers, C integers, D natural numbers
Answers
The variable will be a natural number according to the set of numbers that best describes its values, the amount of money m spent is a vending machine option (D) is correct.
What is the number?A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
It is given that:
The amount of money m spent is a vending machine.
As we know, in the vending machine we cannot insert money in negative quantity.
And integers range from (-∞, ∞)
The real number starts from 1 and continues 2, 3, 4,5 ,6 and so on
Thus, the variable will be a natural number according to the set of numbers that best describes its values, the amount of money m spent is a vending machine option (D) is correct.
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There is a line whose slope is 5 and whose y intercept is 7 what is its equation in slope intercept form ?
Write your answer using integers proper fractions and improper fractions in simplest form
Answers
The equation of the line with a slope of 5 and a y-intercept of 7 is y = 5x + 7.
Explanation:The equation of a line in slope-intercept form is given as y = mx + b, where m is the slope of the line and b is the y-intercept. Given that the slope (m) is 5 and the y-intercept (b) is 7, the equation of the line can be written as y = 5x + 7. This equation tells us that for every increase of 1 on the x-axis, the value of y rises by 5 units, and the line crosses the y-axis at the point (0, 7).
Heterogeneous mixtures can be physically separated into their individual components.
True
False
Answers
True because their different
PLEASE HELP
Mrs. Williams is deciding between two field trips for her class. The Science Center charges $80 plus $5 per student. The Dino Discovery Museum simply charges $7 per student. For how many students will the Science Center charge less than the Dino Discovery Museum charges?
fewer than 40 students
78 or fewer students
78 or more students
more than 40 students
Answers
The Science Center charges $80 plus $5 per student.
The cost is: 5x + 80
The Dino Discovery Museum simply charges $7 per student.
The cost is: 7x
You want the Science Center cost to be less than the other cost, so you write this inequality.
5x + 80 < 7x
Now solve for x
-2x < -80
x < 40
The Science Center costs less for fewer than 40 students.
EXPERTS/ACE ONLY!! explain! Ill mark as brainlist!!
Answers
A rate for internet acess is $5 per month plus $0.25 per hour of use. write a function rule to show how the monthly bill depends on the number of hours used. if you spend one hundred and twenty-two horus in a month, how much will the monthly bill come to
Answers
Answer:
Its A o.22
Step-by-step explanation:
Which expression can be used to convert 80 US dollars (USD) to Australian dollars (AUD)?
1 USD = 1.0343 AUD
1 AUD = 0.9668 USD
Answers
An arithmetic series contains 20 numbers. The first number is 102. The last number is 159. Which expression represents the sum of the series?
Answers
and 57/20=2.85
n=2.85
you would make the sum be 102+1n+2n.......20n= sum
Answer:
It's B
Step-by-step explanation:
20(102+159/2)
Geometry
Given triangle ABC with coordinate A(-2,5),B(-2,2) and C(-4,1) and it’s image A’B’C’ with A’(2,1), B’(-1,1) and C’(-2,-1), find the line of reflection.
The line reflection is at y= __
Answers
(-2,2) (-1,1) M= (-3/2,3/2)
(-4,1) (-2,-1) M= (-3,0)
slope= (3-0)/(0+3)=3/3=1
b 3=b
y=x+3 should be the line of refelction.
Your garden is in the shape of a trapezoid. The width is 2 feet. The parallel bases are 4 feet and 6 feet. What is the area of your garden?
Answers
Width = 2 ft
Parallel bases: 4 ft and 6 ft.
The area is (1/2)(Sum of the bases) x Width.
Therefore the area is
A = (1/2)*(4 + 6)*2
= (1/2)*10*2
= 10 ft²
Answer: 10 ft²
Answer:
10 square feet
Step-by-step explanation:
The explanation is in the picture below.
Your welcome :)
Between which weeks was the change in money earned the greatest?
Answers
Week 1 earned a total of $100 and week 4 earned a total of $120
In ∆ABC, the median AM (M ∈ BC ) is perpendicular to the angle bisector BK (K ∈ AC ). Find AB, if BC = 12 in.
Answers
Answer:
The answer is 6 inches
Step-by-step explanation:
Since the angle is isosceles, angle A and angle B have the same measure,
The sum of the angles of any triangle is 180°.
So 2 times the measure of angle B plus 120° = 180°, then the equation:
Solving for x we get:
Now we use the law of sine on the triangle BMC like this:
Solving for BC we get :
We apply the law of sin again on the isosceles triangle ABC like this:
Solving for AB we get:
6 inches
Answer:
Answer:
The answer is 6 inches
Step-by-step explanation:
Since the angle is isosceles, angle A and angle B have the same measure,
The sum of the angles of any triangle is 180°.
So 2 times the measure of angle B plus 120° = 180°, then the equation:
Solving for x we get:
Now we use the law of sine on the triangle BMC like this:
Solving for BC we get :
We apply the law of sin again on the isosceles triangle ABC like this:
Solving for AB we get:
6 inches
Read more on Brainly.com - https://brainly.com/question/6638938#readmoreStep-by-step explanation:
What is the slope of a line that is parallel to the line represented by the equation 3x + 4y = 12?
Answers
y = (-3/4)x + 3
The slope is now the coefficient of the “x” term.
So the slope of this line is -3/4, so a parallel line must also have a slope of -3/4.
Answer:
- 3/4
Step-by-step explanation:
this answer is correct
A square has an area of 49 units what is the length of each side