If m∠2=6x+8 and m∠6=8x-6, find the value of x so that l||m.
Answer:
x = 7
Step-by-step explanation:
∠2 and ∠6 are known as alternate interior angles. These angles equal one another. Set up the following equation and solve for x.
[tex]m\angle2=m\angle6\\\\6x+8=8x-6\\\\8=2x-6\\\\14=2x\\\\7=x[/tex]
given:3(x-5)+1=10 prove:x=8
Answer:
x=8
Step-by-step explanation:
3x-15+1=10
3x=10+15-1
3x=24
x=24/3=8
easy
Which expression shows the number 19.65 correctly decomposed?
19 + 0.6 + 0.05
10 + 9 + 0.6 + 0.05
10 + 0.6 + 0.05
19 + 9 + 0.6 + 0.05
Answer: 10 + 9 + 0.6 + 0.05
Answer:
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Step-by-step explanation:
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What is the answer please?
Answer:
its f
Step-by-step explanation:
Answer:
H. [tex]x\leq -5[/tex]
Step-by-step explanation:
hope this helps!
Which equation represents the same line as the points in the table
Answer: 1st one
Step-by-step explanation:
If it took 3 hours to clean 5 houses, how many houses could be cleaned in 9 hours?
help with this questions please!
Answer:
Area = 1/4 * pi * diameter^2
The area is 78.5^2
Which equation represents this statement?
5 times the sum of 7 and a number is 40.
5(n+7)=40
5 + 7n = 40
5⋅7+n=40
5n + 7 = 40
Answer:
5(n+7)=40
Step-by-step explanation:
It's 5(n+7)=40 because 5 + 7n = 40 and 5n + 7 = 40 is addition not multiplication, and 5⋅7+n=40 is saying 5 times seven plus a number is 40, therefore 5(n+7)=40 is the correct answer because the parenthesis in (n+7) seperates it from 5 so that you have to get the sum of (n+7) before you can multiply it by 5.
The required equation for the given case is 5(n + 7) = 40.
What is a Linear equation?A linear equation is a equation that has degree as one.
To find the solution of n unknown quantities n number of equations with n number of variables are required.
The given word problem can be solved as follows,
Suppose the unknown number be n.
Then, 5 times the sum of the number and 7 can be written as an expression as,
5(n + 7)
Now, as per the question the following equation can be written,
5(n + 7) = 40
Hence, the equation for the given word problem is 5(n + 7) = 40.
To know more about Linear equation click on,
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Can someone please help me solve this
PLEASE HELP! 20 POINTS
What is the x-intercept of the line with this equation -2x+1/2y=18?
Enter your answer in the box
( ,0)
Answer:
x - intercept = - 9
Step-by-step explanation:
To find the x- intercept, let y = 0 in the equation and solve for x
- 2x + [tex]\frac{1}{2}[/tex] (0) = 18
- 2x + 0 = 18
- 2x = 18 ( divide both sides by - 2 )
x = - 9 or (- 9, 0 ) in coordinate form
what is the LCM of 900 and 30000
Answer: 90,000
To find the LCM (Least Common Multiple) of a number, list the multiples of each number.
Multiples of 900
Since they're a lot, we will extend it to the short version.
900, 2700, 9900, 37800, 85500, 90000
Multiples of 30000
30000, 60000, 90000, 120000, 150000
Looking at both multiples, the least common multiple is 90000, as it is listed in both 900 and 30000.
Hence, 90,000 is the answer.
Can someone help me with this?
Answer:
the 20 dollars = the slope
the fee = the y-intercept
if a line has a slope of 20 and passes through the point (7,200), then what is the y-intercept?
y-intercept is 60
The sum of 3 odd integers is 33. what is the second integer? (and how would I show my work)
A pilot needs to know if a plane with clear the tower. The plane will travel 1300 yards before lifting off the ground to travel another 705 yards after which point the plane will be directly over the tower. If the plane had continued on the runway, it is another 700 yards to the control tower, which is 250 feet high.
Answer:
The statement that best describes how to determine if the plane clears the tower is;
Use the Pythagoras Theorem where the distance to the tower is a leg of the right triangle and the distance in the air is the hypotenuse. Find the other leg. Convert to feet to compare to the tower height
Step-by-step explanation:
The given parameters are;
The length the plane will travel before lifting = 1300 yards
The distance further the plane will travel after lifting off the ground = 705 yards
The horizontal distance from the point of lifting off the ground to control tower = 700 yards
The distance of the path of the plane after lifting off the ground, the horizontal distance from the point of lifting off the ground to control tower and the height of the control tower form a right triangle with sides given as follows;
The distance of the path of the plane after lifting off the ground = The hypotenuse side of the triangle
The horizontal distance from the point of lifting off the ground to control tower and the height of the control tower = The two legs of the right triangle
Let h, represent the height of the control tower, let x represent the horizontal distance from the point of lifting off the ground to control tower and let R represent the distance of the path of the plane after lifting off the ground, we have;
h = √(R² - x²)
We have;
R = 705 yards
x = 700 yards
∴ h = √(R² - x²) = h = √(705² - 700²) = 5·√281
The height of the control tower, h = 5·√281 yards
1 yard = 3 feet
∴ 5·√281 yards = 3 × 5·√281 feet ≈ 251.446 feet
Therefore, given that the height of the control tower = 250 feet, the plane at the height of approximately 251.446 feet clears the tower.
can someone lease tell me the answer to this question i'm abt to ask? what is 1 + 1/4?
Answer:
1 1/4 or 5/4 or 1.25
Step-by-step explanation:
For every 1000 veiws a tv showgets it makes £2 from ad revenue.
How many veiws are required to make £21?
Answer:
10500 views.
Step-by-step explanation:
If 1000 views is £2 then 500 views would be £1 so 2 x 10 = 20 so 10,000 views and 500 more to make it £21 pounds.
Hello, may I ask? uh, what is the formula for finding the mark up rate? original price and mark up price is given.. thank you!
Step-by-step explanation:
Let original price is C and mark up price is M.
The rate would be the percent change:
r = (M - C)/C*100%Can someone pls help me
Solve for x
Please show ur work
Answer:
9=x
Step-by-step explanation:
80º=(8x+8)º
80=8x+8
Subtract 8 from both sides of the equation.
72=8x
Divide 8 from both sides of the equation.
9=x
Hope this helps :)
Please help. ( WILL MARK BRAINLIEST)
Answer:
499.2 cm^2
Step-by-step explanation:
((12*10.4)/2)*8=6*10.4*8=499.2
Formulas Used:
Area of triangle - 1/2bh
Evaluate if a = - 3 and b = 2
-3a/B^2
Answer:
9/4
Step-by-step explanation:
= -3a
= -3(-3)
= 9
=B^2
= (2)^2
=4
therefore answer: 9/4
convert 40 yards to feet
Answer:
120 feet
.................................
Step-by-step explanation:
1 yard = 3 feet
Please help me
Thank you x
Answer:
l think that the answer is 56576
How many times in a 24-hour day will the hour and minute hands of a 12-hour analog clock form a 90-degree angle
Answer:
44
Step-by-step explanation:
In other words, the minute hand "overtakes" the hour hand on 44 occasions in 24 hours in order to give a 90 degree angle. Therefore the answer to your question is 44.
Answer:
the answer would be eight
Step-by-step explanation: it would hit the first 90 degree angle when the hour is at twelve and the minutes at 15 then 12 and 45 then 3 and 30 and three and 12 then 6 and 15 and six and 30 then 9 and 30 then 9 and 12 .
Determine if the point is a solution to the system of linear equations [tex] \huge \{{ \large \begin{array}{} 2x + 3y = 2 \\ 6y = 5 - 4x \end{array}} [/tex]
Answer:
The system has no solutions.
Step-by-step explanation:
If you stare at it for the bit you can tell the system is impossible. Let's see why:
First of all, rewrite the second equation by bringing all unknowns on the LHS:
[tex]4x+6y=5[/tex].
Then take twice the first equation, doubling every coefficient:
[tex]4x+6y=4[/tex] See how the LHS is the same? The system is asking you to find a quantity (4x+6y) which is at the same time equal to four AND five - emphasis on that "and" - which is obviously impossible, because it implies that 4=5. So the point - which you didn't provide - is not a solution. Nor is any other point.
How many square metres of wallpaper are needed to cover a wall 8 metres long and 3 metres high? Can some one help me with this please?
Answer:
24 square meters of wallpaper
Step-by-step explanation:
Hope this helps.
The radius of a circle is 15 inches. What is the circumference of the circle? Write your answer using .
Answer: C ≈ 94.25 in
Step-by-step explanation:
A comic book store is having a sale. You can buy 20 comic books for 35$. What is the cost of 8 books during the sale?
Answer:
$14
No explanation yet.
Answer:
$14
Step-by-step explanation:
14 dollars
Combine the like terms to create an equivalent expression:
-n+(-4)-(-4n)+6}
Is it possible to have a triangle with the following sides?
a) 9 cm, 40 cm , 41 cm b) 5.4 cm, 3 cm, 2 cm
Answer:
In My Opinion, A
Step-by-step explanation:
the measurements are obeying the rule of Pythagorean triplet.
Hence,
This rule also satisfies Pythagorean theorem.
So therefore,
The triangle is a right angled triangle.
I hope this helps
1/2 hours: $1.25 What is the unit rate per hour?
Answer:
$2.5/hr
Step-by-step explanation:
1/2 hr = 1.25
(1/2 hr)x2 = $1.25 x 2
1 hr = $2.5