The midpoint formula and distance formula can be used to find the coordinates of the midpoints of line segments RR' and SS' and the lengths of these segments. Then an equation involving these lengths can be set up and solved for m which is equal to 5.
Given a trapezoid PQRS and its image P'Q'R'S' after a reflection across Line W Y, the line of reflection.
We are also given that line segment R R prime has a midpoint at point Z and that line segment S S prime has a midpoint at point X.
We need to find the value of m. We can use the midpoint formula to find the coordinates of the midpoints Z and X.
Using the coordinates of P, Q, R, S, and the line of reflection WY, we can find the coordinates of the reflected image P', Q', R', and S'.
Now we can find the length of line segments RR' and SS' using the distance formula. Then we can set up an equation involving the length of line segments RR' and SS' and solve for m. Thus, m=5.
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8 Solve for C. 16 17 C= [?]° Measure of Angle C Round your final answer to the nearest tenth. Law of Cosines: c²= a'+ b² - 2ab•cosC Enter
Answer:
To solve for C, we would need to know the length of side c. Without that information, we cannot determine the value of angle C.
Step-by-step explanation:
Using this assumption, we can rewrite the equation as:
c² = 16² + 17² - 2(16)(17)·cos(C)
c² = 256 + 289 - 544·cos(C)
c² = 545 - 544·cos(C)
Answer:
C = 83.0°
Step-by-step explanation:
This triangle has three sides, with lengths of 8 units, 16 units, and 17 units. The angle formed between the sides measuring 8 units and 16 units is angle C. Angle C is opposite the side measuring 17 units.
To find the measure of angle C, we can use the Law of Cosines.
[tex]\boxed{\begin{array}{l}\underline{\textsf{Law of Cosines}}\\\\c^2=a^2+b^2-2ab \cos C\\\\\textsf{where $a, b$ and $c$ are the sides,}\\\textsf{and $C$ is the angle opposite side $c$.}\\\end{array}}[/tex]
In this case:
a = 8b = 16c = 17C = CSubstitute the values of a, b, and c into the formula, and solve for C:
[tex]\begin{aligned}c^2&=a^2+b^2-2ab\cos C\\\\17^2&=8^2+16^2-2(8)(16)\cos C\\\\289&=64+256-256\cos C\\\\289&=320-256\cos C\\\\289-320&=320-256\cos C-320\\\\-31&=-256\cos C\\\\\dfrac{-31}{-256}&=\dfrac{-256\cos C}{-256}\\\\\dfrac{31}{256}&=\cos C\\\\\cos C&=\dfrac{31}{256}\\\\C&=\cos^{-1}\left(\dfrac{31}{256}\right)\\\\C&=83.04476981...^{\circ}\\\\C&=83.0^{\circ}\; \sf (nearest\;tenth)\end{aligned}[/tex]
Therefore, the measure of angle C, rounded to the nearest tenth, is:
[tex]\Large\boxed{\boxed{C=83.0^{\circ}}}[/tex]
A Food Marketing Institute found that 28% of households spend more than $125 a week on groceries. Assume
the population proportion is 0.28 and a simple random sample of 273 households is selected from the
population. What is the probability that the sample proportion of households spending more than $125 a week
is less than 0.27?
There is a
probability that the sample proportion of households spending more than $125 a week is
less than 0.27. Round the answer to 4 decimal places.
The probability that the sample proportion of households spending more than $125 a week is less than 0.27 is approximately 0.35.
To find the probability that the sample proportion of households spending more than $125 a week is less than 0.27, we can use the sampling distribution of sample proportions and the Central Limit Theorem.
Given:
Population proportion (p) = 0.28
Sample size (n) = 273
First, we need to calculate the standard deviation of the sampling distribution, which is known as the standard error. The formula for the standard error is:
Standard Error = sqrt((p * (1 - p)) / n)
Substituting the given values:
Standard Error = sqrt((0.28 * (1 - 0.28)) / 273)
Standard Error ≈ 0.0258
Next, we can standardize the sample proportion using the formula:
Z = (sample proportion - population proportion) / standard error
Z = (0.27 - 0.28) / 0.0258
Z ≈ -0.3886
Now, we need to find the probability that the sample proportion is less than 0.27. This is equivalent to finding the area under the standard normal distribution curve to the left of Z = -0.3886. We can use a standard normal distribution table or a statistical software to find this probability.
The probability can be rounded to 4 decimal places:
Probability = 0.35 (approximately)
Therefore, the probability that the sample proportion of households spending more than $125 a week is less than 0.27 is approximately 0.35.
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True or false.
_____1. A solid figure is a 3- dimensional figure.It has Length,Width, and height.
Answer:
1. True
Explanation:
In geometry, a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions— length, width, and height.
Help me please will mark brainliest
Answer:
b c and d
Step-by-step explanation:
if not let me know
How does the multiplicity of a zero affect the graph of the polynomial function? Select answers from the drop-down menus to correctly complete the statements. The zeros of a seventh degree polynomial function are 1, 2 (multiplicity of 3), 4, and 6 (multiplicity of 2). The graph of the function will cross through the x-axis at 1 only . The graph will only touch (be tangent to) the x-axis at Choose... . At the zero of 2, the graph of the function will Choose... the x-axis.
Answer:
Step-by-step ex-plane
The zeros of a polynomial function can be used to determine how the graph behaves at those points. The multiplicity of a zero also plays an important role in shaping the graph of a polynomial function.
The graph of the seventh degree polynomial function with zeros 1, 2 (multiplicity of 3), 4, and 6 (multiplicity of 2) will cross the x-axis at 1 only. This is because the zero at 1 has a multiplicity of 1.
The graph will only touch (be tangent to) the x-axis at 2. This is because the zero at 2 has a multiplicity of 3.
At the zero of 2, the graph of the function will flatten out against the x-axis.
Therefore, the correct answers are:
- The graph of the function will cross through the x-axis at 1 only.
- The graph will only touch (be tangent to) the x-axis at 2.
- At the zero of 2, the graph of the function will flatten out against the x-axis.
Please Solve, Thank you!
Answer:
1
Step-by-step explanation:
Determine the average rate of change over [0,3]:
[tex]\frac{f(b)-f(a)}{b-a}=\frac{f(3)-f(0)}{3-0}=\frac{13-16}{3}=\frac{-3}{3}=-1[/tex]
Therefore, 1 gallon per day is being consumed (this is explained by the -1 from earlier).
if the word AFGANISTAN represented 02034560 by code
1. what code is represented by the word AFGAN?
The code represented by the word "AFGAN" would be "02034."
How to determine the code represented by the word "AFGAN"To find the code represented by the word "AFGAN," we need to refer to the given code representation of the word "AFGANISTAN," which is "02034560."
From the given code, we can determine that the letters "AFGAN" correspond to the first five digits of the code.
Therefore, the code represented by the word "AFGAN" would be "02034."
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Joseph finished 2/5th of his work. What percentage of work did he complete?
40%
50%
60%
20%
Joseph finished 2/5th of his work. What percentage of work did he complete?
40% ✓ 2/5 x 100 = 40%50%
60%
20%
A parent function and transformed function are shown: y = RootIndex 3 StartRoot x EndRoot. y = negative (0.4) RootIndex 3 StartRoot x minus 2 EndRoot Which of the following describes the graph of the transformed function compared with the parent function? Select all that apply. reflected over the x-axis translated 2 units left translated 2 units right compressed by a factor of 0.4 stretched by a factor of 0.4 translated 2 units up translated 2 units down
Answer: The transformed function is y = -0.4√(x - 2).
Step-by-step explanation:
From the given equation, we can identify the following transformations:
Reflected over the x-axis: The negative sign in front of the function (-0.4) indicates a reflection over the x-axis.
Translated 2 units left: The "-2" inside the square root indicates a translation of 2 units to the right.
Compressed by a factor of 0.4: The coefficient "0.4" in front of the square root indicates a vertical compression by a factor of 0.4.
Translated 2 units down: There is no direct indication of a vertical translation in the equation, so this transformation is not applicable.
Therefore, the correct descriptions of the graph of the transformed function compared with the parent function are:
Reflected over the x-axis
Translated 2 units right
Compressed by a factor of 0.4
Right triangle LMN has vertices L(7, –3), M(7, –8), and
N(10, –8). The triangle is translated on the coordinate plane so the coordinates of L’ are (–1, 8).
In this case we have a translation of 8 units to the left and 11 units upwards.
How to find the translation?To find the translation, we just need to compare the two known vertices before and after the translation.
If we have a translation of a units in the x-axis and b units in the y-axis, we will get:
T(a, b)L ---> L'
We know that L = (7, -3) and L' = (-1, 8)
Then we can write:
(7 + a, -3 + b) = (-1, 8)
Then we have two equations:
7 + a = -1 ---> a = -1 - 7 = -8
-3 + b = 8 ---> b = 8 + 3 = 11
Then we have a translation of 8 units to the left and 11 units up-.
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Complete question:
"Right triangle LMN has vertices L(7, –3), M(7, –8), and
N(10, –8). The triangle is translated on the coordinate plane so the coordinates of L’ are (–1, 8).
Find the translation done"
IMPORTANT! HELP!
Find the angles of intersection between the curves f(x)=x^2 and g(x)=[tex]\sqrt{x}[/tex]
Answer:
To find the angles of intersection between the curves f(x) = x^2 and g(x) = |x|, we need to find the points where the two curves intersect.
Substituting g(x) into f(x), we get:
x^2 = |x|
To solve this equation, we need to consider two cases:
Case 1: x ≥ 0
In this case, the equation simplifies to:
x^2 = x
Solving for x, we get:
x(x - 1) = 0
So x = 0 or x = 1.
Case 2: x < 0
In this case, the equation simplifies to:
x^2 = -x
Solving for x, we get:
x(x + 1) = 0
So x = 0 or x = -1.
Therefore, the points of intersection between the two curves are (-1, 1), (0, 0), and (1, 1).
To find the angles of intersection, we need to find the slopes of the two curves at each point of intersection.
At (0, 0), the slopes of both curves are 0.
At (-1, 1) and (1, 1), the slope of f(x) = x^2 is 2x, and the slope of g(x) = |x| changes direction at x = 0, so we need to consider the left and right limits separately:
At x = -1, the slope of g(x) = -1, and at x = 1, the slope of g(x) = 1.
Therefore, the angles of intersection between the two curves are:
- At (0, 0), the two curves are tangent and intersect at a right angle.
- At (-1, 1) and (1, 1), the two curves intersect at acute angles.
The counting number just before C5F sixteen is
the counting number just before C5F16 is 3,072.
Solve How many four-digit numbers can be formed using the numbers 2, 3, 4, 5 and 6. If the first and last digit must be even numbers and repetition is not allowed?
There are 48 four-digit numbers that can be formed using the numbers 2, 3, 4, 5, and 6, where the first and last digits must be even numbers and repetition is not allowed.
1. Since repetition is not allowed, we need to determine the number of choices for each digit.
2. The first digit must be an even number. There are 2 even numbers available: 2 and 4.
3. The last digit must also be an even number. There are 2 even numbers available: 2 and 4.
4. For the second digit, any of the remaining 3 numbers can be chosen (3, 5, or 6).
5. For the third digit, any of the remaining 2 numbers can be chosen (the two numbers not used in step 4).
6. To find the total number of four-digit numbers, we multiply the number of choices for each digit: 2 (choices for the first digit) * 3 (choices for the second digit) * 2 (choices for the third digit) * 2 (choices for the last digit) = 48.
7. Therefore, there are 48 four-digit numbers that can be formed using the numbers 2, 3, 4, 5, and 6, where the first and last digits must be even numbers and repetition is not allowed.
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Question 5 of 10
What is the location of the point on the number line that is of the way from
A = 31 to B=6?
OA. 21
B. 16
OC. 11
OD. 19
4
Answer:
Step-by-step explanation:
To find the location of the point that is of the way from A=31 to B=6, we need to find the midpoint of the segment AB.
The formula for finding the midpoint of a segment with endpoints (x₁, y₁) and (x₂, y₂) is:
Midpoint = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)
In this case, we have A = 31 and B = 6, so x₁ = 31 and x₂ = 6. Plugging these values into the formula, we get:
Midpoint = ((31 + 6) / 2, (y₁ + y₂) / 2)
Midpoint = (37/2, (y₁ + y₂) / 2)
We still need to find y₁ and y₂, which are the positions of A and B on the number line. Since the number line is one-dimensional, we can simply use their values:
y₁ = 31
y₂ = 6
Plugging these values into the formula, we get:
Midpoint = (37/2, (31 + 6) / 2)
Midpoint = (37/2, 37/2)
Therefore, the location of the point on the number line that is of the way from A=31 to B=6 is at a distance of 37/2 units from point A and also at a distance of 37/2 units from point B. So, the midpoint of AB is located at the point (37/2, 0).
However, since the question only asks for the location of the point on the number line, we only need to consider the x-coordinate of the midpoint, which is 37/2. This point is on the number line, which means that it is a real number. Therefore, the answer is option (A) 21.
how do I solve 16° 25'?
Answer:
Step-by-step explanation:
easily find on chrome
Which of the following expressions is equivalent to 2ˣ⁺³
Answer:
Expert-Verified Answer the equivalent expression to 3^(x + 2) is 9*3^x, which is the last option.
Missing: 2ˣ ⁺
Step-by-step explanation:
hope it helps
tan(x-1) ( sin2x-2cos2x) = 2(1-2sinxcosx)
The equation is proved.
G[tex]`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`[/tex]
We need to prove the given equation. Solution: Using the identity [tex]`sin2x=2sinxcosx` and `cos2x=1-2sin^2x`[/tex]
in the given equation, we get
[tex]`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`⟹ `tan(x-1)(2sinxcosx-2(1-[/tex]
[tex]2sin^2x))=2(1-2sinxcosx)`⟹ `tan(x-1)(4sin^2x-2)=2-4sinxcosx`⟹ `2sin(x-1)[/tex]
[tex](2sin^2x-1)=2(1-2sinxcosx)`⟹ `2sin(x-1)(2sin^2x-1)=2(1-2sinxcosx)`⟹[/tex]
[tex]`2sinxcos(x-1)(4sin^2x-2)=2(1-2sinxcosx)`⟹ `2sinxcos(x-1)(2sin^2x-1)=1-[/tex]
[tex]sinxcosx`⟹ `2sinxcos(x-1)(2sin^2x-1)=sin^2x+cos^2x-sinxcosx`⟹[/tex]
`[tex]2sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2/2`[/tex]
For `LHS`, using identity
[tex]`sin(90 - x) = cosx`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-sin(91-x))^2/2`⟹[/tex]
[tex]`sinxcos(x-1)(2sin^2x-1)=(-sin(x-1))^2/2`⟹ `sinxcos(x-1)(2sin^2x-1)=sin^2(x-[/tex]
[tex]1)/2`⟹ `sinxcos(x-1)(4sin^2x-2)=sin^2(x-1)`⟹ `sinxcos(x-1)(2sin^2x-1)=1/2`⟹ `1/2=1/2`.[/tex]
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Explain the steps involved in adding two rational expressions.
When adding two rational expressions, follow these steps.
The steps to be followed1. Determine the least common denominator (LCD) of the two expressions. This is the smallest expression that both denominators can divide into evenly.
2. Multiply each term in both expressions by the necessary factors to make the denominators equal to the LCD.
3. Simplify each numerator if possible by combining like terms.
4. Add or subtract the numerators together. The denominators remain the same.
5. Simplify the resulting expression, if necessary, by factoring and canceling common factors in the numerator and denominator.
6. If required, express the final result in its simplest form by dividing out any common factors between the numerator and denominator.
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There are 40 boys and 30 girls in a class. Find the percentage of girls in the class.
42.86%
41.37%
43.15%
75%
41.37%
43.15%
75%
What is the product?
2y 4y-12
y-3 2y+6
O
2
3
10
9
4y
y-3
4y
Oy+3
PLEASE HELP, WILL GIVE BRAINLIEST
Which is the best definition of phi?
Phi is the value of the golden spiral.
Phi is a single value in the Fibonacci sequence.
Phi is the length of the golden rectangle.
Phi is the value of the golden ratio.
The best definition of phi is:
Phi is the value of the golden ratio.What is The Golden Ratio?golden ratio, also known as the golden section, golden mean, or divine proportion, in mathematics, the irrational number (1 + Square root of√5)/2, often denoted by the Greek letter ϕ or, which is approximately equal to 1.618.
Phi = 1/phi Phi = 1 + phi The latter facts together give the definition of the golden ratio: x = 1/x + 1 This equation (equivalent to x^2 - x - 1 = 0) is satisfied by both Phi and -phi, which therefore can be called the _golden ratios_.
Hence, Phi is the value of the golden ratio which is the best definition of phi.
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Select the correct answer.
Answer:
B. 0
Step-by-step explanation:
The answer would be y=0, and it is not undefined. Undefined lines go up and down.
3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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Read the passage.
Before heading to the concert in the city, Parvati and I
ducked into a nearby bodega. It was empty, except for
one or two customers. We walked around for a bit
before deciding on granola bars and bottled water. After
we paid for our items, we took the subway downtown.
Mark this and return
Which clues from the text are most helpful for
determining the meaning of bodega? Select three
options.
"heading to the concert"
O"one or two customers"
Ogranola bars and bottled water"
O'paid for our items"
"took the subway downtown"
These three clues together provide a clear indication that a bodega refers to a small retail store.
The clues from the text that are most helpful for determining the meaning of "bodega" are:
1. "It was empty, except for one or two customers."
The presence of customers in the bodega indicates that it is a place where people can go to purchase items. The fact that there are only one or two customers suggests that it is a small establishment.
2. "We walked around for a bit before deciding on granola bars and bottled water."
This clue indicates that the bodega sells food items like granola bars and bottled water. This suggests that it is a convenience store or a small grocery store where one can find basic food and drink items.
3. "After we paid for our items..."
The mention of paying for items further reinforces the idea that the bodega is a retail establishment where goods are sold.
These three clues together provide a clear indication that a bodega refers to a small retail store, often found in urban areas, that sells a variety of items, including food and drinks. It is typically smaller in size compared to larger grocery stores and may offer convenience items for customers who are on the go, like Parvati and the narrator who were preparing for their trip to the concert.
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Which statements apply to the expression (three-fifths) cubed? Check all that apply.
The base is Three-fifths.
The base is 3.
The exponent is 3.
The expanded form is Three-fifths times three-fifths times three-fifths.
The expanded form is StartFraction 3 times 3 times 3 Over 5 EndFraction.
(Three-fifths) cubed = StartFraction 9 Over 15 EndFraction
The true statements are:
below in bold
Work/explanation:
The statements which apply to the given scenario are the following:
The base is Three-fifths.
The expanded form is three-fifths times three-fifths times three-fifths.
The exponent is 3.
Let's take a closer look at the expression [tex]\sf{\bigg(\dfrac{3}{5}\bigg)^3}[/tex].
What is the base and what is the exponent?
Think of the expression [tex]\sf{x^n}[/tex]. Here, x is the base, and n is the exponent.
Similarly, with our exercise here, 3/5 is the base and 3 is the exponent.
[tex]\rule{350}{4}[/tex]
Now, what is the expanded form of the expression? If we have something cubed, what does it mean?
It means that this something is multiplied by itself 3 times.
So the expanded form is three-fifths times three-fifths times three-fifths.
Finally, when we raise a fraction to a power, we raise both the numerator and the denominator to that power.
Question 1 of 10
What is a name for the angle below? Do not include the angle symbol in your answer
Answer:
XYZThe name of angle below is XYZ
please help stuck on this for 30 minutes
Answer:
look at attachment
Step-by-step explanation:
CAN A GIRL ANSWER THIS? I WILL GIVE BRAINLIEST
In class, I silently passed gas and a girl on the other side of the classroom named Nyla eventually smelled it. She complained to the teacher that someone passed gas, but didn't know who. Another girl, named Lia, accused me of doing it cause i was laughing and she had a mean smirk on her face.
4 questions:
1. Why did she have a mean smirk when accusing me?
2. Why did she accuse me?
3. Why did Nyla look at me after being accused but didn't laugh
4. Why did Ms. Nee (the teacher) tell me to move after I was accused
1) It's possible that Lia had a mean smirk because she found the situation amusing or thought it was funny to accuse someone.
2) Lia might have accused you based on the assumption that you were laughing
3) Nyla might have looked at you out of curiosity or suspicion, wanting to see your reaction to the accusation.
4) Ms. Nee might have asked you to move in an attempt to diffuse the situation or prevent any further disruptions.
How do we analyze the situation?Lia could have been amused by the event or thought it was hilarious to blame someone, hence her cruel smirk. Another possibility is that she made the charge because she was upset with you personally and wanted to humiliate or degrade you.
Lia could have charged you if she thought you were laughing, which she took to be an admission of guilt. Additionally, she might have been looking for someone to point the finger at and chose you as the victim of choice without any solid proof.
Nyla may have glanced your way to see how you would respond to the charge out of curiosity or suspicion. Her lack of laughter could indicate that she wasn't sure about your involvement or that she simply didn't find the situation amusing.
Everyone present may find it distracting and uncomfortable when jokes and accusations are made in the classroom. Ms. Nee might have asked you to relocate in an effort to bring back some sense of calm and concentration in the classroom.
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ABCD is a kite, if RA=20yds and BD=44yds find AB
Answer:
Step-by-step explanation:
In a kite, the diagonals intersect at right angles, and the longer diagonal is the perpendicular bisector of the shorter diagonal. In this case, we have BD as the longer diagonal and RA as the shorter diagonal.
Given that BD is 44 yards and RA is 20 yards, we can determine the length of AB by using the properties of a kite.
The length of AB can be found by applying the Pythagorean theorem to the right triangle formed by AB, BD, and the segment of the longer diagonal perpendicular to the shorter diagonal.
Using the Pythagorean theorem, we have:
AB^2 = BD^2 - RA^2
AB^2 = 44^2 - 20^2
AB^2 = 1936 - 400
AB^2 = 1536
Taking the square root of both sides:
AB = √1536
Simplifying the square root:
AB ≈ 39.19
Therefore, AB is approximately 39.19 yards.
What is the length of EF in the right triangle below?
D
26
10
E
F
The measure of side length EF in the right triangle is 24.
What is the measure of side length EF?The Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.
It is expressed as;
c² = a² + b²
From the diagram:
Hypotenuse DE = c = 26
Leg DF = a = 10
Leg EF = b = ?
Plug in the values and solve for b:
c² = a² + b²
26² = 10² + b²
676 = 100 + b²
b² = 676 - 100
b² = 576
b = +√576 ( we take the positive value since we are dealing with dimensions)
b = 24
Therefore, the length EF is 24.
Option C)24 is the correct answer.
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