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[tex]XCV \: \: angle = \frac{XWV \: \: arc}{2} \\ [/tex]
Multiply sides by 2
[tex]2 \: XCV \: \: angle = XWV \: \: arc[/tex]
[tex]XWV \: \: arc = 2 × XCV \: \: angle \\ [/tex]
[tex]XWV \: \: arc = 156°[/tex]
_________________________________
[tex]XWV \: \: arc + VCX \: \: arc = 360° \\ [/tex]
[tex]156° + VCX \: \: arc = 360°[/tex]
Subtract sides 156°
[tex]-156° + 156° + VCX \: \: arc = -156° + 360° \\ [/tex]
[tex]VCX \: \: arc = 204°[/tex]
_________________________________
[tex]XWV \: \: angle = \frac{XCV \: \: arc}{2} \\ [/tex]
[tex]17x = \frac{204}{2} \\ [/tex]
[tex]17x = 102[/tex]
Divide sides by 17
[tex] \frac{17x}{17} = \frac{102}{17} \\ [/tex]
[tex]x = 6[/tex]
_________________________________
Sum of the interior angles of XWVC equal 360° .
Thus in XWVC :
[tex]X + W + V + C = 360°[/tex]
[tex](9y) + (17x) + (6y) + (78°) = 360° \\ [/tex]
[tex]15y + 17x + 78° = 360°[/tex]
[tex]15y + 17(6) + 78° = 360°[/tex]
[tex]15y + 102° + 78° = 360°[/tex]
[tex]15y + 180° = 360°[/tex]
Subtract sides 180°
[tex]15y + 180° - 180° = 360° - 180° \\ [/tex]
[tex]15y = 180°[/tex]
Divide sides by 15
[tex] \frac{15y}{15} = \frac{180}{15} \\ [/tex]
[tex]y = 12[/tex]
_________________________________
[tex]X = 9y[/tex]
[tex]X = 9(12)[/tex]
[tex]X = 108°[/tex]
[tex]V = 6y[/tex]
[tex]V = 6(12)[/tex]
[tex]V = 72°[/tex]
[tex]W = 17x[/tex]
[tex]W = 17(6)[/tex]
[tex]W = 102°[/tex]
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Related Questions
The lines represented by the equations 20y−24x=−20 and 5y−6x=−5 are...
a)perpendicular
b)the same line
c)neither parallel nor perpendicular
d)parallel
Answers
Answer:
parallel i think
Step-by-step explanation:
parallel because it's a unknown error
Answer:
Choice B
Step-by-step explanation:
The best way to compare two lines is to solve for y.
The first equation:
For [tex]20y-24x=-20[/tex] the first thing we should do is add the 24x on both sides which will cancel out itself on the left side [tex]20y=24x-20[/tex]. Now all we have to do is divide the 20 on both sides to leave us with [tex]y=\frac{6}{5}-1[/tex].
The second equation:
For [tex]5y-6x=-5[/tex] the first thing we should do is add the 6x on both side which will cancel itself on the left side [tex]5y=6x-5[/tex]. Now all we have to do is divide the 5 on both sides to leave us with [tex]y=\frac{6}{5}x-1[/tex].
Now for the comparison:
They are the same exact line. If you were to graph them they would overlap each other.
Can someone explain to me how to solve this kind if problems?
Answers
Answer:
You would have to Multiply
Step-by-step explanation:
the hypotenuse of a 45-45-90 triangle has a length of 10 units what is the length of one of its legs
Answers
(x^2) + (x^2) = 10^2=100
so x^2=50
so x=5√ 2
help asap!!
The graph of a linear function is shown on the grid.
Which equation is best renresented by this graph?
Answers
2. Which of the following is contained in the solution for the
inequality 5x < 3(x + 2) + 2 ? Justify your answer for full credit.
A.
4
C. 7
B.
2
D.
15
Answers
I used the calculator
8th Grade Math.Help me Lol Thanksss Which graph represents a decreasing trend?
Answers
The last graph
Because it's going toward the negative numbers.
please andwer this for me <3
Answers
Answer:
C
Step-by-step explanation:
16 : 12
x : 6
- multiply 16*6 and divide by the number multiplying with the unknown (12)
(16*6)/12 = 8
- area of triangle is 1/2 h*b
so 1/2 * (16*8) = 64
Solve 2(2 – x) = 3x + 4.
Answers
Answer:
Step-by-step explanation:
2(2 – x) = 3x + 4.
4 - 2x = 3x + 4
-5x = 0
x = 0
What is the slope of a line parallel the the line whose equation is x+y=5. Fully reduce your answer.
Answers
Answer:
m = -1
Step-by-step explanation:
Find the slope of this line.
x+y=5
y= (-1)x+5
Slope (m) = -1 <-- from y = mx+b
A line parallel to the line will have the slope -1.
The number 3.14159, correct to 3 decimal places, is?
Answers
Answer:
3.142
Step-by-step explanation:
59 is above 0.5 so therefore that part needs to be rounded up to 3.142.
Solve for x: -9x + 13 = -14
Answers
Answer:
3
Step-by-step explanation:
- rearrange: -9x= -14 -13
x = -27/-9 = 3
Please! I’ll give brainliest!
Answers
Answer:
a. fill in 8out of the 10 rows of the grid. Then subtract 3/10ths of the squares that are filled in
b. 70/100 x 8/10 = 14/25 kg
c. 0.7 x 0.8 = 0.56 kg
d. less, by 0.24 kg
I hoped this helped! :)
The scatter plot shows the number of minutes each of 28 people played a video game and the number of levels each person completed in the video game. Which statement is best supported by the scatter plot? Please help me!!!
Answers
Answer:
28 people played a video game
Step-by-step explanation:
The equation y-4=-3(x+4) is written in point-slope form. What is the y-intercept of the line? *
1 point
16
-8
1
-7
Other:
Answers
Answer:
-8
Step-by-step explanation:
you need to rewrite it in y=mx+b form where b-is the y-intercept
y-4= -3(x+4)
distribute
y-4 = -3x-12
isolate y
y= -3x-8
compare this with the y=mx+b so y-intercept is -8
Please help!!!
The cost of producing n necklaces is p(n)=15n + 60. The necklaces cost $30, which can be represented by c(n) = 30n. For how many necklaces does the cost of production equal the sales?
Answers
Answer:
4 necklaces
Step-by-step explanation:
when p(n)=c(n), the cost equals the sales
15n+60=30n
60=15n
n=4
what is -1/6 multiplied by 6
Answers
Answer:
[tex]-1[/tex]
Step-by-step explanation:
Step 1: Multiply
[tex]-\frac{1}{6} * \frac{6}{1}[/tex]
[tex]-\frac{1*6}{6*1}[/tex]
[tex]-\frac{6}{6}[/tex]
[tex]-1[/tex]
Answer: The correct answer is -1
Find the solution to the equation
16.2 + n = 16
Answers
Answer:
-0.2
Step-by-step explanation:
to find n you need to get it all by itself so you subtract 16.2 from both sides so on the left side it cancels out and on the right side it equals -.02 which is then equal to n which is your answer
how to graph -2 f(x)
Answers
PLEASE HELP
(-1,1)
(0,-1)
(5,-11)
(10,-21)
What is the domain of the set of ordered pairs above?
A.
{1, -1, -11, -21}
B.
{-1, 1}
C.
{-1, 0, 5, 10}
D.
{-1, 10}
Answers
What is the domain of the set of ordered pairs above
c {-1 ,0, 5, 10}
Answer:
c {-1 ,0, 5, 10}
Step-by-step explanation:
can I get some help;
Answers
Answer:
I was never good at this in math...
Answer:
X = 30
Y = 14
Step-by-step explanation:
x/20 = 18/12
multiply both sides by 20
x = 18/12 x 20 = 30
y/21 = 12/18
multiply both sides by 21
y = 12/18 x 21 = 14
Helen draw a massive circle she the
Answers
Help will give crown!!
Answers
Answer:
Mixed number: [tex]3\frac{15}{100}[/tex]
Improper fraction: [tex]\frac{315}{100}[/tex]
Step-by-step explanation:
A mixed number is a number that contains an integer part and a fraction part.
An improper fraction is a fraction where the numerator is greater than the denominator.
[tex]3.15[/tex] can be written as [tex]\frac{315}{100}[/tex] in its fraction form. This would be an improper fraction since the numerator is greater than the denominator.
The mixed number is [tex]3\frac{15}{100}[/tex] since [tex]100[/tex] goes into [tex]315[/tex] three full times and the remainder is [tex]15[/tex].
∴The mixed number is [tex]3\frac{15}{100}[/tex] and the improper fraction is [tex]\frac{315}{100}[/tex].
Jamal has a plan to save money for a trip. Today, Jamal deposits $10.00 into the savings account. Each week, Jamal will add $5.00 to the amount that is deposited into the savings account. The table below shows the relationship between the number of weeks and how much money, in dollars, Jamal deposits into the savings account.
Let f(x)represent the amount of money Jamal deposits into his savings account at the end of x weeks. Based on the table, what is f(10)?
Answers
Answer:
y = 5x + 10
Step-by-step explanation:
using the formula y = mx + b you can easily find the answer.
where
m = the rate of change
b = constant
x = the independent variable
Since he has the initial $10.00 added to the account, we know that is the constant since he won’t be adding that anymore.
Since he will be adding $5.00 to the account every month we know that this is the rate of change.
the variable x will change depending on the number of months passed.
Therefore we can create the equation:
y = 5x + 10
7x/12 -11= -8
what is x?
pls hurry I need help.
DO NOT convert to a decimal
Answers
Answer:
x = 5 1/7
Step-by-step explanation:
7x/12 -11= -8
7x/12 = 3
x = 3 . 12 /7
x = 36/7
x = 5 1/7
How many solutions does this equation have?
–5d + 6 = 6 − 5d
Answers
Answer:
maannnyyy
Step-by-step explanation:
64 is 66 2/3% of what number
Answers
Answer:
Step-by-step explanation:
0.95
4X + 5Y = 21
-4X + 8Y = -8
And
X + 5Y = 5
3X - 5Y = 3
Answers
Answer:
for the first one
Step-by-step explanation:
(x,y)=(4,1)
Mark spent $135 on his comic book collection. He just sold it online for $310. Approximately what is the profit as a percent of his original cost?
Answers
Answer: $4.45
Step-by-step explanation: you will get $4.45
Answer:
it should be 445%
Step-by-step explanation:
A restaurant sells 6 tacos for $5.40. What is the unit rate?
Answers
Answer: 90 cents a taco.
Step-by-step explanation: To find the rate in this case, we can simply divide the cost by the given number of tacos, (5.4 / 6), yielding .90. Consider marking this answer as brainliest if it helped you out.
end of each of the next 20
Suppose you earned a $555,000 bonus this year and invested it at 8.25% per year. How much could you withdraw
years?
Select the correct answer.
a. $57,592.18
b. $57,500.68
c. $57,575.18
d. $57,609.18
e. $57,583.68
Answers
Answer:
Annual withdraw= $57,583.68
Step-by-step explanation:
Giving the following information:
Present Value (PV)= $555,000
Interest rate (i)= 0.0825
Number of periods (n)= 20
To calculate the annual withdrawals, we need to use the following formula:
Annual withdraw= (PV*i) / [1 - (1+i)^(-n)]
Annual withdraw= (555,000*0.0825) / [1 - (1.0825^-20)]
Annual withdraw= $57,583.68
