The required value of x is 40 which is determined by the substitute that equals the vertical angles.
What are the vertical angles?When two lines intersect at a location, vertical angles are generated. They are always equal to each other.
As per the given accompanying diagram, lines AB and CD intersect at point E.
Since ∠AED and ∠BEC are vertical angles then they are congruent, thus
⇒ ∠AED = ∠BEC
⇒ (x + 10) = 50
Subtract 10 from both sides of the above equation,
⇒ x + 10 - 10 = 50 - 10
⇒ x = 40
Thus, the required value of x is 40.
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use distributive property to simplify -1(4+x)=6
Answer:
[tex]\huge\boxed{\boxed{x=-10}}[/tex]
Step-by-step explanation:
Hello.
The Distributive Property states that
a(b+c)=ab+ac
Simplify:
-1(4+x)=6
-4-x=6
Add 4 to both sides:
-4+4-x=6+4
-x=10
Divide both sides by -1 in order to get rid of the minus sign:
x=-10
And we're done!
I hope it helps & have an outstanding day!
~ST2710 :)
What is the length of x?
Answer:
The length of 'x' is 4
Step-by-step explanation:
We can use the pythagorean theorem to solve this.
The pythagorean theorem is:
[tex]a ^{2} + b^{2} = {c}^{2} [/tex]
[tex]a ^{2} + b^{2} = c^{2} \\ {3}^{2} + {b}^{2} = 5^{2} \\ 9 + {b}^{2} = 25 \\ \frac{ - 9 \: \: \: \: \: \: \: \: = - 9}{b ^{2} = \sqrt{16} } \\ b = 4[/tex]
Therefore x = 4
What is the value of sin {3sin^-1 (2/5)} ?
Answer:
[tex]\displaystyle \frac{118}{125}[/tex]
Step-by-step explanation:
Trigonometry
Calculate
[tex]\sin (3\sin^{-1}(2/5))[/tex]
We use the formula for the sine of triple angle:
[tex]\sin 3x=3\sin x-4\sin^3 x[/tex]
And recall:
[tex]\sin \sin^{-1}x=x[/tex]
For this problem, we set:
[tex]x=\sin^{-1}(2/5)[/tex]
Thus:
[tex]\sin 3x=3\sin (\sin^{-1}(2/5))-4\sin^3 (\sin^{-1}(2/5))[/tex]
[tex]\displaystyle \sin 3x=3*\frac{2}{5}-4\left(\frac{2}{5}\right)^3[/tex]
[tex]\displaystyle \sin 3x=\frac{6}{5}-4*\frac{8}{125}[/tex]
[tex]\displaystyle \sin 3x=\frac{6}{5}-\frac{32}{125}[/tex]
[tex]\displaystyle \sin 3x=\frac{6*25}{125}-\frac{32}{125}[/tex]
[tex]\displaystyle \sin 3x=\frac{150-32}{125}[/tex]
[tex]\mathbf{\displaystyle \sin 3x=\frac{118}{125}}[/tex]
Each patron pays an annual fee of $36 to the library at the library collects $20,304 for an annual fee how many patrons are there
VWXY is a parallelogram. Find the measure of XY and WY
Answer:
WY = 30
XZ = 10.5
Step-by-step explanation:
Paralellogram's diagonal's bisect eachother
Therefore,
[tex]n + 7 = 3 n[/tex]
Move the n over,
2n = 7
Divide both sides by 2,
n = 3.5
WY = 2(ZY) because definition of bisector
Simplify...
WY = 2(4n+1)
WY = 2(4(3.5)+1)
WY = 2(15)
WY = 30
You asked for XY, but the question asks for XZ, so I'm going to give XZ.
With n = 3.5 from above,
XZ = 3n
XZ = 3(3.5)
XZ = 10.5
The measure of XY and WY are; WY = 30 and XZ = 10.5
What is a parallelogram?That quadrilateral in which opposite sides are parallel is called a parallelogram.
Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.
Since Paralellogram's diagonal's bisect each other
Therefore,
2n = 7
Divide both sides by 2;
n = 3.5
WY = 2(ZY)
because definition of bisector
Simplify;
WY = 2(4n+1)
WY = 2(4(3.5)+1)
WY = 2(15)
WY = 30
we asked for XY,
With n = 3.5 from above,
XZ = 3n
XZ = 3(3.5)
XZ = 10.5
The measure of XY and WY are; WY = 30 and XZ = 10.5
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What is the elevation of the deck where Winston ate dinner?
plz helppp
Question:
What is the elevation of the deck where Winston ate dinner?
Answer:
The surf shop was higher and the distance would be 12.8 feet above the oceans surface.
12.8
Step-by-step explanation:
LOOK AT PICTURE, THEN ANWSER, WHOEVER IS CORRECT I WILL MARK BRAINIEST:)
Answer:
C
Step-by-step explanation:
It has to be either A or C because the function is decreasing as you move left to right, this only occurs when the number inside parenthesis is less than 1.
It isn't A because if you plug in x=0, the value is 2, but on the graph it is greater than 2.
pleae give thanks by hitting heart button :)
Which is an x-intercept of the graphed function?
O (0,4)
O(-1,0)
O (4, 0)
O (0,-1)
Answer:
(x, y)
(-1,0)
since the rest of the points aren't in the multiple choice well it's (-1,0)
The solution is : the correct option is (B) (-1, 0), is an x-intercept of the graphed function.
Here, we have,
We are given to find the x-intercepts of the graphed function.
We know that
x-intercepts of a function are the points on the X-axis through which the graph of the function is crossing.
From the graph, we see that
the curve is crossing the X-axis at the points (-2, 0) and (-1, 0) .
Therefore, the x-intercept of the given function is (-1, 0).
Option (B) is CORRECT.
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Can someone who is good at math help me with my homework I can pay you!!!
how can you isolate the varible f
Answer:
Step-by-step explanation:
The basic technique to isolate a variable is to “do something to both sides” of the equation, such as add, subtract, multiply, or divide both sides of the equation by the same number. By repeating this process, we can get the variable isolated on one side of the equation.
What is the value of a3 - b2 for a = 3 and b =1/2 ?
Step-by-step explanation:
a = 3[tex]b = \frac{1}{2} [/tex]Answer
[tex] {a}^{3} - {b}^{2} [/tex]
[tex] = {3}^{3} - { \frac{1}{2} }^{2} [/tex]
[tex] = 27 - \frac{1}{4} [/tex]
[tex] = \frac{107}{4} [/tex]
[tex] = 26 \frac{3}{4} [/tex]
sorry if wrong :)
Which of the following letters have perpendicular line segments.
A E F H MNV X Z
Answer:
I think it's E, F, H
Step-by-step explanation:
Hope you got it.
Merry Christmas...
can u pls help me with this question asap
Answer:
$13.50
Step-by-step explanation:
5 bags is 22.50 so 22.50/5 = 4.50 for 1 bag. Multiply that by 3 for 3 bags and get $13.50
Helppppppppppppppppppppppppp please :)
Answer:
use your scientific calculator and click shift + mode or just mode , after that select the table option and enter the equation that u see and then set the step to 1 (start = -2 , end = 3) and step =1
Answer this question please thanks
Answer:
The amount of intrest gained was B. $7.50
Step-by-step explanation:
Mark invested $125.
He gaines 3% per year and he did it for 2 years.
.03 x 2 =.06
125 x .06 = 7.50
B. $7.50
Hope this helps!
:)
Helppppppppp please?
Answer:
c. 2640
Step-by-step explanation:
20 x 12 x 11 = 2640
Answer: C. 2,640
Step-by-step explanation:
Picture below
mathematics
Answer:
false
Step-by-step explanation:
5/9 is .5 repeating
Y=log base(rootx) x find dy/dx
Given:
[tex]y=\log_{\sqrt{x}}x[/tex]
To find:
The value of [tex]\dfrac{dy}{dx}[/tex].
Solution:
We have,
[tex]y=\log_{\sqrt{x}}x[/tex]
It can be written as
[tex]y=\log_{\sqrt{x}}(\sqrt{x})^2[/tex]
Using property of log, we get
[tex]y=2[/tex] [tex][\because \log_aa^x=x][/tex]
Now, differentiate both sides with respect to x.
[tex]\dfrac{dy}{dx}=\dfrac{d}{dx}(2)[/tex]
[tex]\dfrac{dy}{dx}=0[/tex] [tex][\because \dfrac{d}{dx}(Constant)=0][/tex]
Therefore, the value of [tex]\dfrac{dy}{dx}[/tex] is 0.
Given the following list of data, find the median.
1,3, 1.23, 2, 4, 22, 13, 26. 8
Answer:
solution
or, (N+1) th item
_
2
or ,8+1 th item
_
2
or,9
_
2
or,4.5 th item hence the median is4
The median of the given numbers will be 8.5.
What is the median?The Median is the middlemost value of the numbers arranged in ascending orders. If the number of the data is an odd number so the median will be a middle number if the number of the data is even then the median is the mean of the middle two numbers.
The given data is:-
1 , 1.23 , 2 , 3 , 4 , 13 , 22 , 26.8
The total numbers of the data are 8 so the median will be calculated as:-
Median = ( 4 + 13 ) / 2
Median = 17 / 2
Median = 8.5
Therefore the median of the given numbers will be 8.5.
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Please help me I mark u brainiest like it and rate it five stars please help
Answer:
The 30, goes all the way down, in the empty spot by the 2, put in a 5, then below it a 10
Step-by-step explanation:
Answer:
30/ [5x2]
30/ 10=3
Step-by-step explanation:
Macy wants to sell her old Playstation 4 games on decluttr.com. The wtbsite charges sellers a comission of 20%
for items sold on their website. If Macy sells a Playstation 4 game on the website for $35.00. How much willshe
actually receive?
Answer:
$28
Step-by-step explanation:
The website charges 20%, so Macy receives 80%.
Then:
80% x 35=.8 x 35=28 ....................
Help me ASAP please
What is the difference between Susan’s and Jim’s lawn-care businesses in the amounts they charge for 10 hours of work?
Answer:
Let's assume that Susan's graph is linear. Then, we can do linear interpolation. Let y be the amount charged for 10 hours of work done:
(7-10)/(7-11) = (168-y)/(168-264)
y = $240
For Jim's Lawn care, let's find the constant slope using points (1,20) and (2,40):
m = (20 - 40)/(1-2) = 20
Then, since the y-intercept is zero, the linear equation is:
y = 20x
Substituting x = 10 hours,
y = 20(10) = $200
The difference between the two would then be:
Difference = $240 - $200 = $40
subtract 3 from 4 times m
Answer:
-1
Step-by-step explanation:
not sure if the equation is 3-4m or 3-4 but it's -1 if the equation is 3-4
This one too!!! This is from the same project that I was struggling with and was similar to the other problem but I couldn't figure it out.
9514 1404 393
Answer:
y = 1/4x^1 -x -4
Step-by-step explanation:
Same question as previous parts. The working is identical, using different numbers.
Focus-vertex distance is (y-difference) p = -4-(-5) = 1. Vertex is (h, k) = (2, -5). Putting these values into the vertex form and expanding to standard form, you get ...
y = (1/(4p))(x -h)^2 +k
y = 1/4(x -2)^2 -5 . . . . . . . . fill in the values for p, h, k
y = 1/4(x^2 -4x +4) -5 . . . . expand the square
y = 1/4x^2 -x +1 -5 . . . . . . . use the distributive property to eliminate parens
y = 1/4x^1 -x -4 . . . . . . . . . collect terms
_____
Additional information may be found at ...
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You employ 21 people making an average of $49,000 per year. You want to give every employee a 5% increase for next year. What will be the total increase in your company's annual payroll?
a) $48.000
b) $50,085
c) $51,450
d) $54,250
Answer:
c) $51,450
Step-by-step explanation:
Current payroll:
21 * 49000 = $1,029,000
Payroll after 5% increase:
1029000 * 1.05 = $1,080,450
Difference between after increase and current payroll:
1080450 - 1029000 = $51,450
What is the value of x in the equation of y=6x+2.3
Answer:
The answer is x=y/6 - 0.383 (3 being repeated) , hope this helps you.
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
I think it is x=y/6 - 0.383 (3 being repeated)
Step-by-step explanation:
Hope this helped have an amazing day!
Given: FG is an altitude. What can you conclude?
O
Answer:
A or B
Step-by-step explanation:
Its more likely B
in eleven years ted will be 22 years old how old is he now?
Answer:
11
Step-by-step explanation:
22-11=11
The sum of Jack and his father’s ages is 52. Jack’s father’s age is 2 less than 5 times Jack’s age. Find the ages of Jack and his father. Question 5 options: 10, 42 9, 43 9, 61 9, 45
Answer:
43 9
Step-by-step explanation:
sum of their ages is 52
let Jack's age be x = 5×x= 5x
his father's age is 2<5x