Answers
Answer:
[tex]m\angle XYV=135^{\circ}[/tex]
Step-by-step explanation:
Notice that [tex]m\angle XYV=m\angle XYW+m\angle VYW[/tex].
The diagram already marks [tex]m\angle VYW=80^{\circ}[/tex], so we just need to find [tex]m\angle XYW[/tex].
[tex]\angle TYU[/tex] and [tex]\angle XYW[/tex] are vertical angles, which means they are equal in measure.
Therefore,
[tex]m\angle TYU=m\angle XYW=6x+7[/tex]
Since there are [tex]180^{\circ}[/tex] on each side of a line, we have the following equation:
[tex]m\angle XYW+m\angle VYW+m\angle UYV=180^{\circ},\\6x+7+13+4x+80=180,\\10x+20=100,\\10x=80,\\x=8[/tex].
Plugging in [tex]x=8[/tex], we have:
[tex]m\angle XYW=6(8)+7=55^{\circ}[/tex].
Therefore,
[tex]m\angle XYV=55^{\circ}+80^{\circ},\\m\angle XYV=\fbox{$135^{\circ}$}[/tex].
Related Questions
What is the equation in point-slope form of a line that passes through the points (3, −5) and (−8, 4) ?
y+4=−911(x−8)
y+4=−15(x−8)
y−4=−15(x+8)
y−4=−911(x+8)
Answers
Answer:
y-4=–911(x+8)
please mark as brainliest
Answer:y-4=–911(x+8)
Step-by-step explanation:
This is the correct answer i do k12
need help asap please !!
Answers
Answer:
17
Step-by-step explanation:
As we know that when diagonals bisect each other it gets divided into two equal parts so
CG = CE
6z - 85 = z
6z - z = 85
5z = 85
z = 85 / 5
Therefore z = 17
Hope it will help :)
Answer:
[tex]\displaystyle 17[/tex]
Step-by-step explanation:
[tex]\displaystyle 6z - 85 = z → 85 = 5z; 17 = z[/tex]
I am joyous to assist you at any time.
Help me out to get this math problem solve
Answers
Answer:
1. 1900 children.
2. 600 adults.
Step-by-step explanation:
Let c represent the number children.
Let a represent the number of adult.
From the question given above, we were told that 2500 people entered the fair. This can be obtained as follow:
2500 = c + a ..... (1)
From the question given above, we were told that:
Cost per child = $ 2
Cost per adult = $ 4
Total amount collected = $ 6200
Thus, we can write the above as:
6200 = 2c + 4a .....(2)
Summary:
2500 = c + a ..... (1)
6200 = 2c + 4a .....(2)
1. Determination of the number of children that attended the fair.
From equation 1
2500 = c + a
Make a the subject by rearranging
a = 2500 – c ....... (3)
Substitute the value of 'a' in equation 3 into equation 2
6200 = 2c + 4a
a = 2500 – c
6200 = 2c + 4(2500 – c)
Clear bracket
6200 = 2c + 10000 – 4c
Collect like terms
6200 – 10000 = 2c – 4c
–3800 = –2c
Divide both side by –2
c = –3800 / –2
c = 1900
Thus, 1900 children attended the fair
2. Determination of the number of adults that attended the fair.
Substitute the value of c into equation 3.
a = 2500 – c
c = 1900
a = 2500 – 1900
a = 600
Thus, 600 adults attended the fair.
37 people showed up to the party. There were 9 less men than women present. How many women were there?
Answers
Answer:
23
Step-by-step explanation:
tbh, i just guessed around the numbers until i got the right one xD
The number of women present in the party will be 23.
What is expression ?Expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
We have,
Total persons in party = 37
Let,
Number of men = m
Number of women = w
So,
Total number of persons in party ,
m + w = 37 .....(i)
Now,
According to the question,
m = w - 9
Now
Substituting m = w - 9 in equation (i),
i.e.
w - 9 + w = 37
We get,
2w = 37 + 9
2w = 46
We get,
w = 23
So, number of women are 23.
Hence, we can say that the number of women present in the party were 23.
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Evaluate x divided by y if x = 3 1/2 and y = 3/4
Answers
Answer:
4 2/3
Step-by-step explanation:
hope this helps
Guys i actually need help
Answers
Answer:
Rotation
Step-by-step explanation:
Answer:
That is just rotation.
Step-by-step explanation:
It is rotation because if you were to spin it to the right on a 57 degree it will be that angle.
It also not the others because if you were to put reflection that would it would the opposite.
Suppose you saved $300 dollars from a summer job. If school starts September 1, can you afford a cell phone data plan of $29.95 per month for the next year(until next September 1)?
Answers
Answer:
No
Step-by-step explanation:
Given that:
Amount saved = $300
Monthly data cost = $29.95
Number of monthly data that can be done from saving :
= amount saved / monthly data cost
= $300 / $29.95
= 10.016694
Hence, saving can only last for 10 months of data subscription.
Hence it can't last till September 1, if the following year, which is about 12 months
Jordan invests £16200 into his bank account
He receives 2.5% per year simple interest.
How much will Jordan have after 5 years?
Give your answer to the nearest penny where appropriate
Answers
Answer:
18225
Use the formula: .
A = final amount
P = initial amount invested
r = annual interest rate
t = time (in years)
Insert all values in appropriate places.
Simplify.
A=16200(1+(0.025)(6))
Answer:
£18,225
Step-by-step explanation:
2.5% of £16,200 = £405
10% of £16,200 = £1,620
5% of £16,200 = £810
5 years: 16,200 + 5 x 405 = £18,225
What is 50 x 79 x 27 + 69
Answers
106,719
Answer:
[tex]50 \times 79 \times 27 + 69 \\ \\ = 106,650 + 69 \\ \\ = 106,719[/tex]
Answer:
173790.07374
Step-by-step explanation:
if u apply DMAS rule it will give u same answer if u simply do this it will again give u same answer for sure!
first multiply each then add 60
pls mark this brainliest
n thanks
You spin the spinner twice.
5
4
What is the probability of landing on an odd number and then landing on a 5?
Simplify your answer and write it as a fraction or whole number.
Submit
Answers
Answer:
5 by 2
because the number is 5 .
And the spinner is spin two time
so 5 by 2
Step-by-step explanation:
hope it helps you
How are the hypotenuse and legs of a right triangle related?
Answers
Answer:
The sum of the legs is equal to the hypotenuse.
Step-by-step explanation:
I hope that this helps u..
Answer:
The relation between the sides and angles of a right triangle is the basis for trigonometry. The side opposite the right angle is called the hypotenuse (side c in the figure). The sides and the adjacent to the right angle are called legs (or catheti, singular: cathetus).
Hello please help me through 11-13 .
Answers
Answer:
Step-by-step explanation:
Points to remember while solving a system of linear equations,
1). If the equations have same slope, solution of the system will have no solution.
2). If both the equations are same, system will have infinitely many solutions.
3). If both the equations have different coefficients of variables, system of equations will have exactly one solution.
Question 11,
ax + 4y = 10 ------ (1)
-9x - 6y = -15
-3x - 2y = -5
-6x - 4y = -10
6x + 4y = 10 -------(2)
For infinitely many solutions,
Coefficients of variables will be same.
a = 6 will be the answer.
Option B is the correct option.
Question 12,
[tex]y=-\frac{3}{2}x+4[/tex] ---------(1)
[tex]y=-\frac{3}{2}x-4[/tex] ----------(2)
Since, slopes of both the equations are same as [tex]-\frac{3}{2}[/tex], lines will be parallel.
System will have NO SOLUTION.
Question 13,
x + 3y = 6 ------- (1)
6x + 18y = 36
x + 3y = 6 -------- (2)
Both the equations are same.
Therefore, system of the equations will have infinitely many solutions.
2x - 3y = -3 ------(1)
4x + 6y = 18
2x + 3y = 9 -------(2)
Coefficients of the variables are different, therefore, one solution.
3x + 2y = 6 -------(1)
6x - 4y = 24
3x - 2y = 12 -------(2)
One solution.
8x - 10y = 6
4x - 5y = 3 -------(1)
-4x + 5y = 3
4x - 5y = -3 ------(2)
One solution.
4x + 10y = 16
2x + 5y = 8 --------(1)
10x + 25y = 40
2x + 5y = 8 --------(2)
Infinitely many solutions.
Each bill at a restaurant includes an 18% tip. Which of the following bill amounts and tips could be from this restaurant? Select Yes or No.
Answers
Answer:
1. Yes
2. No
3. No
4. Yes
No
No
Yes thats the answer
Which angle is congruent to
Answers
Answer:
ps is congruent to qr if that's what your asking
If a pound of turkey costs $0.82, how much will n pounds cost?
Answers
A new car is purchased for 20000 dollars.The value of the cat depreciates at 12.5% per year.What will the value of the car be, to the nearest cent, after 11 years?
Answers
Answer:
$460.38
Step-by-step explanation:
Use the exponential decay formula, y = C(1 - r)^t
Plug in the original price, depreciation rate, and amount of time:
y = 20000(0.875)^11
y = 460.38
So, the car's value after 11 years will be $460.38
What is the volume of the pyramid?
A 17cm^3, 56cm^3, 84cm^3 or 168cm^3
Answers
Answer:
56cm2
Step-by-step explanation:
1÷3×4×6×7
=56cm2
Arthur has a box which contains 6 black balls and n (n ≥ 2) white balls, then at random, he takes 3 balls from the box. If the probability of taking any ball is the same and Pₙ is the probability of taking 1 black ball and 2 white balls, what is the largest possible value for Pₙ?
Answers
Answer:
11/68 or 0.1618Step-by-step explanation:
Balls
Black - 6White - nOptions of getting 3 balls
1. White, black, black2. Black, white, black3. Black, black, whiteProbability P(n) in each option
1. WBB
P(w) = 6/(n + 6)P(b1) = n/(n + 6 - 1) = n/(n + 5)P(b2) = (n - 1)/(n + 5 - 1) = (n - 1)/(n + 1)P(n) =
P(w)P(b1)(P(b2) = 6/(n+6) × n/(n + 5) × (n - 1)/(n + 4) =6n(n - 1)/(n + 6)(n + 5)(n + 4)2. BWB
P(b1) = n/(n + 6)P(w) = 6/(n + 6 - 1) = 6/(n + 5)P(b2) = (n - 1)/(n + 5 - 1) = (n - 1)/(n + 4)P(n) =
P(b1)P(w)(P(b2) = n/(n+6) × 6/(n + 5) × (n - 1)/(n + 4) =6n(n - 1)/(n + 6)(n + 5)(n + 4)3. BBW
P(b1) = n/(n + 6)P(b2) = (n - 1)/(n + 6 - 1) = (n - 1)/(n + 5)P(w) = 6/(n + 5 - 1) = 6/(n + 4)P(n) =
P(b1)P(b2)(P(w) = n/(n+6) × (n - 1)/(n + 5) × 6/(n + 4) =6n(n - 1)/(n + 6)(n + 5)(n + 4)Final equation is same for each case:
P(n) = 6n(n - 1) / (n + 6)(n + 5)(n + 4)The easy way to find the maximum is to try the numbers or graph.
Both of the methods give the maximum integer n = 11 or n = 12
See attached graph
At both values n we get P(n):
P(11) = 6*11*10 / 15*16*17 = 11/68 = 0.1618 (rounded)P(12) = 6*12*11 / 16*17*18 = 11/68 = 0.1618 (rounded)Choose the equation that represents the graph below:
A) Y= -2x-6
B) Y= 2/3x+6
C) Y= -2/3x+6
D) Y= 2x+6
Answers
Answer: C
Step-by-step explanation:
The slope is
[tex]\frac{2-6}{6-0}=-\frac{2}{3}[/tex]
This eliminates all the options except for C.
8(5 + 4n) + 11 = -5(3 - 7n)
Answers
Isolate the variable by dividing each side by factors that don't contain the variable.
n = 22
Answer:
n=22
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
8(5+4n)+11=−5(3−7n)
(8)(5)+(8)(4n)+11=(−5)(3)+(−5)(−7n)(Distribute)
40+32n+11=−15+35n
(32n)+(40+11)=35n−15(Combine Like Terms)
32n+51=35n−15
32n+51=35n−15
Step 2: Subtract 35n from both sides.
32n+51−35n=35n−15−35n
−3n+51=−15
Step 3: Subtract 51 from both sides.
−3n+51−51=−15−51
−3n=−66
Step 4: Divide both sides by -3.
−3n /−3 = −66 /−3
n=22
Ryan has two jobs. He earns $9 per hour for x hours babysitting his cousins and he earns $18 per hour for y hours working at the coffee shop. Ryan will work both jobs. He is able to work no more than 10 hours a week, due to school commitments. Ryan wants to earn at least $72 a week, working a combination of both jobs.
Answers
Answer:
Umm I don't think you wrote out the whole question...
Step-by-step explanation:
$18 nine hours, $9 one hour = $177
$18 eight hours, $9 two hours = $162
$18 seven hours, $9 three hours = $153
$18 six hours, $9 four hours = $144
$18 five hours, $9 five hours = $135
$18 four hours, $9 six hours = $126
$18 three hours, $9 seven hours = $117
$18 two hours, $9 eight hours = $108
$18 one hour, $9 nine hours = $99
When plotting points on the coordinate plane
below, which point would lie on the x-axis?
(6,0)
(0, 2)
(3.8)
(5,5)
Answers
Answer:
(6,0)
Step-by-step explanation:
Suppose the large number of auto accidents in a small town results in new legislation that requires all citizens of the town to install new anti-lock brakes on their cars. These new brakes cut the time it takes a car to stop by 50%, allowing drivers to avoid collisions with other cars and pedestrians more easily. The new brakes _________ the probability that a vehicle will collide with another vehicle but also give drivers an incentive to drive more _________, which could potentially __________ the number of car accidents.
a. decrease; carefully; increase
b. decrease; recklessly; increase
c. increase; recklessly; increase
d. decrease; carefully; decrease
Answers
Answer:
a. decrease
b. recklessly
c. increase
Step-by-step explanation:
Suppose the large number of auto accidents in a small town results in new legislation that requires all citizens of the town to install new anti-lock brakes on their cars. These new brakes cut the time it takes a car to stop by 50%, allowing drivers to avoid collisions with other cars and pedestrians more easily. The new brakes decrease the probability that a vehicle will collide with another vehicle but also give drivers an incentive to drive more recklessly which could potentially increase the number of car accidents.
Because the new brakes cut the time it takes a car to stop by 50%, allowing drivers to avoid collision easily, drivers may become confident and drive recklessly which could potentially increase the number of car accidents
I will give brainiest to whoever answers correctly !!
Answers
PLEASE HELP, Will give brainliest if u help and 38 points.
You are deciding between two laptops to purchase. The first laptop has an initial value
of $2000 but loses 14% of its value every year. The second laptop has an initial value
of $1200 but loses 11% of its value every year.
a. Write functions that represent the values (in dollars) of the laptops after t years.
Then graph the functions in the same coordinate plane.
b. Find the approximate monthly percent decrease in value for each laptop.
C. Which laptop should you buy if you plan on selling the laptop in 5 years? Explain
your reasoning
Answers
Step-by-step explanation:
a)
The first laptop
Initial value- $2000Value loss - 14% every yearFunction for value- V(t) = 2000*0.86^tThe second laptop
Initial value- $1200Value loss - 11% every yearFunction- V(t) = 1200*0.89^tb)
Monthly percent decrease
The first laptop:
14%/12 = 1.16%The second laptop:
11%/12 = 0.92%c)
The second laptop will lose less value in 5 years hence is better choice
See the graph attached
What interval notation represents the data graphed below?
A. [1, 4]
B. [1, 4)
C. (1, 4)
D. (1, 4]
Answers
If s= 6 inches, and the altitude, h, is 21 inches, what is the volume of the pyramid?
Answers
Answer: 42 inches
Step-by-step explanation:
To find the volume you multiply 1/3 of the base which is 6 then with 1/3 is 2 them multiply the altitude which is 21. So 2 times 21 is 42 inches
Answer:
The volume of the pyramid is 42 inches³.
Step-by-step explanation:
The formula is V = ⅓ A H. 6x21=126, 126x1/3=42.
Hey would someone help me with my math question ?
Answers
Answer:
Store number 1 has the best discount.
Step-by-step explanation:
Find how much of a discount you get from each store. For number 1 you find 30% of $150 by turning the percent to a decimal and multiplying, for number 2 you would subtract 150 - 30, and for number 3 you subtract 150 - 1/5. When all of this is done you get the greatest discount of $45 off from store number 1.
What is the decimal Expansion of the following fraction?
Answers
Answer:
B
Step-by-step explanation:
1/25 = 0.04 only. this is surely the anwer
Jada walks to school. The function D givers her distance from school, in meters, t minutes since she left home. Which equation tells us “Jada is 600 meters from school after 5 minutes”? A. D(600)=5 B. t(5)=600 C. t(600)=5 D. D(5)=600
Answers
Awnser:
The awnser is: D(5) = 600
Step-by-step explanation:
The equation function showing that “Jada is 600 meters from school after 5 minutes” is D(5) = 600.
What is function?A function is defined as a relation between a set of inputs having one output each.
Given that, Jada walks to school. The function D givers her distance from school, in meters, t minutes since she left home.
According to the question,
She is 600 meters far from school after 5 minutes,
That tells that, when it is 5 min the distance left is 600 m, i.e, 5 minutes is input and 600 is output.
Hence, The equation function showing that “Jada is 600 meters from school after 5 minutes” is D(5) = 600.
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