In Part (A) answers are AA, CB, DC and BD.
In Part (B) Martin should expect to spin C and then A about 33 times in 400 trials.
Find how many time should he expect to spin C and then A?To find how many times Martin should expect to spin C and then A in 400 trials, we need to determine the probability of spinning C on the first spin and A on the second spin.
From the table in part A, we can see that there are 16 possible outcomes, and that C is one of the four possible outcomes on the first spin. Therefore, the probability of spinning C on the first spin is 4/16 = 1/4.
Once C is spun on the first spin, there are three possible outcomes left for the second spin, and one of those outcomes is A. Therefore, the probability of spinning A on the second spin, given that C was spun on the first spin, is 1/3.
To find the probability of spinning C and then A, we multiply the probabilities of spinning C on the first spin and A on the second spin. That is:
P(C and A) = P(C) x P(A given C)
= (1/4) x (1/3)
= 1/12
Therefore, the expected number of times Martin should spin C and then A in 400 trials is:
Expected number of times = P(C and A) x number of trials
= (1/12) x 400
= 33.33
Therefore, Martin should expect to spin C and then A about 33 times.
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Pablo solved the polynomial equations given in the table. Determine whether each polynomial is correct. Select Correct or Incorrect for each equation.
Equation
(b²+7b-9)+(4b-6b²) = -8b² + 14b-9
(4a+6)-(3a²-9a+1)=-3a²+ 13a +5
(12c-8c²)+(5c²- 10c) = -3c²+2c
The first equation is incorrect.
The second equation is correct.
The third equation is correct.
Let's go through each equation and determine whether it is correct or incorrect:
(b²+7b-9)+(4b-6b²) = -8b² + 14b-9
To determine if this equation is correct, we need to simplify both sides and check if they are equal.
On the left side:
(b²+7b-9)+(4b-6b²) = b² - 6b² + 7b + 4b - 9 = -5b² + 11b - 9
On the right side:
-8b² + 14b - 9
Comparing both sides, we can see that -5b² + 11b - 9 is not equal to -8b² + 14b - 9. Therefore, the equation is incorrect.
(4a+6)-(3a²-9a+1)=-3a²+ 13a +5
Again, we need to simplify both sides of the equation and check if they are equal.
On the left side:
(4a+6)-(3a²-9a+1) = 4a + 6 - 3a² + 9a - 1 = -3a² + 13a + 5
On the right side:
-3a² + 13a + 5
Comparing both sides, we can see that -3a² + 13a + 5 is equal to -3a² + 13a + 5. Therefore, the equation is correct.
(12c-8c²)+(5c²- 10c) = -3c²+2c
Again, let's simplify both sides and compare them.
On the left side:
(12c-8c²)+(5c²- 10c) = 12c - 8c² + 5c² - 10c = -3c² + 2c
On the right side:
-3c² + 2c
Comparing both sides, we can see that -3c² + 2c is equal to -3c² + 2c. Therefore, the equation is correct.
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The diagonals of parallelogram ABCD intersect at P. Which statements must be true? Select all that apply.
The statements that will be true about parallelogram ABCD are: A, B, D, and E.
Properties of a Parallelogram -
Diagonals of a parallelogram bisect each other into congruent segments.
Opposite angles and sides of a parallelogram are always congruent.
Alternate interior angles are always congruent in measure.
Thus, the following would be true of parallelogram ABCD:
AP ≅ CP (congruent segment's of a bisected diagonal)
BC ≅ AD (congruent opposite sides)
∠CAD ≅ ∠ACB (congruent angles)
∠BPC ≅ ∠APD (congruent angles)
Therefore, the statements that will be true about parallelogram ABCD are: A, B, D, and E.
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What is the factored form of 25d^2 – 64?
Explanation:
Use the difference of squares rule
a^2 - b^2 = (a+b)(a-b)
(5d)^2 - 8^2 = (5d+8)(5d-8)
25d^2 - 64 = (5d+8)(5d-8)
i need help on this! its due today
Answer:
a) It's growing by 1 Hexagon in each term
b) (Self Explanatory, but if you still font know, just add 1 hexagon on the bottom tail)
c) 1-4
2-5
3-6
4-7
5-8
d) 1 hexagon is added each time
e) Common Difference = a1 - a
= 5 - 4
= 1
f) Consider the equation n + 3
where n is the number of terms.
In this case, n = 12
= 12 + 3
= 15 Hexagons
g) f(n) = 4 + 1(n-1)
f(1) = 4 + 1 ( 1 - 1)
f(1) = 4 + 1 (0)
f(1) = 4 + 0
f(1) = 4
h) (Forgive me, I actually don't know the answer for this one :'( )
Jaxon is flying a kite, holding his hands a distance of 3.25 feet above the ground and letting all the kite’s strings play out. He measures the angle of elevation from his hand to the kite to be 24∘. If the string from the kite to his hand is 105 feet long, how many feet is the kite above the ground? Round your answer to the nearest tenth of a foot if necessary.
Answer: 46.0 ft
Step-by-step explanation:
\(\sin 24^{\circ}=\frac{x}{105}\\\\x=105\sin 24^{\circ}\)
So, the distance above the ground is \(105\sin 24^{\circ}+3.25 \approx \boxed{46.0 \text{ ft}}\)
Helpppppp!!!!! Please
Step-by-step explanation:
Marcel will take 35 days, xion will take 44 days (43.75), Francesca will take 32 days, and amber will take 44 days (43.75)
!!!!PLS HELP!!!
Kambo is making 16 necklaces for a croft sale. She is useing 91 beads for each necklace. Kambo has a package of 1,550 bead. How many beads will be left over after necklaces
Answer:
17.03
Step-by-step explanation:
basically you're dividing the ammount of beads it takes to fill a necklace (91) and the ammount of beads Kambo has all together (1,550)
1,550 / 91 = 17.03
The machinery in a cereal plant fills 350 g boxes of cereal. The specifications for the machinery permit for a certain amount of fill tolerance. It is found that the weights of filled cereal boxes are normally distributed with a mean of 350 g and a standard deviation of 4 g. What is the probability that a box of cereal is under filled by 5 g or more?
There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.
To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.
First, we can standardize the problem by using the z-score formula:
z = (x - μ) / σ
Where:
x = the weight value we want to find the probability for (345 g in this case)
μ = the mean weight (350 g)
σ = the standard deviation (4 g)
Substituting the values into the formula:
z = (345 - 350) / 4 = -1.25
Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.
The probability of obtaining a z-score less than -1.25 is approximately 0.1056.
However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.
The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.
Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.
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Which of the following is the most likely the next step in the series?
Answer: C is the correct answer!I don't feel like explaining. sorry.Please let me know if I am wrong.
Please answer this correctly
Answer:
27 yards squared.
Step-by-step explanation:
Perimeter of the left rectangle: 24
Perimeter of the right rectangle: 24
3x2=6
24-6=18
18/2=9
So the vertical length (width) of the orange rectangle is 9 yards.
Thus, the a rea is 9x3, which is 27 yards squared
Answer:
27
Step-by-step explanation:
8+4+8+4=24
3+3=6
24-6=18
18/2=9
9*3= 27
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100 POINTS!!
Write an equation in which the quadratic expression 4x^2-4x-48 equals 0
Answer:
See belowStep-by-step explanation:
The equation is:
4x² - 4x - 48 = 0Simplify:
x² - x - 12 = 0Solve for x if required:
x² + 3x - 4x - 12 = 0x(x + 3) - 4(x + 3) = 0(x + 3((x - 4) = 0x = -3 or x = 4The owner of a bookstore recorded the following information from last
week:
12
18
24
30
36
42
Number of
Customers,
С
Amount of
Sales,
S
$80
$110
$140
$170
$200
$230
According to this information, which equation describes the relationship
between the number of customers and the amount of sales?
A. S = 50 + 20
C. s = 6c + 20
B. s = c + 30
D. s = 6c + 8
Answer:
s=5c+20
Step-by-step explanation:
hope this helps
Experience has shown that a certain lie detector will show a positive reading (indicates a lie) 10% of the time when a person is telling the truth and 95% of the time when a person is lying. Suppose that a random sample of 5 suspects is subjected to a lie detector test regarding a recent crime. The probability of observing no positive reading if all suspects are telling the truth is: (a) 0.00 (b) 0.23 (c) 0.41 (d) 0.59 (e) 0.77
The probability of observing no positive reading if all suspects are telling the truth is d. 0.59. Probability theory is a branch of mathematics that is used to model and analyze random events.
Probability can be used to predict the likelihood of different outcomes in a wide range of situations, from games of chance to scientific experiments to everyday events. Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is certain.
To solve this problem, we need to calculate the probability of observing no positive readings given that all suspects are telling the truth, which is equal to the probability that all 5 suspects receive a negative reading on the lie detector test. Since the lie detector will show a positive reading 10% of the time when a person is telling the truth, the probability that a suspect will receive a negative reading when telling the truth is 1 - 10% = 90%. Therefore, the probability that all 5 suspects will receive a negative reading when telling the truth is:
(90%)^5 = (0.9)^5 = 0.59049.
The correct answer is therefore (d) 0.59.
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What is the exact value of sin (7π/12)?
Answer:
0.9659
Step-by-step explanation:
sin 7π/12 = sin 105° = 0.9659
Answer:
The correct answer is sqr root of 6 + sqr root of 2 over/ 4. =)
Step-by-step explanation:
Chris won 17 baseball games of the 29 he played in. What percent of games did he win?
Answer: 17/29 As A Fraction! (58.6%)
Step-by-step explanation: Just Divide 17 (Amount Won) By Amount Played (29)
What is the M.A.D. (mean absolute deviation) of the following data set?
8 9 9 7 8 6 9 8
The mean absolute deviation is 0.75
How to determine the mean absolute deviationTo calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set
From the information given, we have that the data set is;
8 9 9 7 8 6 9 8
Let's calculate the mean, we get;
Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8
Mean = 64 / 8
Divide the values
Mean = 8
Let's determine the absolute difference, we get;
Absolute differences=
|8 - 8| = 0
|9 - 8| = 1
|9 - 8| = 1
|7 - 8| = 1
|8 - 8| = 0
|6 - 8| = 2
|9 - 8| = 1
|8 - 8| = 0
Find the mean of the absolute differences:
Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8
Absolute difference = 6 / 8 = 0.75
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A box has the shape of a rectangular prism with height 28 cm. If the height is increased by 0.2cm, by how much does the surface area of the box increase? L=13 W=8.7 H=28
The surface area of the box increases by 27.4 cm² when the height is increased by 0.2 cm.
To find the increase in surface area, we first need to calculate the initial surface area of the box and then calculate the surface area after increasing the height.
The formula for the surface area of a rectangular prism is given by:
Surface Area = 2*(length width + length height + width*height)
Initial Surface Area:
Length (L) = 13 cm
Width (W) = 8.7 cm
Height (H) = 28 cm
Initial Surface Area = 2*(138.7 + 1328 + 8.7*28)
Next, we calculate the new surface area after increasing the height by 0.2 cm. The new height is:
New Height = Initial Height + Increase in Height = 28 cm + 0.2 cm
New Surface Area = 2*(138.7 + 13(28+0.2) + 8.7*(28+0.2))
To find the increase in surface area, we subtract the initial surface area from the new surface area:
Increase in Surface Area = New Surface Area - Initial Surface Area
Let's calculate the values:
Initial Surface Area = 2*(138.7 + 1328 + 8.728) = 2(113.1 + 364 + 243.6) = 2*(720.7) = 1441.4 cm²
New Surface Area = 2*(138.7 + 13(28+0.2) + 8.7*(28+0.2)) = 2*(113.1 + 377.2 + 244.1) = 2*(734.4) = 1468.8 cm²
Increase in Surface Area = New Surface Area - Initial Surface Area = 1468.8 cm² - 1441.4 cm² = 27.4 cm²
Therefore, the surface area of the box increases by 27.4 cm² when the height is increased by 0.2 cm.
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Which of the following equations are equivalent? Select three options. 2 + x = 5 x + 1 = 4 9 + x = 6 x + (negative 4) = 7 Negative 5 + x = negative 2
The three equivalent equations are 2 + x = 5, x + 1 = 4 and -5 + x = -2. So, correct options are A, B and E.
Two equations are considered equivalent if they have the same solution set. In other words, if we solve both equations, we should get the same value for the variable.
To determine which of the given equations are equivalent, we need to solve them for x and see if they have the same solution.
Let's start with the first equation:
2 + x = 5
Subtract 2 from both sides:
x = 3
Now let's move on to the second equation:
x + 1 = 4
Subtract 1 from both sides:
x = 3
Notice that we got the same value of x for both equations, so they are equivalent.
Next, let's look at the third equation:
9 + x = 6
Subtract 9 from both sides:
x = -3
Since this value of x is different from the previous two equations, we can conclude that it is not equivalent to them.
Now, let's move on to the fourth equation:
x + (-4) = 7
Add 4 to both sides:
x = 11
This value of x is also different from the first two equations, so it is not equivalent to them.
Finally, let's look at the fifth equation:
-5 + x = -2
Add 5 to both sides:
x = 3
Notice that we got the same value of x as the first two equations, so this equation is also equivalent to them.
So, correct options are A, B and E.
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Complete question is:
Which of the following equations are equivalent? Select three options.
2 + x = 5
x + 1 = 4
9 + x = 6
x + (- 4) = 7
- 5 + x = - 2
express in simplest radical form
V24
Answer:
not understanding meaning of your question
Step-by-step explanation:
sooooooooooooorrrrrrrrrrrrrrrrrryy
y=x^2-2x+7
i need help finding the axis of symmetry,the domain, the y-intercept and x intercept
The axis of symmetry is at x = 1, the domain is (-∞, +∞), the y-intercept c is at 7 and x intercept is not applying .
Explain about the features of parabolic function?A parabolic function is one that satisfies the formula f(x) = ax2 + bx + c and, when represented graphically in two dimensions, has the shape of a parabola. Any quadratic equation with just a second degree in x is the equation for a parabolic function.
The following characteristics define a basic parabola:
The y-axis, a symmetry axis, is where it is symmetric.At the origin, marking the minimal turning point, y has its minimum value. It is sometimes referred to as the parabola's vertex.The parabola's arms are infinitely long.Thus, from the given graph the value are obtained as:
the axis of symmetry is at x = 1, the domain is (-∞, +∞), the y-intercept c is at 7 and x intercept is not applying .Know more about parabolic function
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Suppose that a leatherback turtle swam 7.5 kilometers in 3 hours at a constant speed. At this rate, how long would it take the turtle to swim 10 kilometers ? How many kilometers per hour did the turtle swim? Explain
Answer: It would take the turtle a total of 4 hours to swim 10 kilometers
Step-by-step explanation:
3 × 10 = 30
30 ÷ 7.5 = 4
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Select the correct answer.
Auroras are lights that appear at Earth's northern and souther
cause of an aurora?
Answer:
Bottom line: When charged particles from the sun strike atoms in Earth's atmosphere, they cause electrons in the atoms to move to a higher-energy state. When the electrons drop back to a lower energy state, they release a photon: light. This process creates the beautiful aurora, or northern lights.
Step-by-step explanation:
Bottom line: When charged particles from the sun strike atoms in Earth's atmosphere, they cause electrons in the atoms to move to a higher-energy state. When the electrons drop back to a lower energy state, they release a photon: light. This process creates the beautiful aurora, or northern lights.
Which point is located at 2 7/10?
Answer:
C
there are 10 spaces in between 2 and 3, so you just count up to it
Please help me in this questions in geometry. Take your time.
The lengths of the segments in the drawing, obtained using Thales Theorem are;
1) [AD] = 33.5 cm
2) a) OM ║ AB, therefore, OMAB is a trapezium
b) Thales Theorem indicates that point L is the midpoint of [DE]
c) Rectangle
3) JO ║ IL and IJ ║ OL, therefore, IJOL is a parallelogram
b) [JA] ≅ [AI], therefore; {OD] ≅ [DF] and point D is the midpoint of [OF]
IF = 5.25 cm
5) 1) the point C, which is the point of intersection of the medians is the center of gravity of BJD
2) The parallel sides of the parallelogram ABCD, and Thales Theorem indicates that M and N are the midpoints [BJ], and [DI]
Thales Theorem indicates that MN = DI = IB
What is Thales Theorem?Thales Theorem states that a line drawn parallel to one side of a triangle such that it intersects the other two sides, then the line divides the other two sides of the triangle in the same proportion.
1) The the diagonals of a rectangle bisect each other, therefore;
The length of [AD] = Length of [AB] = BE/2
The length of [AD] = 7 cm/2 = 3.5 cm
2) a) Whereby the point M is the midpoint of [AD], then according to the midsegment theorem, [OM] is parallel to [AB], therefore; OMAB is a trapezium, by the definition of a trapezium
b) Whereby [OM] is parallel to [AB], we get;
[OM] is parallel to [BE], therefore;
[OL] is parallel to [DE]
According to the triangle proportionality theorem, which is also known as Thales Theorem, the segment [OL] that divides [BD] in two also divides DE in two, therefore, point L is the midpoint of [DE].
c) Whereby the points A and L are the midpoints of [BE] and [DE], and the point O is the midpoint of [BD], we get;
[AO] is parallel to [DL], and [AL] is parallel to [OD]
[DL] is perpendicular to [BD], by definition of rectangle HBDE, therefore, [AO] is perpendicular to [BD]
Similarly, [AL] is perpendicular to [DE], and the quadrilateral ALDO is a rectangle
3) a) [OL] is parallel to [IJ]
The midsegment theorem indicates that AD is parallel to JO and segment AD is parallel to IL, therefore;
JO is parallel to IL and IJOL is a parallelogram
b) Whereby BD is extended to the point F, and IL cuts BD in F, we get;
JO, AD, and IF cut segment OAI into parts JA and AI of the same length, therefore;
JO, AD, and IF cut segment ODF into parts OD, and DF of the same lengths, therefore, point D is the midpoint of OF
AB = AD = 3.5
FA = 3.5/2 = 1.75
BF = 3.5 + 1.75 = 5.25
IF/5.25 = 3.5/3.5
Therefore, IF = 5.25 cm
5) The center of gravity of a triangle is the point of intersection of the three medians of the triangle
Whereby point J is the symmetric of A with respect to C, we get;
AC = CJ
The parallel sides BA and CD, and the midsegment theorem indicates;
BM = MJ, therefore;
Point M is the midpoint of BJ, and DM is a median of the triangle BJD
Similarly, BN is a median of the triangle BJD
The diagonals of a parallelogram bisect each other, therefore, the point of intersection of the diagonals, I is the midpoint of BD, and JI is a median of the triangle BJD, therefore, the point C is the center of gravity of the triangle BJD
2) The segments AC and CJ are congruent, and the segments CD and BA are parallel. According to the triangle proportionality theorem, segment BM is congruent to segment MJ, and the point M is the midpoint of BJ
Similarly, BC is parallel to AD, therefore, DN is congruent to NJ, and the point N is the midpoint of DJ
The Thales Theorem or midsegment theorem indicates MN = (1/2) × BD, therefore;
MN = DI = BD
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Aircraft A has 105 more seats than aircraft B. If their total number of seats is 519, find the number of seats for each aircraft.
Aircraft A has how many seats?
Aircraft A has 312 seats.
Let's assume that Aircraft B has x seats.
According to the given information, Aircraft A has 105 more seats than Aircraft B. So, the number of seats in Aircraft A can be expressed as x + 105.
The total number of seats in both aircraft is 519, which can be represented by the equation:
x + (x + 105) = 519
Simplifying this equation, we have:
2x + 105 = 519
Subtracting 105 from both sides, we get:
2x = 414
Dividing both sides by 2, we find:
x = 207
Therefore, Aircraft B has 207 seats.
To find the number of seats in Aircraft A, we substitute the value of x back into the expression x + 105:
Aircraft A = 207 + 105 = 312
Hence, Aircraft A has 312 seats.
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Find the perimeter of the triangle whose vertices are (−4,3), (−4,1), and (−5,−4). Write the exact answer. Do not round.
Answer:
2 + √[26] + √[50]
Step-by-step explanation:
To find the perimeter of a triangle with vertices given in the coordinate plane, we need to calculate the distance between each pair of vertices and then add them up.
Using the distance formula, the distance between the first two vertices is:
√[(x2 - x1)^2 + (y2 - y1)^2] =
√[(-4 - (-4))^2 + (1 - 3)^2] =
√[0 + 4] = 2
The distance between the second and third vertices is:
√[(x2 - x1)^2 + (y2 - y1)^2] =
√[(-5 - (-4))^2 + (-4 - 1)^2] =
√[1 + 25] = √[26]
Finally, the distance between the third and first vertices is:
√[(x2 - x1)^2 + (y2 - y1)^2] =
√[(-4 - (-5))^2 + (3 - (-4))^2] =
√[1 + 49] = √[50]
Therefore, the perimeter of the triangle is:
2 + √[26] + √[50]
This is the exact answer, and we cannot simplify it further.
Two cars leave the same point at the same time travelling in opposite directions. one car travels west at 20 mph and the other travels east at 60 mph. In how many hours will they be 280 miles apart?
It will take 3.5 hours for the two cars to be 280 miles apart.
To determine the time it takes for the two cars to be 280 miles apart, we can use the concept of relative velocity.
Since the cars are traveling in opposite directions, their velocities can be added together to find their relative velocity:
Relative velocity = Velocity of car traveling east + Velocity of car traveling west
Relative velocity = 60 mph + 20 mph
Relative velocity = 80 mph
The relative velocity of the cars is 80 mph, which means that they are moving away from each other at a combined speed of 80 mph.
To find the time it takes for them to be 280 miles apart, we can use the formula:
Time = Distance / Speed
Plugging in the values, we have:
Time = 280 miles / 80 mph
Time = 3.5 hours
Therefore, it will take 3.5 hours for the two cars to be 280 miles apart.
During this time, the car traveling east would have covered a distance of 60 mph × 3.5 hours = 210 miles, while the car traveling west would have covered a distance of 20 mph × 3.5 hours = 70 miles.
The sum of these distances is indeed 280 miles, confirming the result.
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Write an expression to represent: 9 more than the quotient of 2 and x
Expression for given numerical is: 9+ (2/x)
Given that we have an word equation that is 9 more than the quotient of 2 and x
A quotient is a quantity produced by the division of two numbers.
Quotient of 2 and x is \(\frac{2}{x}\).
Nine(9) more than 2/x is = 9+ (2/x)
So we have an expression that is:
9+ (2/x)
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Help please!!! I don’t understand this question
Answer:
B) ASA - angle side angle
Hope it help
what is midpoint if tu =4× and uv =X +9
Answer:
12Step-by-step explanation:
Given
TU = 4xUV = x + 9Finding the value of x
TU = UV4x = x+93x = 9x = 3Midpoint = 4x = 4*3 = 12