1. ∠E and ∠F are vertical angles with m∠E=9x+12 and m∠F=3x+24
What is the value of x?
2. What is m∠KNL?
Answers
Related Questions
How to tell if an equation has no solution without solving?
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x+3=5+x-2
A ray that contains a point that is equidistant from both sides of the angle. *
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Jean has $20 and is going shopping to buy 3 scarves and as many pairs of earrings as possible. How many pairs of earrings can she buy if scarves cost $2.55 each and earrings cost $2.99 a pair?
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What is the slope-intercept form of the linear equation 2x + 3y = 6?
Drag and drop the appropriate number, symbol, or variable to each box.
Answers
we know that
The equation of the line into slope-intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-intercept
we have
[tex]2x+3y=6[/tex]
Isolate the variable y
[tex]3y=-2x+6[/tex]
[tex]y=-\frac{2}{3}x+\frac{6}{3}[/tex]
[tex]y=-\frac{2}{3}x+2[/tex]
the slope is [tex]m=-\frac{2}{3}[/tex]
the y-intercept is [tex]b=2[/tex]
the answer in the attached figure
The slope-intercept form of the linear equation 2x + 3y = 6 is y = (-2/3)x + 2
A linear equation is given by:
y = mx + b;
Where y,x are variables, m is the slope of the line and b is the y intercept.
Given the equation 2x + 3y = 6, to represent in slope intercept form, we have to make it in the form y = mx + b, hence:
2x + 3y = 6
3y = -2x + 6
Dividing through by 3:
y = (-2/3)x + 2
The slope-intercept form of the linear equation 2x + 3y = 6 is y = (-2/3)x + 2
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An ion has a charge of +7. How far is it from being neutral?
A. -0.07
B. -7
C. 7
D. 70
E. 0.7
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Your answer is E. Sorry if wrong hope this helped
(Might be wrong!)
Answer:
B. -7
Step-by-step explanation:
An atom has a neutral charge with equal numbers of positive and negative particles,
That is, an atom with no chargen or 0 charge is called neutral.
Given,
The ion has a charge of +7,
Also, + 7 - 7 = 0,
Thus, for being neutral the ion needs -7 charge,
Hence, option 'B' is correct.
(5h3−8h)+(−2h3−h2−2h)
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= 5h^3 - 8h - 2h^3 - h^2 - 2h
= 3h^3 - h^2 - 10h
First, you would distribute into parentheses but there is nothing
5h^3-8h-2h^3-h^2-2h
Now, separate all into common terms
(5h^3-2h^3)(h^2)(-8h-2h)
Now simplify
3h^3h^2-10h
Find the point on the line y = 92x closest to the point (1, 0)
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[tex]L=\sqrt{(x-1)^2+(92x-0)^2} \\ \\ =\sqrt{x^2-2x+1+8464x^2}=\sqrt{8465x^2-2x+1}[/tex]
For shortest distance,
[tex] \frac{dL}{dx} =0[/tex]
[tex] \frac{dL}{dx} =0 \\ \\ \Rightarrow \frac{16930x-2}{2\sqrt{8465x^2-2x+1}} =0 \\ \\ \Rightarrow16930x=2 \\ \\ \Rightarrow x= \frac{1}{8465} [/tex]
and [tex]y=92\left(\frac{1}{8465}\right)=\frac{92}{8465}[/tex]
Therefore, the required point is [tex]\left(\frac{1}{8465},\ \frac{92}{8465}\right)[/tex]
Simplify 2(x - 4) + 7(x + 2).
9x - 6
9x - 4
9x + 6
Answers
= 2x - 8 + 7x + 14
= 9x + 6
answer
9x + 6
2*x = 2x
2*-4 = -8
Now the equation is (2x-8)+7(x+2). This is where you distribute again.
7*x = 7x
7*2 = 14
The equation is now (2x-8)+(7x+14) which can also be rewritten to be 2x - 8 + 7x + 14. Here you combine like terms through adding.
2x + 7x = 9x
14 - 8 = 6
Remember to always keep the sign of the number when adding. This means your answer would be 9x+6 or 6+9x.
What equation is equivalent to √x+11=15
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Solve for x:
[tex] \sqrt{x}+11=15[/tex]
Add -11 to both sides:
[tex](\sqrt{x}+11)+(-11)=(15)+(-11)[/tex]
[tex]\sqrt{x}=4[/tex]
Sqaure both sides.
[tex]\sqrt{x}^2=4^2[/tex]
[tex]x=16[/tex]
The Answer Is:
[tex]\boxed{x=16}[/tex]
I hope this helped!
-Benjamin
What is the slope of a line that is perpendicular to a line whose equation is 3y=−4x+2 ?
Enter your answer in the box.
Answers
Answer:
the slope is 3/4
Step-by-step explanation:
the slope is 3/4 because 3 is the y line and 4 is the x line giving you 3/4 as your slope.
The slope of the line that is perpendicular to a line whose equation is 3y=−4x+2 is 3/4
The given line equation is:
3y = -4x + 2
Express the equation in the point-slope form of a line equation
The point-slope form of the equation of a line is y = mx + c
where m represents the slope
and c represents the y-intercept
3y = -4x + 2
[tex]y = \frac{-4}{3}x +\frac{2}{3}[/tex]
Comparing the equation [tex]y = \frac{-4}{3}x +\frac{2}{3}[/tex] with y = mx + c:
The slope, m = -4/3
The slope of the line perpendicular to [tex]y = \frac{-4}{3}x +\frac{2}{3}[/tex] will be:
[tex]m_2= \frac{-1}{m} \\\\m_2= \frac{-1}{\frac{-4}{3} }\\\\m_2 = \frac{3}{4}[/tex]
The slope of the line that is perpendicular to a line whose equation is 3y=−4x+2 is 3/4
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Find the value of 21 - 18 ÷ 3 · 2
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18 / 3 = 6 x 2 = 12.
21 - 12 = 9
Answer is 9.
Suppose you put $500 into a bank account today. interest is paid annually and the annual interest rate is 8 percent. the future value of the $500 after 2 years is
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150 adults complete a survey. 80 are women. Write the ratio men:women in its simplest form?
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Total number of adults are 150 that complete the survey in which 80 are women and 70 are men and the ratio of men:women in its simplest form is 7:8 which can be determine by using simple arithmetic operations.
Given :
Total number of adults = 150.
Total number of Women = 80.
Arithmetic operations can be use to determine the total number of Men. To evaluate the total number of men following steps can be use:
Step 1 - Let the total number of men be x.Step 2 - Now, the total number of adults is 150 that is:150 = x + 80 ---- (1)
Step 3 - Subtract 80 from both the sides of the equation (1).150 - 80 = x + 80 - 80
70 = x
Therefore, the total number of men present in 150 adults are 70. Now, the ratio of men:women is given by:
[tex]\rm \dfrac{men}{women} = \dfrac{70}{80}[/tex]
[tex]\rm \dfrac{men}{women } = \dfrac{7}{8}[/tex]
So, the ratio men:women in its simplest form is 7:8.
For more information, refer the link given below
https://brainly.com/question/22687297
Given that x is a positive number, Niram conjectured that x3>x2 .
What value is a counterexample to Niram's conjecture?
−5
110
1
5
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Give the value of x that makes this equation true.
(3)(-4)(x) = (3)(-4)
0
4
1
-3
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The drama club can wash 9 cars in 40 minutes. At this rate, how many cars can they wash in 2 hours?
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2Hr=120min 120/40=3 9*3=27
they can wash 27 cars in 2 hours
What is the value of x
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This triangle is an isosceles triangle. Why? Because when we look at a triangle then we see they put the two little slash, it means that it is an isosceles triangle.
How do we find the missing angles?
The rules says that when we have an isosceles triangle, when we add all the angles together, we should find 180 degree.
We have one angle only, which is 40. What two other numbers we can add to 40 to give us 180.
Well, all we have to do is follow the rules.
They say we need to add all the angles together.
40 + x + x = 180
40 + 2x = 180
2x = 180 - 40
2x = 140
x = 140/2
x = 70
The correct answer is 70.
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Justify my work:
40 + 70 + 70 = 180
40 + 140 = 180
180 = 180
I hope this helps!
which is not a solution of the inequality 5 - 2x at least -3 ?
a.) 0
b.)2
c.)4
d.)5
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select the irrational number? A)√9 B)√12 C)√16 D)√20 E)√25 (there should be more than one answer)
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__________________________
[B]: "√12 " ; AND:
__________________________
[D]: "√20" .
__________________________
Note: "Irrational numbers" have decimals that are: 1) non-terminating; AND: 2) non-repeating.
__________________________
Consider the answer choices given; and consider the given information that there "should be no more than one answer.
__________________________________
Consider the following answer choices:
__________________________________
Choice A) "√9" = 3 . Rule out this choice.
__________________________________
Choice C) "√16" = 4 . Rule out this choice.
__________________________________
Choice E) "√25" = 5. Rule out this choice.
_________________________________
We are left with 2 (two) remaining answer choices:
[B]: "√12" ; and: [D]: "√20" .
_________________________________
If there are more than one answer, then these two choices should be the correct answer. However, let us explore these two choices, using a calculator.
____________________________
[B]: "√12" = 3.4641016151377546
[D]: "√20" = 4.4721359549995794
_________________________________
These two answer choices should the correct answers.
A discount store marks up the merchandise it sells by 55% if the whole sale price of a particular item is $25 what should the retail price be set at
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100+55 = 155% of the original price - 1.55 as a decimal number
25 x 1.55 = $38.75
Thursday is 3 days before 2 days before today. what was yesterday?
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Thursday is 3 days before 2 days before today.
So Thursday was 5 days ago..
5 days after Thursday is tuesday
If today is tuesday tomorrow is wednesday
"Thursday is 3 days before 2 days before today. "
This means Thursday is 5 days before Today.
So, what is 5 days after Thursday?
It is Tuesday [which is Today].
If today is Tuesday, what was yesterday? It was Monday.
ANSWER: Monday
The sum of three numbers is 62. The second number is equal to the first number diminished by 4. The third number is four times the first. What are the numbers?
Which three expressions could be used to represent the numbers?
n; n - 4; 4n
n; 4 - n; n + 4
n; n/4; n + 4
Answers
"The sum of three numbers is 62..." translates to the expression:
? + ? + ? = 62
We aren't given any modifications to the first number, so let's just pick a variable n to represent it.
n + ? + ? = 62
The second number is "equal to the first number diminished by 4. We can interpret "diminished by 4" as meaning "subtracted by 4," so we now have:
n + (n - 4) + ? = 62
And finally, we have that the third number is "four times the first," which evidently implies multiplication of the first number by 4. Which gives us:
n + (n - 4) + (4n) = 62
At this point, we don't even need to solve for n, since we already have our three expressions, and those are n, n - 4, and 4n.
A set of positive and negative rational numbers are shown. 715 , –215 , 1115 , 415 , –815 What is the difference between the largest and the smallest numbers in the list?
Answers
The smallest -815
to get the range, subtract smallest from largest
1115 - (-815) = x
x = 1930
The difference is 1930
hope this helps
Select the property that allows the statement 10 = y to be written y = 10. Commutative - additionDistributive Associative - multiplication Symmetric Commutative - multiplication Associative - additionIdentity - addition
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The answer is Commutative
because according to this property
a=b
b=a
4. The perimeter of a church window is 60 inches. If the window is in the shape of a regular pentagon, what is the length of each side of the window? A. 12 inches B. 6 inches C. 8 inches D. 10 inches
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Complete the point-slope equation of the line through (-4,8) and (4,4)
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[tex]y-y_{1} = m(x-x_{1})[/tex]
First, we need to find the m value, or slope. We can do this by using this equation:
[tex]y_{2} - y_{1 }= x_{2} - x_{1}[/tex]
4 - 8 / 4 + 4 = -4/8 = -1/2
m = -1/2
Now, select one of the coordinate points, input those values and m, and solve for b.
4 = -1/2(4) + b
4 = -2 + b
Add 2 to both sides.
6 = b
y = -1/2x + 6
Now, input any number for x (I prefer 0, the y-intercept), and solve for y.
y = -1/2(0) + 6
y = 6
(0, 6)
After doing that, you can input that coordinate point into Point-Slope Form.
y - 6 = -1/2(x - 0)
Answer:
Step-by-step explanation:
4 gallons of paint cover 1,400 square feet. How much does 7 gallons of paint cover? (Solve with Porportion)
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Multiply that by 7
350 times 7 equals (2,450)
2450 sq ft is the answer
How to turn a repeating decimal into a fraction 0.1515?
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take the first 2 numbers and put them over 99
so 0.151515 would become 15/99
After 15 minutes a train has moved 9/2 miles towards its destination. How many miles per minute is the train moving
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At a bargain store tanya bought three items that each cost the same amount. tony bought 4 items that each cost the same amount, but each was $2.25 less than the items than the items that tanya bought both tana and tony paid the same amount of money what was the individual cost of each persons item