Answer:
x = 5
Step-by-step explanation:
We need to remember that vertical angles are opposite to each other when two lines cross. The vertical angles that result from two lines crossing have the same measure.
In this problem we have angle E which measures 8x + 8 and angle F which measure 2x + 38.
Since they are vertical angles, we know that they have the same measure and therefore we can equal them both and solve for x:
[tex]8x+8=2x+38\\8x-2x=38-8\\6x=30\\x=5[/tex]
Therefore, x = 5 (and ∠E = ∠F = 48)
How can you determine whether an equation is linear or non-linear?
the angles formed by two perpendicular lines have a measure of _______.
A.45°
B.90°
C.135°
D.180°
thank in advance!! ☺
Talia gave her hairdresser a 20 percent tip, which amounted to $7. What was the price of the service before the tip?
The price of the service that was charged before the tip was:
$ 35
Step-by-step explanation:Let the price of the service be $ x.
Now it is given that:
Talia gave her hairdresser a 20 percent tip, which amounted to $7.
This means that the 20% of total service charge=7
i.e. 20% ×x =7
i.e. 0.20×x=7
i.e. x=7/0.20
i.e. x=35
Hence, the price of the service that was paid before the tip is: $ 35
solving with systems of equations using elimination! please help me. thank u!
One 10-ounce soft drink contains about 8 teaspoons of sugar. How much sugar would be in three 10-ounce drinks ?
What is the reciprocal of each mixed number? Drag and drop the answer into the box to match each number.
10 1/3
2 2/3
5 1/3.
Answer:
10 1/3 = 3 /31. 2 2/3 = 3/8. 5 1/3 = 3/16.
Step-by-step explanation:
i took the k12 test and got 100 percent hope this helps!!
May I acquire some help on this homework as it is due tomorrow.
dakota runs a half marathon every 6 weeks. madison runs a half a marathon every 15 weeks. how many weeks untill they will run together?
To determine when Dakota and Madison will run a half marathon on the same week, we calculate the least common multiple of their running intervals, which is 60 weeks.
Explanation:The question is to find out how many weeks will pass until Dakota and Madison will run a half marathon on the same week.
We need to find the least common multiple (LCM) of their running intervals, which are 6 weeks for Dakota and 15 weeks for Madison.
To find the LCM, you can list the multiples of each number until you find the smallest number that appears in both lists.
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ...Multiples of 15: 15, 30, 45, 60, ...Here, we see that the smallest common multiple is 60 weeks.
Therefore, Dakota and Madison will run a half marathon together in 60 weeks.
a family went on a vacation and used 5.4 gallons of gasoline to travel 150 miles. how many total gallons of gasoline will they need to travel 200 more miles?
4x-8y=24 find the x-intercept and y- intercept on the graph
The perimeter of the isosceles ΔABC with the base
BC is equal to 40 cm. Perimeter of the equilateral ΔBCD is 45 cm. Find BC and AB.
The length of BC is 15 cm and the length of AB is 12.5 cm.
The given parameters;
perimeter of isosceles ΔABC = 40 cmbase of the isosceles triangle = BCPerimeter of the equilateral ΔBCD = 45 cmAn equilateral triangle has three equal sides and the length of each side is calculated as;
[tex]|BC| = |BD| = |CD| = \frac{45}{3} = 15 \ cm[/tex]
Thus, the length of BC is 15 cm.
An isosceles triangle has two equal sides and a third side of different length. This third side is usually the base of the triangle.
The base of the isosceles triangle = BC = 15 cmThe two remaining sides = AB and AC[tex]|AB| = |AC| =\frac{Perimeter \ - \ |BC|}{2} = \frac{40 - 15}{2} = 12.5 \ cm[/tex]
Thus, the length of AB is 12.5 cm.
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Represent real-world situations a rectangular piece of sheet metal is rolled and riveted to form a circular tube that is open at both ends, as shown. the sheet metal has a perimeter of 36 inches. each of the two sides of the rectangle that form the two ends of the tube has a length of x inches, and the tube has a circumference of x - 1 inches because an overlap of 1 inch is needed for the rivets. write a volume function for the tube in terms of x. then, to the nearest tenth, find the value of x that maximizes the volume of the tube. answer
Simplify the expression, if possible. (if the expression cannot be simplified, enter the given expression.) (k − 5)13 (k − 5)
Let f (x) = 2x - 1, g(x) = 3x, and h(x) = x2 + 1. Compute the following: f (h(x)) and. g (f (x))
ALGEBRAAA
1. What is the average rate of change? How do you find it?
2. Whats the difference between recursive and explicit formulas?
1. The average rate of change is the slope of a line to find it divide the vertical change by the horizontal change
2. recursive is a formula to calculate the next term, depending on what the previous term was
Explicit is a formula to calculate any term depending on the term number
Suppose that the time it takes to do a job is inversely proportional to the number of workers. that is, the more workers on the job the less time required to complete the job. if it takes 2 workers 8 days to finish a job, how long will it take 8 workers?
the table shows the volume of gasoline in a gas tank at different times. Find th e rate of change for each time interval. During which time interval did the volume decrease at the greatest rate?
To find the rate of change for each time interval, calculate the difference in volume for each interval and divide it by the difference in time. Compare the rates of change to determine the time interval with the lowest rate of change.
Explanation:To find the rate of change for each time interval, we need to calculate the difference in volume for each interval and divide it by the difference in time. Let's assume the time intervals are 12-18 hours, 18-24 hours, and 12-24 hours. The rate of change for each interval can be calculated as follows:
Rate of change for 12-18 hours = (Volume at 18 hours - Volume at 12 hours) / (18 hours - 12 hours)
Rate of change for 18-24 hours = (Volume at 24 hours - Volume at 18 hours) / (24 hours - 18 hours)
Rate of change for 12-24 hours = (Volume at 24 hours - Volume at 12 hours) / (24 hours - 12 hours)
The time interval during which the volume decreased at the greatest rate will be the interval with the lowest rate of change. Compare the rates of change calculated for each interval to find the time interval with the lowest rate of change.
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Solve 9x-y=45, solve for y
In a country where prices are rising quickly, bread that now costs $1.39 will cost 2.4 times as much next year. How much will the bread cost next year
multiply the current price by the increase
1.39 * 2.4 = $3.34 ( price next year)
Can someone please help?
thanks :)
a text book costs $108.00. if mathew paid a total of $113.94 for the book and sales tax, what rate of sales tax was he charged?
The expression $1.25p + $3.50 can be used to calculate the total charge for printing p pages at a business service store. How much would it cost to print 8 pages
Ari writes 2 + 4 on the left-hand side of his paper. Then he writes 6 to the right of the expression. Which symbol should Ari write between the two sets of numbers?
A.
+
B.
?
C.
=
Plz help will rate 19 pts
The correct symbol that Ari should write between the two sets of numbers is C. =.
When Ari writes "2 + 4" on the left-hand side of his paper and then writes "6" to the right of the expression, he is indicating that the sum of 2 and 4 is 6. The symbol "=" is used to denote equality, meaning that the value on the left side of the equation is the same as the value on the right side. In this case, the sum of 2 and 4 indeed equals 6, so the complete equation should be written as:
[tex]\[ 2 + 4 = 6 \][/tex]
This shows that the operation of adding 2 and 4 results in the number 6, which is a true statement. Therefore, the correct answer to the question is option C, the equals sign "=".
What number produces a rational number when added 1/5
Anna is 4ft 9in tall. Express Anna's height in feet only by using a mixed number. If necessary, simplifyvthe fraction part of the mixed number
what are the solutions to the quadratic equation of 2x^2-16x+32=0 show work?
Answer:
The Answer is 4
Step-by-step explanation:
2x² - 16x + 32 = 0
we would multiply 2x² and 32
= 64x²
then factorise 64x² such that the sum of the two nos = -16 AND the product of the nos = 64
the only value that satisfies this condition is -8 (-8 + -8 = -16, and -8 * -8 = 64)
so our equation becomes0 = 2x² - 8x -8x + 32
0 = (2x² - 8x) (-8x +32)
we bring out common terms i.e. factorise it2x(x - 4) -8(x - 4)
0 = (2x - 8) (x - 4)
0 = 2x - 8 or 0 = x - 4
8 = 2x or 4 = x
x = 8/2 or 4
x = 4 or 4
x = 4
hope it was clear
using exponents, what is the simplified form of the expression 2^4*2^7?
To simplify 2^4\*2^7, you add the exponents because the bases are the same, resulting in 2^11 which equals 2048.
Explanation:When simplifying the expression 2^4\*2^7, we use the property of exponents that states when multiplying two exponential terms with the same base, you add the exponents. So, the simplified form of the expression would be 2^(4+7) which is 2^11. Since we are adding the exponents, this process is known as the sum of exponents and is a fundamental concept in the squaring of exponentials.
To calculate 2^11, you would multiply 2 by itself 11 times, but for the sake of simplicity, the answer is 2048.
which of the following is the equation of a line perpendicular to the line y= -3/2x+4 and passes through the points (3,9)
Answer:
[tex]2x-3y+21=0[/tex]
Step-by-step explanation:
We are given that an equation
[tex]y=-\frac{3}{2}x+4[/tex]
We have to find an equation of line which is perpendicular to given line and passing through the point (3,9).
We know that when two lines of slope [tex]m_1\;and\;m_2[/tex] are perpendicular then
[tex]m_1=-\frac{1}{m_2}[/tex]
By comparing with
[tex]y=mx+b[/tex]
Where m=Slope of line
Slope of given line=[tex]=m_1=\frac{-3}{2}[/tex]
Slope of the line=[tex]-\frac{1}{m_1}=-\frac{1}{\frac{-3}{2}}=\frac{2}{3}[/tex]
Slope of the line=[tex]\frac{2}{3}[/tex]
The equation of line passing through the point (3,9) is given by
[tex]y-y_0=m(x-x_0)[/tex]
Substitute the values
The equation of line which passing through the point (3,9) is given by
[tex]y-9=\frac{2}{3}(x-3)[/tex]
[tex]3y-27=2(x-3)[/tex]
[tex]3y-27=2x-6[/tex]
[tex]3y=2x-6+27[/tex]
[tex]2x-3y+21=0[/tex]
Match the expression with its name. 9x4 – 3x + 4
Answer:
fourth degree trinomial
Step-by-step explanation:
The line x - y = 5 passes through which set (-5, 0) (0, 5) (0, -5)