The value of x is 32 when l is parallel to m.
What is Angle?A figure which is formed by two rays or lines that shares a common endpoint is called an angle.
In the given figure l is parallel to m.
A transversal is passing through parallel lines hence corresponding angles are formed.
The angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line.
So 2x=64
Divide 2 on Both sides
x=32
Hence the value of x is 32⁰.
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how much larger is the LCM than the gcf of 18 and 27?
Explain for points
50 POINTS FOR WHOEVER ANSWERS THIS CORRECTLY!!!!!!Rotate 270 counter clockwise around the origin and then translate 5 units up
Eight bricks are laid end to end along the edge of a flower bed. Each brick is 8 1/2 inches long. How long is the row of bricks in feet
Answer: The length of row of bricks is 68 inches.
Step-by-step explanation:
Since we have given that
Number of bricks = 8
Length of bricks = [tex]8\dfrac{1}{2}=\dfrac{17}{2}[/tex]
So, Length of the row of bricks is given by
Number of bricks × length of brick
[tex]8\times \dfrac{17}{2}\\\\=4\times 17\\\\=68\ inches[/tex]
Hence, the length of row of bricks is 68 inches.
Luis went to the store and bought 5 and 1/2 pounds of chicken breast for 15.00 what was the cost per pound of chicken breast round to the her test tenth if necessary explain
a lawn mower uses a mixture of gas and oil. for each ounce of oil the mixture contains 10 ounces of gasoline. if the tank holds 99 ounces of the mixture , how many ounces each of oil and gasoline are required to fill the tank completely?
To fill a 99-ounce tank with a 1:10 oil to gasoline ratio, you need 9 ounces of oil and 90 ounces of gasoline.
Explanation:A lawn mower uses a mixture of gas and oil, with a ratio of 10 ounces of gasoline to every 1 ounce of oil. To find out how many ounces of oil and gasoline are required to fill a 99-ounce tank, we set up a proportion.
Let's denote the amount of oil needed as x ounces. Since the ratio is 1:10, then the amount of gasoline needed will be 10x ounces. The sum of oil and gasoline should equal the tank's capacity:
x ounces (oil) + 10x ounces (gasoline) = 99 ounces (total mixture)Combining like terms gives us:
11x = 99Dividing both sides by 11 yields:
x = 9Therefore, there would be 9 ounces of oil and 90 ounces of gasoline (since 10 * 9 = 90) required to fill the 99-ounce tank completely.
Final answer:
A 99-ounce tank requires 9 ounces of oil and 90 ounces of gasoline to be filled completely, keeping the ratio of 1 ounce of oil to 10 ounces of gasoline.
Explanation:
The question is about determining the correct ratio of oil to gasoline needed to fill a lawn mower's tank, which holds a mixture of the two. Specifically, for every ounce of oil, the mixture requires 10 ounces of gasoline. To find out how many ounces of oil and gasoline are needed for a 99-ounce tank, we can set up a simple proportion. Let's denote the amount of oil as 'o' in ounces, and since for each ounce of oil we need 10 ounces of gasoline, we thus need '10o' ounces of gasoline.
The total mixture is given as 99 ounces, which is the sum of oil and gasoline, so we have the equation: o + 10o = 99.Solving for 'o' gives us o = 9. This represents the ounces of oil needed.To find the amount of gasoline, we multiply the amount of oil by 10, giving us 10*9 = 90 ounces of gasoline.Therefore, to fill a 99-ounce tank, we would need 9 ounces of oil and 90 ounces of gasoline.
Can someone help me with at least one problem and tell me how you got the answer
what is the y-intercept of a line thay has a slope of 3 and passes through point (-1,-7)
if you can help that would be amazing
If two triangles have equivalent angle measures, then they are congruent
A number divided by-9 is -16
A spider has 8 legs. An ant has 6 legs. There are a group of spiders and a group of ants. The groups have equal numbers of legs. What is the least number of spiders and ants in each group? Show your work
The least number of spiders is 6 and ants is 8.
What is multiple?In mathematics, multiples are the results of multiplying an integer by a given number.
Manifold is the fundamental definition of multiplicity. A multiple in mathematics refers to the outcome of multiplying two numbers together.
For example, multiples of 5 are: 10, 15, 20, 25, 30…etc. Multiples of 7 are: 14, 21, 28, 35, 42, 49…etc.
Given:
A spider has 8 legs.
An ant has 6 legs.
So, multiples of 8= 8, 16, 24, 32, 40, 48
and, multiples of 6= 6, 12, 18, 24, 30, 36, 42, 48
So, least number of spiders because= 8 x 6= 48
and, least number of ants = 6 x 8 = 48
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3x-0.4(5-2x)=5.6 how do i figure this out
Evaluate 43 – 3m for m = 6.
The sum of the measures of two angles is 180°.
One angle measures 3a and the other angle measures 2a - 25 Find a. Then find the measure of each angle.
How can you use ratios and rates to solve problems?
Ratios and rates are used in Mathematics to solve various problems. They are used in unit conversions through conversion factors, in dimensional analysis, in calculation of relative rates of reaction, and in data measurements for statistical analysis.
Explanation:Using ratios and rates in Mathematics can be extremely useful to solve a wide range of problems. Ratios are a way to compare two or more quantities, and rates are ratios that compare two different units.
For example, conversion factors, generated from ratios of equivalent quantities with different measurement units, can be very helpful in unit conversions. If we know that 2.54 cm is equivalent to 1 inch, we can set up a ratio of 2.54 cm/1 in. and use it as a conversion factor.
Dimensional Analysis is another technique where ratios play a vital role. It involves using rates or conversion factors to convert units. With practice, we can develop good estimation skills with dimensional analysis, guiding us whether our solution seems reasonable or not.
In addition, ratios can be used in Relative Rates of Reaction in Chemistry, where the rate of a reaction may be expressed as the change in concentration of any reactant or product. Depending on the stoichiometry of the reaction, we can relate reactants and products rates to each other.
Moreover, ratios are employed in data measurements, providing detailed information in fields like Statistics. For example, to analyse the data such as exam scores, we can order the results, calculate the differences, and express the results in ratio form.
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(
8x4 y2
)(
12x4 y2
)
Below are two equations. Solve each equation and compare the two solutions. Choose the statement that is true about each solution. (3 points) Equation #1 Equation #2 |2x - 4| = 5 |3x - 4| = -12 Equation #1 and Equation #2 have the same number of solutions. Equation #1 has more solutions than equation #2. Equation #1 has fewer solutions than equation #2. None of the statements above describe the number of solutions to equations shown.
32 divided by 4 equals what
plz answer 10 POINTS
Write an equation for each graph.
how do you know on a right triangle which leg is a or b (Pythagorean Theorem)
The temperature outside Jude's house was -3.7 degrees Celsius. It then decreased by 4.2 decreased by Celsius.
find the y-intercept of 2x - 7y =28
n his free time, Gary spends 14 hours per week on the Internet and 7 hours per week playing video games. If Gary has five hours of free time per day, what percent of his free time is spent on the Internet and playing video games?
yo some one help me plz
What is the value of z 53= -19 + 5 + 7z please explain
An equilateral triangle has an apothem measuring 2.16 cm and a perimeter of 22.45 cm.
What is the area of the triangle, rounded to the nearest tenth?
2.7 cm2
4.1 cm2
16.2 cm2
24.2 cm2
we know that
An equilateral triangle is a regular polygon, because all sides are equal
In a regular polygon the area is equal to
[tex]A=\frac{1}{2}*apothem*perimeter[/tex]
in this problem we have
[tex]apothem=2.16\ cm\\ perimeter=22.45\ cm[/tex]
substitute in the formula
[tex]A=\frac{1}{2}*2.16*22.45[/tex]
[tex]A=24.2\ cm^{2}[/tex]
therefore
the answer is
the area of the triangle is [tex]24.2\ cm^{2}[/tex]
The area of an equilateral triangle rounded to the nearest tenth is 24.2 [tex]cm^2[/tex].
Given the following data:
Apothem of triangle = 2.16 cm.Perimeter of triangle = 22.45 cm.What is an equilateral triangle?An equilateral triangle can be defined as a type of triangle or regular polygon that has equal length of sides.
Mathematically, the area of an equilateral triangle is given by this formula:
[tex]Area = \frac{1}{2} \times apothem \times perimeter[/tex]
Substituting the given parameters into the formula, we have;
[tex]Area = \frac{1}{2} \times 2.16 \times 22.45\\\\Area = \frac{1}{2} \times 48.492[/tex]
Area = 24.246 ≈ 24.2 [tex]cm^2[/tex].
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Jackson flipped a coin ten times. He flipped heads 4 times and tails 6 times. What is the experimental probability that Jackson will flip heads on his next flip?
Answer: 0.4
Step-by-step explanation:
Given : The number of times Jackson tossed the coin = 10
The number of times he got heads = 4
Now , the experimental probability that he will get head on next flip is :_
[tex]\text{P(Head)}=\dfrac{\text{P(Number of times he got head)}}{\text{Number of times he tossed the coin}}\\\\=\dfrac{4}{10}=0.4[/tex]
Thus , the experimental probability that Jackson will flip heads on his next flip is 0.4.
Solve all of them step by step (12 points!)
(a) . 2x + 4(x-1) = 2 + 4x
(b) 25 -x = 15 - (3x +10)
(c) 4x = 2x + 2x +5 (x - x)
Mr. Gehring has a 3/4 pound bag of flour to use 6 cakes. How much flour is. Used for each cake
A Ferris wheel can accommodate 54 people in 24 minutes how many people could ride the Ferris wheel in 2 hours
The number of people ride the Ferris wheel in 2 hours is 270.
What is multiplication?Augmentation is an activity that addresses the fundamental thought of rehashed expansion of a similar number. The numbers that are multiplied are referred to as the factors, and the result that is produced when two or more numbers are multiplied together is referred to as the product of those numbers. Repeated addition of the same number can be made easier by using multiplication.
Given Ferris wheel can accommodate 54 people in 24 minutes
number of people can ride in 1 minute = 54/24
number of minute in 2 hours is 2 x 60 = 120 minutes
no. of people can ride in 2 hours or 120 minutes is
54/24 x 120 = 270
Hence the 270 people could ride the Ferris wheel in 2 hours.
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