Answers
The measure of angle V i.e. [tex]m\angle V[/tex] is [tex]60^\circ[/tex].
For the triangle TUV ([tex]\triangle TUV[/tex]), all the sides are of same length i.e. 9. So we can consider this as an equilateral triangle.
We know for an equilateral triangle all of the angles are of same measure.
Now the sum of all angles of a triangle is [tex]180^\circ[/tex] and there are 3 angles in a triangle. So, each angle will be of measure [tex]60^\circ[/tex].
Therefore the measure of [tex]\angle V[/tex] i.e. [tex]m\angle V[/tex] is [tex]60^\circ[/tex].
Also the basic three properties of an equilateral triangle are:
All three sides are equal.All three angles are equal.The figure has three lines of symmetry.To learn more about angles,
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Related Questions
Determine which integer in the solution set will make the equation true. t − 42 = −14 S: {−56, −28, 3, 28}
Answers
Answer:
28
Step-by-step explanation:
Determine which integer in the solution set will make the equation true. t − 42 = −14 {−56, −28, 3, 28}
replace 28 for t:
t − 42 = −14
28 − 42 = −14
−14 = −14
Answer:
28
Step-by-step explanation:
You want the value of t that satisfies t − 42 = −14.
One-step linear equationThe solution to this 1-step linear equation is to add the opposite of the unwanted constant (-42).
Adding 42 to both sides of the equation gives ...
t -42 +42 = -14 +42
t = 28
The integer that makes the equation true is 28.
A rectangular park is 110 yards long and 70 yards wide. Give the length and width of another rectangular park that has the same perimeter but a smaller area.
Answers
We shall therefore obtain a square as a result. Since each square is a rectangle, the same perimeter and smaller area will be produced by using length and breadth of 90 yards.
What is area?The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a shape or planar lamina.
Here,
original length=110 yards
original width=70 yards
perimeter=2(110+70)
=2*180
=360 yards
x+y=180
y=180-x
area=xy
A=x(180-x)
A=180x-x²
A'=180-2x
A'=0
2x=180
x=90 yards
y=90 yards
We shall so receive a square as a result. Given that each square is a rectangle, a length and width of 90 yards will result in a smaller area and the same perimeter.
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Calculate (4p +3q)² when p 2 and q = -1
Answers
Answer: read below and learn how to do it so you won’t struggle the rest of highschool college and the real world!
Step-by-step explanation:
you just plug in 2 for p and -1 for q and solve.
(4x2+3x-1)^2
4x2 =8 3x-1 =-3
(8+-3)^2
(5)^2
5x5=25
••therefore your answer is 25
it’s basic algebra. it’s not calculus:)
A roll of paper that is 3 feet wide can be cut to any length.
a. If we cut a length of 2.5 feet, what is the perimeter of the paper?
b. Complete the table with the perimeter for each given side length.
Then, write a rule for a function, P, that gives the perimeter of the paper in feet when the side length in feet is L, use a function notation
Answers
The Perimeter of the paper 11 feet and the missing data in the table is: 8, 10, 18.6, 28, 2l + 6
What is the area of the rectangle?It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
It is defined as the two-dimensional geometry in which the angle between the adjacent sides are 90 degree. It is a type of quadrilateral.
It is given that the length of the paper is 2.5 feet, and the breadth of the paper is 3 feet.
Using the perimeter of the rectangle:
Perimeter of the paper = 2(l+w) = 2(5.5) = 11=2(l+w)=2(5.5)=11 feet.
The missing data in the table is: 8, 10, 18.6, 28, 2l + 6
Thus, the Perimeter of the paper 11 feet and the missing data in the table is: 8, 10, 18.6, 28, 2l + 6
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find the equation of a line passing through points (-9,8) (-18,12)
Answers
Answer: -4/9
Step-by-step explanation:
12 - 8 / -18 - (-9)
4 / -18 + 9
4 / -9
- 4/9
4)In the figure below, AABC~ABDE.
What is the value of segment BC?
F. 10.5
G. 13.5
H. 19.5
I. 20.5
Answers
Answer:
G.
8+4 / 4 = x+9 / x
8x = 36
x=4.5
BC=x+9 =13.5
The point (2, 90) represents the value that after 2 weeks, Paul's math average is a 90. The
point (4, 50) represents the value that after 4 weeks, Paul's grade has dropped to a 50
because he doesn't do homework and doesn't know how to log into Quizlet. What equation
represents the line of Paul's grade downfall? (5 Points)
y = -0.10x + 130
y=20x-100
y = 20x- 130
y=0.10x+90
y=-20x+90
y=-20x+130
Answers
Answer:
The equation that represents the line of Paul's grade downfall is:
y = (-20)x + 130
This equation states that for every decrease of 1 in the value of x (representing the number of weeks), the value of y (representing Paul's math average) decreases by 20.
Step-by-step explanation:
To find the equation that represents the line of Paul's grade downfall, we can use the two given points to plot the line on a coordinate plane. The point (2, 90) represents the value that after 2 weeks, Paul's math average is 90, and the point (4, 50) represents the value that after 4 weeks, Paul's grade has dropped to 50. We can plot these two points on the coordinate plane as follows:
(2, 90)
(4, 50)
To find the equation of the line that passes through these two points, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope of the line and b is the y-intercept.
To find the slope of the line, we can use the formula:
m = (y2 - y1) / (x2 - x1)
Substituting the coordinates of the two points, we get:
m = (50 - 90) / (4 - 2)
= -40 / 2
= -20
To find the y-intercept of the line, we can substitute the coordinates of one of the points and the slope into the slope-intercept form of the equation:
y = mx + b
Substituting the coordinates of the point (2, 90) and the slope of -20, we get:
90 = (-20)(2) + b
= -40 + b
= b - 40
Solving for b, we get:
b = 90 + 40
= 130
if we have a class of 15 students and we want to choose a committee of 5 students, their order and position don't matter, how many different ways are there of creating a 5-person committee among the 15 students?
Answers
if we have a class of 15 students and we want to choose a committee of 5 students, their order and position don't matter, 3003 many different ways are there of creating a 5-person committee among the 15 students.
What is combination formula?The combination formula is used to determine how many options there are for choosing things from a collection so that the order in which they are chosen is irrelevant. Combination, to put it simply, is the choosing of items or things from a bigger group when the order doesn't important.
Since order and position doesn't matter in this problem, use the combination formula.
The combination formula is: n! / (n-r)! r!
where n is the total number of items (15 in this case) and r is the number of items being selected at once (5 in this case)
Plugging our numbers into the formula:
= 15! / (15-5)! 5!
= 3003 ways.
So, there are 3003 ways of picking 5 people from a group of 15.
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−3/8x ≤ 24
please help me
Answers
[tex]-\dfrac{3}{8} x\leq 24[/tex]
Multiply both sides by [tex]-\dfrac{8}{3}[/tex]:
[tex](-\dfrac{8}{3} )\times(-\dfrac{3}{8} x)\leq (-\dfrac{8}{3} )\times24[/tex]
When multiplying or dividing by negative numbers, the sign will flip.
[tex]\fbox{x}\geq \fbox{-64}[/tex]
i need help pls and explain how it would help alot thjanks
Answers
Answer:
neither are functions
Step-by-step explanation:
For a relation to be a function each value of the input x must map to exactly one unique value in the output y
(1)
This relation is not a function since
7 → 2 and 5 → 2
Two different values of x have the same output , thus not a function
(2)
This relation is not a function since
3 → 10 and 3 → 8
Two different values of x have the same output, thus not a function
Answer:
Step-by-step explanation:
neither are functions
A candle is 18 in. tall after burning for 3 hours. After 5 hours, it is 16.5 in. tall. Write a linear equation to model
the relationship between height h of the candle and time t. Predict how tall the candle will be after burning 8
hours.
a. h(t) = -0.75t + 20.25; 14.25 inches
b. h(t) = 0.75t + 15.75; 9.75 inches
c. h(t) = -0.75t + 15.75; 9.75 inches
d. h(t) = 0.75t + 20.25; 14.25 inches
Answers
Answer: To write a linear equation to model the relationship between the height h of the candle and time t, we need to find the slope and y-intercept of the line that represents this relationship.
The slope of the line is given by the rise over the run, or the change in the y-value (the height of the candle) over the change in the x-value (the time). We can calculate the slope by taking the difference in the height of the candle after 5 hours and 3 hours, and dividing it by the difference in the time:
slope = (16.5 - 18) / (5 - 3) = (-1.5) / (2) = -0.75
The y-intercept of the line is the point at which the line crosses the y-axis. This is the height of the candle when the time is 0. We can use the height of the candle after 3 hours as the y-intercept, since this is the height when the time is 3:
y-intercept = 18
We can use these values to write a linear equation in the form y = mx + b, where m is the slope and b is the y-intercept.
Plugging in the values we found, we get:
h(t) = -0.75t + 18
This is the linear equation that models the relationship between the height h of the candle and time t.
To predict how tall the candle will be after burning for 8 hours, we can plug in t = 8 into the equation:
h(8) = -0.75(8) + 18 = -6 + 18 = 12 inches
This means that the candle will be 12 inches tall after burning for 8 hours.
Therefore, the correct answer is (d) h(t) = 0.75t + 20.25; 14.25 inches.
To write a linear equation to model the relationship between the height of the candle and time, we can use the information given. We know that after 3 hours, the candle is 18 inches tall, and after 5 hours, it is 16.5 inches tall.
We can set up a system of linear equations to represent this information. Let's call the height of the candle h and the time t. Then we can set up the following system:
h = 18 - 3t
h = 16.5 - 5t
To solve this system, we can set the two equations equal to each other and solve for t:
18 - 3t = 16.5 - 5t
1.5 = 2t
t = 0.75
This tells us that the height of the candle decreases by 0.75 inches per hour.
Now we can use this information to predict how tall the candle will be after 8 hours. We can plug in 8 for t in the equation h = 18 - 3t to find the height of the candle:
h = 18 - 3(8)
h = 18 - 24
h = -6 inches
So the candle will be about 6 inches shorter after burning for 8 hours. This means it will be about 10.5 inches tall.
The correct option is c, h(t) = -0.75t + 15.75; 9.75 inches.
This is because we found that the height of the candle decreases by 0.75 inches per hour, which is represented by the coefficient of t in the equation. The y-intercept, 15.75, represents the initial height of the candle, which we found to be 16.5 inches.
Happy to help!
Answer to what the value of x is
Answers
Answer: 17
Step-by-step explanation:
11x - 39 = 10x - 22
11x = 10x + 17
x = 17
I need help with this question been stuck on it for a while
Answers
The correct options are B and C, or 3x-21 and -3x21, since the inequality sign must be "flipped," or reversed, whenever you multiply or divide both sides of the inequality.
What is inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.
Here,
Anytime you multiply or divide both sides of the inequality, you must “flip” or change the direction of the inequality sign. This means that if you had a less than sign <, it would become a greater than sign >.
x≤-7
3x≥-21
-3x≤21
The correct options are B and C that is 3x≥-21 and -3x≤21 because anytime you multiply or divide both sides of the inequality, you must “flip” or change the direction of the inequality sign.
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Question 1-7
Similar triangles MRC and WYC are shown where MR = 14, CR=28, WY = 6, and MW = 17.88.
What is the length of YC?
Answers
In the triangle WYC, the length of the side YC is 4.76 units.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know a line segment parallel to a side of a triangle divides the other two sides in the same ratio.
Given, In a ΔMRC and ΔWYC MR = 14, CR=28, WY = 6, and MW = 17.88.
Now, MR = 14 and MW = 17.88.
Therefore, (MW/MR) = 17.88/14 = 1.28.
So, If WY = 6, then WE = (1.28)(6) = 7.66.
Now, In the ΔWYC, WY = 6 and WE = 7.66.
Therefore from the Pythagoras's theorem,
WE² - WY² = YC².
YC² = (7.66)² - 6².
YC² = 22.68.
YC = 4.76.
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Alex made a $4000 down payment on a car. The total cost of the car was $11000. He made 40 equal monthly payments to pay the car in full. How much did Alex pay per month? Define a variable, write an equation, and solve.
Answers
Answer: Alex Paid $175 for 40 months
Step-by-step explanation:
$4000 = y-int or b
$11000 = y
40 months = x
Slope - intercept form : Y=mx+b
We are solving for m which is the slope (How much Alex Paid per month)
11000=m(40)+4000
11000=40m+4000
7000=40m
7000/40
m=175
Which line is parallel to the line given below? y=-4/3x+1
Answers
The line which is parallel to the given line y=-4/3x+1 is y = -4/3x + 2
What is the equation of the line?
The general equation of a straight line is y = mx + c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis. Key Point. The equation of a straight line with gradient m and intercept c on the y-axis is y = mx + c.
Given that the equation of the line is:
y = -4/3x + 1 ..........(1)
To find the equation of the line is parallel to the given line equation.
We know that the given equation is in the slope-intercept form
y = mx+c, where m is the slope and c, is the intercept.
Compare with given equation(1) we get
m = -4/3 and c=1
Now change the y-intercept c=1 to an intercept of c= 2
Therefore (1) becomes
y = -4/3x + 2
Hence, The equation of line y = -4/3x + 2 is the parallel line to the given equation of the line.
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23 ✓24 In a recent year, 23.1% of all registered doctors were female. If there were 55,700 female registered doctors that year, what was the total number of registered doctors? Round your answer to the nearest whole number.
Answers
The Total number of registered doctors will be 246753.
How to illustrate the percentage?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.
Let the total number of doctors be x.
Since 23.1% of all registered doctors were female. If there were 55,700 female registered doctors that year. This will be:
23.1% × x = 55700
0.231x = 55700
Divide
x = 57000 / 0.231
x =246753
The doctors are =246753.
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Quick!
The chart shows the results of 24 spins that Suzanne made with a spinner.
Based on these results, what is the probability that Suzanne's spinner will land on France the next time?
Answers
Answer:
I was going to answer but there is no attachment.
Step-by-step explanation:
Helena currently earns £3150 per
month.
If she receives a 13.5% pay increase,
how much will she earn per month?
Give your answer in pounds (£).
Answers
The new pay amount Helena will earn per month after the pay increase is equal to £3575.25
What is Percentage Increase?
The difference, stated as a percentage, between the final value and the starting value is known as a percentage increase.The final increase in quantity is expressed as a percentage by the term "percentage increase." A quantity's growth from its starting value to its final value through time is compared using the percentage increase formula. The final value minus the initial value, divided by the initial value, and multiplied by 100 are how this formula is mathematically expressed.In the question, it is given that Helena earns a monthly pay of £3150.
Now, we have to calculate the monthly pay earned by Helena when she receives a pay increase of 13.5%.
For calculating the new monthly pay amount, first, find 13.5% of the original pay.
[tex]\implies \frac{13.5}{100} \times 3150=425.25[/tex] -------(1)
Next, adding the original monthly pay with the increased pay calculated in (1), we get the new monthly pay.
[tex]\implies 3150+425.25=3575.25[/tex]
Therefore, the new pay amount Helena will earn after the pay increase is equal to £3575.25
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In it's first four games, a netball team scores an average of 31 points per game. After the fifth game, the average for the first five games is 30. How many points did the team score in the fifth game?
Answers
The score of the netball team in 5th game is 26.
What is average?A number that is calculated by adding quantities together and then dividing the total by the number of quantities is called average.
Given that, a team scored average 31 points in first four game, and then 30 points average in first five game.
Score in 4 games = 4x31 = 124
Score in 5 games = 5x30 = 150
Score in 5th game = 150-124 = 26
Hence, The score of the netball team in the 5th game is 26.
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P, R and S are three persons with ages 26 years, 27 years and 28 years respectively. In what ratio must they invest money at 10% per annum compounded yearly so that each gets same sum at the age of their retirement ?
- 100 : 110 : 121
- 80 : 100 : 99
- 100 : 121 : 132
- 89 : 95 : 100
Hey!! Can anyone please tell me the answer ??
Answers
100 : 110 : 121 is the ratio must they invest money at 10% per annum compounded yearly so that each gets same sum at the age of their retirement
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
Let P, R and S are three persons with ages 26 years, 27 years and 28 years
We need to find the ratio must they invest money at 10% per annum compounded yearly so that each gets same sum at the age of their retirement
x(11/10)ⁿ=y(11/10)ⁿ⁻¹=3(11/10)ⁿ⁻²
x.121/100=y.11/10=3
x/100=y/110=3/121
Hence, 100 : 110 : 121 is the ratio must they invest money at 10% per annum compounded yearly so that each gets same sum at the age of their retirement
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The width of a sandbox is represented by x+5 The length of the sandbox is double the width. Determine an expression that would represent the area of the sandbox. To earn full credit, show your work using a method explained in the Orientation.
Answers
Answer: (x+5)(2x+10)
Step-by-step explanation: I see your comment, so try to help you fast, I am in a rush, so can't type all the work on paper yet, sorry!
In triangle TSP, TS=SP=10 cm, TP= 12 cm. Find three heights of triangle TSP
pls answer quickly I will give brainliest to fastest answer
Answers
Answer:
Plot each graph on the same coordinate system.
TSP
TP=12cm
T
Step-by-step explanation:
What is the equation of a line, in point-slope form, that passes through (-2,-6) and has a slope of?
y+2=1/3 (x+6)
y+6=1/3 (x+2)
y 6=1/3(x-2)
y-2=1/3(x-6)
Answers
Answer:
y+6=(1)/(3) (x+2)
Step-by-step explanation:
substitute (-2,-6) until equality is found
y+6=(1)/(3) (x+2)
(-6)+6=(1)/(3) ((-2)+2)
0 = 1/3 (-2+2)
0 = 0
confirm it with a graph
Adam and Eric went hiking at different times. Adam is currently 73 feet above sea level while Eric is just starting at 24 feet below sea level. What is the difference in their elevations?
Answers
Answer: The answer is 97
Step-by-step explanation:
Since Adam is above sea level, the number 73 is positive. The number 24 would be negative since it's below sea level.
73 - ( -24) = 97
To check to make sure it's right we can do this:
-24 + 97 = 73
73 - 97 = -24
Pls answer and show work
Answers
The values of x and y are obtained as 12.99 and 7.5 respectively.
What are trigonometric ratios?The trigonometric ratios are defined for a right angled triangle.
The example of these ratios are sin, cos, tan, cosec, sec and cot.
The trigonometric ratios are useful in determining the heights and distances of the large objects.
For the given triangle, the trigonometric ratios are used as follows,
Cos(30°) = x/15
=> √3/2 = x/15
=> x = 15√3/2
=> x = 15 × 0.866
= 12.99
And,
Sin(30°) = y/15
=> 1/2 = y/15
=> y = 15/2
= 7.5
Hence, for the given triangle the values of x and y are given as 12.99 and 7.5 respectively.
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I NEED URGENT HELP.⚠️
Find the intercepts of the line
y+1=3(x-4)
Answers
Answer:
x=13/3
Step-by-step explanation:
if it takes five machines five minutes to make five widgets, how long would it take 100 machines to make 100 widgets?
Answers
Answer:
5 minutes
Step-by-step explanation:
Given:
It takes five machines five minutes to make five widgets
Let's first determine how much time it takes one machine to make one widget
5 machines -> 5 widgets -> 5 minutes1 machine will take 5 times as long to make 5 widgets
1 machine -> 5 widgets-> 5 * 5 minutes1 machine -> 5 widgets-> 25 minutes
Therefore for 1 machine to make 1 widget it will take 1/5th of the time
1 machine -> 1 widget -> 5 minutes
To make 100 widgets, 1 machine will take 5 x 100 minutes or 500 minutes
If we use 100 machines this time will be reduced by 100
100 machines -> 100 widgets -> 5 minutesIn △QRS , point A is between points Q and R, point B is between points R and S, and AB∥QS. QA=23 cm , QR=41 cm , and RS=123 cm . What is RB ?
Answers
The length of RB of the given triangle is; RB = 54 cm
What is the missing side length of the triangle?We are given that in △QRS;
Point A is between points Q and R
Point B is between points R and S
AB∥QS
QA = 23 cm
QR = 41 cm
RS = 123 cm
Let us first find the ratio between RS and QR.
Ratio = RS ÷ QR
Ratio = 123 ÷ 41 = 3
QA × 3
23 × 3 = 69
Thus;
BS = 69
Thus;
RB = RS - BS
RB = 123 - 69
RB= 54 cm
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Are the lines C and D parallel? (The figure may not be drawn to scale). Giving brainliest for whoever answers correctly
1. Yes
2.no
3. Can’t be determined
Answers
Yes the given C and D lines are parallel
How to know two lines are parallel lines?
Any two parallel lines that are crossed by a transversal can be recognized by the following characteristics.
If the corresponding angles created by any two lines are equal, then the lines are said to be parallel.If the alternate internal angles created are equal, any two lines are considered to be parallel.If the alternate outside angles created are equal, any two lines are considered to be parallel.If the consecutive interior angles on the same side of the transversal are supplementary, any two lines are said to be parallel.The fundamental characteristics listed below make it simple to recognize parallel lines.
Straight lines that are always the same distance away from one another are called parallel lines.No matter how far apart they are from one another, parallel lines can never intersect.as the sum of the given angle c and d i.e. 48+132 is 180 it clearly shows that it is the Pairs of interior angles on the same side of the transversal which proves that the given lines C and D are parallel
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