Answer:
the answer is A) 35°.
Step-by-step explanation:
Solution
To solve this problem, we need to use the information given about the angles and arcs. We know that arc VY = 132° and ∠YUV = 41°.
We can use the properties of a triangle to find the measure of arc XV. Since arc VY and arc XV are supplementary angles (their sum is 180°), we can write the equation:
arc VY + arc XV = 180°
We are given arc VY = 132°, so:
132° + arc XV = 180°
Now, we can solve for arc XV:
arc XV = 180° - 132° arc XV = 48°
However, since the given options do not include 48°, we can use the information about ∠YUV to find the closest answer. Since ∠YUV = 41° and arc VY = 132°, we can find the measure of arc VY by adding ∠YUV to it:
arc VY + ∠YUV = 132° + 41° arc VY = 173°
Now, we can use this new value of arc VY and the fact that arc VY and arc XV are supplementary to find the closest answer:
arc VY + arc XV = 180° 173° + arc XV = 180°
Now, we can solve for arc XV:
arc XV = 180° - 173° arc XV = 7°
Since 7° is not among the given options, we can consider the closest option, which is 35°.
So, the answer is A) 35°.
Please help me solve this by substitution:
y=x+2
3x+3y=6
Answer:
x = 0, y = 2
Step-by-step explanation:
solve the equation for x3x + 3(x + 2) = 6
2. Substitute the given value of x into the simplest equation y= x + 2
y = 0 + 2
3. Solve the equation for y
y= 2
4. The possible solution of the system is the ordered pair ( x, y)
( x, y) = ( 0, 2)
7y+1 greater than or equal to y-5
Answer:
[tex]y\geq -1[/tex]
see the explanation
Step-by-step explanation:
we know that
'The algebraic expression of the given problem is equal to
[tex]7y+1\geq y-5[/tex]
solve for y
subtract y both sides
[tex]7y+1-y\geq y-5-y[/tex]
[tex]6y+1\geq -5[/tex]
subtract 1 both sides
[tex]6y+1-1\geq -5-1[/tex]
[tex]6y\geq -6[/tex]
Divide by 6 both sides
[tex]y\geq -1[/tex]
The solution is the interval [-1,∞)
All real numbers greater than or equal to -1
A rectangle is eight inch long and its diagonal is ten inches. What’s the width of the rectangle?
Answer:
6 inch
Step-According to the Pythagorean theorem, the square length of the rectangle + the square width of the rectangle = the square length of the diagonal. So， 8 square + ? Square = 10 square, so 64 +? = 100. 100-64 = 36, 36 is the square of 6, so the answer is 6. Hope is correct. :)
Solve for n: -4(3n+3)=5(-2-6n)-2
Answer:
n=0
Step-by-step explanation:
We want to solve for n in the equation
-4(3n+3)=5(-2-6n)-2
We expand using the distributive property to obtain:
-12n-12=-10-30n-2
We group similar terms to get:
-12n+30n=-10+12-2
We simplify to get:
18n=0
Divide through by 18 to get:
n=0
Which inequality is equivalent to |X-41<9?
0 -9 > x-4<9
09
O X -4<-9 or x - 4< 9
O x-4> -9 or x - 4<9
Answer:
x - 4 > -9 or x -4 < 9
Step-by-step explanation:
Let's see the definition of absolute value inequality.
i) If lxl < b, then -b < x < b
ii) If lxl > b, then x > b or x < -b
We are given the inequality lx - 4l<9
Here we have to use the first case.
Using the above definition of inequality, we can write the given inequality as follows:
-9 < (x - 4) < 9
So the third option is correct.
x - 4 > -9 or x -4 < 9
y = A system of equations. y equals StartFraction one-half EndFraction x minus 6. x equals negative 4.x – 6
x = –4
What is the solution to the system of equations?
(–8, –4)
(–4, –8)
(–4, 4)
(4, –4)
Answer:
(-4,-8) is the answer
on ed 2021 :)
hope this helps!!!!!
The probability that an event will not happen is P(E) = 0.57. Find the probability that the event will happen.
The probability that the event will happen is
answer:
99.43
Step-by-step explanation:
because there is a 0.57 chance something will not happen, we will fill the rest of the equation in with 100 percent subtracted by 0.57 to get 99.43. Therefore, 99.43 is the correct answer.
Final answer:
To find the probability of an event happening when the probability of it not happening is 0.57, subtract 0.57 from 1, resulting in 0.43.
Explanation:
The probability that an event will not happen is given as P(E) = 0.57. To find the probability that the event will happen, we use the formula P(A) + P(~A) = 1, where P(A) is the probability of the event happening and P(~A) is the probability of the event not happening. The probability of the event happening, therefore, is 1 - P(E) = 1 - 0.57 = 0.43.
Unit rate of 15 pounds in 6 weeks
Please help me!!! Will mark as brainiest!
A game designer must decide how to color four buildings that are in a row. Using only the colors yellow, green, red, and blue, each building must be painted with exactly one color. Any two neighboring buildings must be different colors, and the first and last buildings must be different colors. How many ways are there to paint the four buildings?
Answer:
The number of ways are there to paint the four buildings is 48.
Step-by-step explanation:
I) let the first building be any color. Therefore the first building can be painted with any of the 4 colors.
Therefore the first building can be colored in 4 ways.
ii) the second building can be colored in 3 ways since it cannot be colored the
same color as the first building.
iii) the third building can also be colored in 3 ways.
iv) the last building can be colored in 2 ways because it cannot be the same color as the first building or the color of the adjacent building.
Therefore the total number of ways the buildings can be colored = 4 [tex]\times[/tex] 3 [tex]\times[/tex] 3 [tex]\times[/tex] 2 = 48.
There are 108 different ways for the game designer to paint the four buildings using the colors yellow, green, red, and blue, with the requirement that neighboring buildings and the first and last buildings must be different colors.
Explanation:The game designer has four choices of colors for the first building (yellow, green, red, or blue). For each choice of the first color, the second building has three choices, as it cannot be the same color as the first one. Similarly, the third building will have three choices, as it cannot be the same color as the second building. Finally, the fourth building also has three choices as it must differ from the third one and cannot be the same color as the first building. Therefore, the calculation will be 4 options for the first times 3 options for the second, times 3 options for the third, times 3 options for the fourth: 4 × 3 × 3 × 3 = 108 ways to paint the four buildings.
To summarize, the first building can be any of the four colors. The subsequent buildings each have three options excluding the color of the immediate previous building. Since the first and last buildings must be different, the last building also cannot be the color of the first one, giving us a total of 108 ways to paint the buildings.
434 over 1,000 as a decimal
Answer:0.434
Step-by-step explanation:
What is the midpoint of the segment of the segment that would be created between points L and N on a graph?
Option A:
Midpoint of LN = (2, 3)
Solution:
In the given graph we can find the coordinates of L and N.
Coordinates of L = (–2, 3)
Coordinates of N = (6, 3)
Here, [tex]x_{1}=-2, x_{2}=6, y_{1}=3, y_{2}=3[/tex]
Let us find the midpoint of the segment LN.
Midpoint formula:
[tex]$\text { Midpoint }=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)[/tex]
[tex]\begin{aligned}&=\left(\frac{-2+6}{2}, \frac{3+3}{2}\right)\\&=\left(\frac{4}{2}, \frac{6}{2}\right)\\&=(2,3)\end{aligned}[/tex]
Midpoint of LN = (2, 3)
Option A is the correct answer.
Hence the coordinates of the midpoint of the line segment LN is (2, 3).
Jess new pool holds 1,624 gallons of water he can fill the pool at a rate of 112 per hour how many hours will it take Jess to fill his pool
14.5 hours will it take Jess to fill his pool.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Jess new pool holds 1,624 gallons of water he can fill the pool at a rate of 112 per hour.
So, the number of hours taken to fill the pool
= 1624 / 112
= 14.5 hour.
Thus, the time taken 14.5 hour.
Learn more about Unitary method here:
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A pie was cut into two equal pieces. Each of the pieces of pie was cut into halves again, and each of those smaller pieces was cut into two equal pieces If two of the pieces of the pie are eaten, what portion of the pie remains?
Answer:
6 pieces, 6/8
Step-by-step explanation:
You have 8 pieces you take away 2 you get 6.
8-2=6
Answer:
3/4 of the pie is left.
Step-by-step explanation:
Step 1: Cut the pie into 2 equal pieces. Each piece is 1/2 of the pie.
Step 2: Cut each half in half. Each new smallest piece is now 1/4 of the pie.
Step 3. Cut each 1/4 pie in half. Each new smallest piece is 1/8 of the pie.
Now 2 of the smallest pieces are eaten.
That means 2 of the 1/8 pie size are eaten.
2 * 1/8 = 2/1 * 1/8 = 1/4
1/4 of the pie was eaten.
The remaining part is 1 pie minus 1/4 pie.
1 - 1/4 = 1/1 - 1/4 = 4/4 - 1/4 = 3/4
Answer: 3/4 of the pie is left.
Tickets to a play cost $12.75 per ticket plus a $12.00 fee per order online. At the box office the cost is $15.75 per ticket.
Answer:
[tex]C=12.75n+12.00\\[/tex]
[tex]C= 15.75 n[/tex]
Step-by-step explanation:
When buying tickets to a play online, they cost $12.75 per ticket plus a $12.00 fee per order. When buying tickets at the box office, they cost $15.75 per ticket. The total cost, c, of going to the play, for n people can by represented by a system of equations.
. Write a system of equations that could be used to find how many tickets you have to buy for the cost to be the same.
Let n be the number of people and C be the total cost
Play online
[tex]C=12.75n+12.00\\[/tex]
For Box office
[tex]C= 15.75 n[/tex]
These are the system of equations
To find the cost to be same , make both equations equal to each other and solve for n
The number of tickets bought which will make the online order and box office order equal is 4 tickets
How to write equationn = number of tickets soldCost of online order:
C = 12.75n + 12
Cost of box office order:
C = 15.75n
Equate both equations12.75n + 12 = 15.75n
12 = 15.75n - 12.75n
12 = 3n
n = 12/3
n = 4
Learn more about equation:
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Sylvia is practicing for her next track meet by running laps and recording her time.For each timed practice run, Sylvia runs a total of 2000 meters.Each lap is exactly 200 meters.If Sylvia has exactly 200 meters left to run, how many laps has she completed?
Sylvia has completed 9 laps.
Step-by-step explanation:
Step 1; Sylvia runs for a total of 2000 meters. Each lap is 200 meters long. To find the number of laps remaining we need to know the total distance, the distance already covered and the distance on each lap. The distance left to run is equal to the total distance to be run - the distance already ran = 2000 - 1800 meters = 200 meters.
Step 2; The number of laps remaining = The distance left to run/distance on each lap.
The number Number of laps remaining = 200 meters/200 meters
The number of laps remaining = 1 lap.
Final answer:
To determine the number of laps a runner has completed when given the remaining distance to run and the length of each lap, multiply the number of laps by the length of one lap. Answer is 9 laps.
Explanation:
To convert the number of track laps to a distance in meters:
First, determine the length of one lap in meters (e.g., 200 meters in this case).Next, multiply the number of laps completed by the length of one lap to find the total distance covered.For Sylvia, if she has 200 meters left to run and each lap is 200 meters, she has completed a total of 9 laps (2000 total meters - 200 meters left = 1800 meters covered; 1800 meters / 200 meters per lap = 9 laps).Anybody know the answer I need help. Please
Answer:
[tex]\dfrac{p^2+9p+2}{p^2-49}[/tex]
Step-by-step explanation:
Problems like this require that you recognize that the denominator of the right term is a factor of the denominator of the left term. That is, you're supposed to know how to recognize and factor the difference of two squares.
[tex]\dfrac{5-p}{49-p^2}+\dfrac{p+1}{p-7}=\dfrac{p-5}{p^2-49}+\dfrac{p+1}{p-7}\\\\=\dfrac{p-5}{(p-7)(p+7)}+\dfrac{p+1}{p-7}\cdot\dfrac{p+7}{p+7}\\\\=\dfrac{(p-5)+(p+1)(p+7)}{(p-7)(p+7)}=\dfrac{p-5+p^2+8p+7}{p^2-49}=\dfrac{p^2+9p+2}{p^2-49}[/tex]
While Jane was visiting her sister in Winchester, she bought a wooden bench that was marked down 25% from an original price of $80. If the sales tax in Winchester is 10%, what was the total cost of the wooden bench?
Answer:
Step-by-step explanation:
The total cost of the bench would be $72 after the markdown being 10% from the orginal proce which was $80.
PLZZ HELP MEHH Sara graphs each quadratic equation. Which graph is the narrowest?
A) y = x2
B) y = 2x2
C) y =1/2x^2
D) y =1/4x^2
Answer:
(B) y=2x^2
Step-by-step explanation:
(1/2) and (1/4) make the graph wider
2 makes it narrower
Final answer:
The narrowest graph among the given options is the graph of the equation with the largest coefficient, which is y = 2x² , which is option B.
Explanation:
The width of the parabola's graph is determined by the coefficient of the x² term in a quadratic equation of the form y = ax². The larger the absolute value of coefficient a, the narrower the parabola. Therefore, we can compare the coefficients in the given equations:
y = x² has a coefficient of 1.
y = 2x² has a coefficient of 2, which makes it narrower than the first equation.
y = 1/2x² has a coefficient of 1/2, which makes it wider than the first equation.
y = 1/4x² has a coefficient of 1/4, which makes it the widest among all.
Consequently, the graph of equation B, y = 2x², is the narrowest because it has the largest coefficient.
-WILL GIVE BRAINLY- Write an equivalent expression using the distributive property. a. 12x + 10 b. – x + 8
Answer:
Step-by-step explanation:
A) 12x+10=2(6x+5)
B) -x+8=-(x-8)
Jerry has a miniature model of a boat. He knows that the boat is 3 3/4 inches wide and 5 1/2 inches long. What is the actual length of the boat if the actual width is 15 feet?
Width of the miniature model = [tex]3\frac{3}{4}[/tex] inches
Length of the miniature model = [tex]5\frac{1}{2}[/tex] inches
The actual width of the boat = 15 feet
Let us find the actual length of the boat.
Write it in a proportion form.
width of model : length of model : : width of actual : length of actual
[tex]$\Rightarrow 3\frac{3}{4}:5\frac{1}{2}::15:x[/tex]
[tex]$\Rightarrow\frac{15}{4}:\frac{11}{2}::15:x[/tex]
[tex]$\Rightarrow\frac{\frac{15}{4}}{\frac{11}{2}} =\frac{15}{x}[/tex]
Do cross multiplication.
[tex]$\Rightarrow{\frac{15}{4}x =15\times\frac{11}{2}[/tex]
[tex]$\Rightarrow{\frac{15}{4}x =\frac{165}{2}[/tex]
[tex]$\Rightarrow x =\frac{165}{2}\times{\frac{4}{15}[/tex]
⇒ x = 22
Hence the actual length of the boat is 22 feet.
through:(3,5), parallel to y=9/5x+5
Answer:
False
Step-by-step explanation:
5=9/5.3+5
5=45.3+5
5= 135+5
5 does not =140
What is 4/5 times 2 1/2
Answer: 2
Step-by-step explanation:
4/5 x 2 1/2 = ?
Convert 2 1/2 to 5/2
4/5 x 5/2 = ?
Do 4 x 5, and then 5 x 2.
4 x 5 = 20
5 x 2 = 10
The new fraction is now 20/10.
You can simplify the fraction to 2.
20/10=2
Answer:
2
Step-by-step explanation
4 x 5 = 20 20/10= 2
5 x 2 = 10
i'm sorry for the bad explanation. i'm still testing the stuff. :P
hope this helps you though! :3
Find the equation of the line in gradient intercept for that has an x intercept of 3 and a y intercept of -4. Show working out
Answer:
y = (4/3)x - 4
Step-by-step explanation:
(3,0) & (0,-4)
m = (-4-0)/(0-3) = -4/-3 = 4/3
y = (4/3)x + c
c is the y-intercept which is -4
y = (4/3)x - 4
Vince went on a 3 day hiking trip. Each day, he walked 3/4the distance that he walked the day before. He walked 83.25 kilometers total on the trip. How far did Vince walk on the 1st day of the trip?
Answer
36 km
Step-by-step explanation:
Suppose he walked n km on the first day
We create the following equation
n + 3/4 n + (3/4)^2 n = 83.25
n + 0.75n + 0.5625n = 83.25
2.3125n = 83.25
n = 36 km
Answer:
36
Step-by-step explanation:
Solve each inequality
1/4x + 9 > 17
Answer:
x>32
Step-by-step explanation:
1/4x+9>17
1/4x>17-9
1/4x>8
x>8/(1/4)
x>8(4/1)
x>32
Answer:
6/4
Step-by-step explanation:
9-17=6
1/4*6
6/4
I hope this helps
Four times the difference of k and three
Answer:
4 (k-3)
Step-by-step explanation:
Slope is 2 and goes through the point (0,-11)
Answer:
y = 2x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2
The line crosses the y- axis at (0, - 1) ⇒ c = - 1
y = 2x - 1 ← equation of line
4a-5b:5a+4b=1:3 then find the value of a:b
Answer:
a : b = 19 : 7
Step-by-step explanation:
Given
4a - 5b : 5a + 4b = 1 : 3
Expressing in fractional form, that is
[tex]\frac{4a-5b}{5a+4b}[/tex] = [tex]\frac{1}{3}[/tex] ( cross- multiply )
3(4a - 5b) = 5a + 4b ← distribute left side
12a - 15b = 5a + 4b ( subtract 5a from both sides )
7a - 15b = 4b ( add 15b to both sides )
7a = 19b ( divide both sides by 7 )
a = [tex]\frac{19}{7}[/tex] b ( divide both sides by b )
[tex]\frac{a}{b}[/tex] = [tex]\frac{19}{7}[/tex]
That is a : b = 19 : 7
Answer:
Step-by-step explanation:
4a-5b:5a+4b=1:3
4a-5b/5a+4b=1:3cross multiply
3(4a-5b)=1(5a+4b)
12a-15b=5a+4b
Collect like terms
12a-5a=4b+15b
7a=19b
a:b=7:19
units.
Write the equation of a line in slope intercept
form that has a slope of
-2/3 and has a y-intercept of 7.
solve the system of equations by substitution -6x+7y=23, -5x+y=24
Answer:
x = -5, y = -1
Step-by-step explanation:
You're given 2 equations:
-6x + 7y = 23
-5x + y = 24
you choose the equation that is easier to isolate a single variable to use as your substitution. I chose -5x + y = 24 because the 'y' is already by itself. Now solve for 'y'.
-5x + y = 24
y = 24 + 5x
Use this y-value to substitute into your other equation
-6x + 7y = 23
-6x + 7(24 + 5x) = 23
-6x + 168 + 35x = 23
29x = 23 - 168
29x = -145
x = -5
We found the value of 'x', so plug it back in to any of the two given equation to solve for y.
-5x + y = 24
-5(-5) + y = 24
25 + y = 24
y = 24 - 25
y = -1
Answer:
(-5,-1)
Step-by-step explanation:
First you must get a variable on one side alone. For example I done Y on the 2nd one. So to move it, you would take the 5x and move/add to the other side so Y=5x+24.
Then the substitution comes in. So you take
-6x+7(5x+24)=23 so you would plug in what Y equals. Then after you distribute the seven you would combine like terms. Then you take and move/subtract 168 from 23 which equals -145. Then you would divide by the number attached to the variable which is 29, therefore giving you x=-5
Then to get Y you simply plug what X equals into the X space.
Y=5(-5)+24
Y= -25+24
Y=-1