Answer:
the answer is option B
Step-by-step explanation:
The temperature in Miami, Florida is 22 degrees warmer than three times the temperature in Bangor, Maine. The temperature in Miami is 82 degrees. Write an equation to determine the temperature in Bangor.
Answer:
See Explanation
Step-by-step explanation:
Let the temperatures of Miami and Bangor be M and B degrees respectively.
According to the given information:
M = 3B + 22... (required equation)
Plug M = 82
82 = 3B + 22
82 - 22 = 3B
60 = 3B
B = 60/3
B = 20 degrees
Thus, the temperature in Bangor is 20 degrees.
The required temperature in Bangor is 52 degrees and the required equation is 82 = 3B + - 22.
Given that,
The temperature in Miami, Florida is 22 degrees warmer than three times the temperature in Bangor, Maine.
The temperature in Miami is 82 degrees.
An equation to determine the temperature in Bangor is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
Let the temperature in Bangor be B
The temperature in Miami is 82 degrees.
The temperature in Miami, Florida is 22 degrees warmer than three times the temperature in Bangor. Implies,
82 = 3B + - 22
3B = 82 + 22
3B = 104
B = 52 degrees
Thus, the required temperature in Bangor is 52 degrees.
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convert into second 28' 40"
What is the y-intercept of the line describe by the equation below? Y=5x-22
Answer:
The y intercept is (0,-22)
Step-by-step explanation:
The y intercept is the value when x =0
Y=5x-22
y = 5*0 -22
y = -22
The y intercept is (0,-22)
The probability that a certain hockey team will win any given game is 0.3773 based on their 13 year win history of 389 wins out of 1031 games played (as of a certain date). Their schedule for November contains 12 games. Let X = number of games won in November.
Find the probability that the hockey team wins at least 3 games in November. (Round your answer to four decimal places.)
Answer:
0.8895 = 88.95% probability that the hockey team wins at least 3 games in November.
Step-by-step explanation:
For each game, there are only two possible outcomes. Either the teams wins, or they do not win. The probability of the team winning a game is independent of any other game, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
And p is the probability of X happening.
The probability that a certain hockey team will win any given game is 0.3773.
This means that \(p = 0.3773\)
Their schedule for November contains 12 games.
This means that \(n = 12\)
Find the probability that the hockey team wins at least 3 games in November.
This is:
\(P(X \geq 3) = 1 - P(X < 3)\)
In which:
\(P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)\)
So
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 0) = C_{12,0}.(0.3773)^{0}.(0.6227)^{12} = 0.0034\)
\(P(X = 1) = C_{12,1}.(0.3773)^{1}.(0.6227)^{11} = 0.0247\)
\(P(X = 2) = C_{12,2}.(0.3773)^{2}.(0.6227)^{10} = 0.0824\)
Then
\(P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0034 + 0.0247 + 0.0824 = 0.1105\)
\(P(X \geq 3) = 1 - P(X < 3) = 1 - 0.1105 = 0.8895\)
0.8895 = 88.95% probability that the hockey team wins at least 3 games in November.
Find the midpoint of the segment with the given endpoints. G(5, –4) and H(11, 0)
\(~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ G(\stackrel{x_1}{5}~,~\stackrel{y_1}{-4})\qquad H(\stackrel{x_2}{11}~,~\stackrel{y_2}{0}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 11 +5}{2}~~~ ,~~~ \cfrac{ 0 -4}{2} \right) \implies \left(\cfrac{ 16 }{2}~~~ ,~~~ \cfrac{ -4 }{2} \right)\implies (8~~,~~-2)\)
find the statement that is incorrect. Then, correct and rewrite the statement in the space provided. Show any necessary work.
The incorrect statement is
The transformation can be represented by (7/3x, 7/3y)What is Dilation in Transformation?In mathematics, dilation can be defined as a transformation which alters the size of an object, though its shape remains unchanged. It is described as a specific similarity transformation where all dimensions associated with the given object (i.e. height, width and length) are increased or decreased uniformly by a particular scale factor.
A dilation thus produces an alteration in size, with the figure being either magnified or diminished while keeping its unique shape intact.
The scale factor used in the dilation is 9/7 instead of 7/3.
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A snowboard shop charges $10, plus an additional #3 per hour to rent a snowboard. Write the equation for the line in slope-intercept form.
HURRY HELP PLS!!
Answer:
y = 3x + 10
Step-by-step explanation:
Answer:
im pretty sure it is (0,5) or (10,0)
Step-by-step explanation:
The polynomial f(x) is written in factored form:
f(x) = (x - 6)(x + 5)(x - 9)
What are the zeros of the polynomial function?
O x = 6, x = -5, X = 9
O x = 6, X = 5, X = 9
Ox= -6, X = 5, x = -9
Ox= -6, X = 6, X = -5, x= 5, X = -9, x = 9
15points please help
Answer:The zeros are 6, -5, 9
Step-by-step explanation:
The zeros of the polynomial function are x = 6, x = -5, and x = 9. The correct option is A.
What are polynomials?In mathematics, a polynomial is an expression that solely uses the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables. It is made up of coefficients and indeterminates.
The zeros of the polynomial function are the values of x that make f(x) equal to zero.
The polynomial f(x) is written in factored form as:
f(x) = (x - 6)(x + 5)(x - 9)
The zeros of the polynomial are the values of x that make any of the factors equal to zero. Therefore, the zeros are:
x - 6 = 0, which gives x = 6
x + 5 = 0, which gives x = -5
x - 9 = 0, which gives x = 9
Thus, the zeros of the polynomial function are x = 6, x = -5, and x = 9.
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NKST G04.02 - Angle Bisectors.pdf K Abrir con Annotate with Kami Given BD is an angle bisector. Find x and the measure of the angle. C 7. D 9. 11. (x - 2990 25 54° A B B x = m2 ABC = m2 ABD = m2 CBD = 13. D 15. 17. 35 B (2x + 15) (3x + 36" (10x + 4)" (130+ 2.500 B A 5 X = m ABC = m2 ABD = m ABC = Panin
Due to BD is an angle bisector, you have that ∠ADB and ∠DBC are equal.
Then, you have:
7).
m∠ADB = m∠DBC replace by the expressions given in the figure
54 = x - 29 add 29 both sides
54 + 29 = x
83 = x
x = 83
Hence, x is x = 83
9).
3x + 4 = 25 subtract 4 both sides
3x = 25 - 4
3x = 21 divide by 3 both sides
x = 21/3
x = 7
Hence, x is x = 7
Please with a cherry on top help me solve this. I don’t understand, I will give you brainliest. Very appreciate.
Answer:
P = 2l + 2w
Step-by-step explanation:
Simplify on both sides, then move P to itself.
P-2w / 2 = l
*2. *2
P-2w=2l
+2w +2w
P=2l + 2w
HELP! Which input-output tables represent a function? Select ALL correct answers.
The input-output tables represent a function that will be table C and table D.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
If the value of the output is single for each distinct value of the input. Then the table represents the function.
In option A, the number of outputs is 2 for a single value of the input that is x = 1. So, it does not represent a function.
In option B, the number of outputs is 2 for a single value of the input that is x = 5. So, it does not represent a function.
In option E, the number of outputs is 2 for a single value of the input that is x = 1. So, it does not represent a function.
The input-output tables represent a function that will be table C and table D.
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The probability that a student passes the AP Stats exam is 0.57. The probability that a student passes the AP
Calculus exam is 0.43. The probability that a student passes the AP Stats exam given they passed the AP Calculus
exam is 0.85. Find the probability that a student passes both exams.
O 0.3655
O 0.4845
O 0.7544
O 1.3256
Answer:
0.3655
Step-by-step explanation:
I'm doing the assignment on ed right now
Write and solve an equation to find the value of x.
The value of x for each item is given as follows:
28. x = 5.
29. x = 3.44.
How to obtain the value of x in each item?For item 28, we apply the crossing chord theorem, which states that the products of the parts of the chords are equal, hence the value of x is obtained as follows:
16x = 10 x 8
16x = 80
x = 5.
For item 29, we apply the two secant theorem, hence the value of x is obtained as follows:
10(x + 10) = 12(12 + 25)
10x + 100 = 444
10x = 344
x = 3.44.
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Simplify (3√-5 +2)(4√-12 -1)
Thank you in advance
Full steps so I can understand!
Answer:
12√60 - 3√-5 + 8√-24 -2
Step-by-step explanation:
Use the distributive property
Multiply each by the other term outside their parantheses
for example multiply 3√-5 by 4√-12 and 3√-5 by -1.
Answer:
√
28
√
4
=
2
7
⋅
2
√
7
14
√
7
14
√
7
Explanation:
28
is the same as
2
×
14
witch in turn is the same as
2
2
×
7
Write as
7
√
2
2
×
7
Taking the
2
2
'outside' the square root changes it from
2
2
to
2
7
√
2
2
×
7
=
7
×
2
×
√
7
14
√
7
Step-by-step explanation:
You are a camp counselor and have 2/3 pound of fishing bait. If you give each
camper 1/6 pound, how many campers receive bait? Before you model and
solve this problem, estimate your answer.
Write a division expression that would represent the situation above.
C = amount of campers
so, if we give each campler 1/6 lb evenly, whatever that sum will just add up to 2/3 lb.
If we have "C" campers, the product of 1/6 * C gives use that sum, so we can say that
\(\cfrac{1}{6}C~~ =~~\cfrac{2}{3}\implies C = \cfrac{~~ \frac{2}{3}~~}{\frac{1}{6}}\implies C = \cfrac{2}{3}\div \cfrac{1}{6}\implies C = \cfrac{2}{\underset{1}{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\cdot \cfrac{\stackrel{2}{~~\begin{matrix} 6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{1}\implies C = 4\)
Provide an appropriate response. A 28-year-old man pays $94 for a one-year life insurance policy with coverage of $120,000. If the probability that he will live through the year is 0.9991, what is the expected value for the insurance policy
Answer:
$ 14.08
Step-by-step explanation:
We have that the policy costs $ 94 and with life insurance with coverage of $ 120,000, to calculate the expected value, we must subtract the value of that life insurance multiplied with the probability of dying (complement of the probability of living) and the policy value multiplied by the probability of staying alive) like this:
120000 * (1 - 0.9991) - 94 * 0.9991 = 14.0846
Which means that the expected value of the policy is $ 14.08
(i) Write the zeroes of the polynomial by using above graph.
(ii)Form a quadratic polynomial for above graph.
(iii)If a,1/a are the zeroes of polynomial 2x² -x +8k, then find the value of k.
please answer
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There is no real Value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.
(i) Zeroes of the polynomial:
In the graph, we have two points where the curve intersects the x-axis: one is at (-1,0), and the other is at (2,0).The corresponding values of x are -1 and 2, and they are the zeros of the polynomial. Therefore, the zeros of the polynomial are -1 and 2.(ii) Forming the quadratic polynomial:
From the graph, we can observe that the curve intersects the y-axis at the point (0,5), implying that the constant term of the polynomial is 5.
We can use the formula to find the quadratic polynomial if we have two zeros and one constant term. Thus, the quadratic polynomial is given by:(x + 1)(x - 2) = x² - x - 2x + 2 = x² - 3x + 2. Therefore, the quadratic polynomial is x² - 3x + 2.(iii) Value of k if a, 1/a are the zeroes of the polynomial 2x² - x + 8k:
We know that a and 1/a are the zeroes of the polynomial 2x² - x + 8k. Therefore, we can find the sum and product of the roots and use them to determine the value of k.
The sum of the roots is a + 1/a, and their product is a(1/a) = 1. Using the sum and product of the roots, we can write: a + 1/a = 1/2 (1/2 is the coefficient of x)Substituting a with 1/a in the above equation, we get: 1/a + a = 1/2Multiplying both sides of the equation by 2a, we get: 2 + 2a² = a
Simplifying the equation, we get: 2a² - a + 2 = 0Multiplying both sides by 2,
we get: 4a² - 2a + 4 = 0Dividing both sides by 2, we get: 2a² - a + 2 = 0
Using the quadratic formula, we get: a = [1 ± √(1 - 4(2)(2))]/(2(2))
Simplifying, we get: a = [1 ± √(-31)]/4Since the discriminant of the quadratic formula is negative, the roots are imaginary. Therefore, there is no real value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.
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A lighthouse is located at (1, 2) in a coordinate system measured in miles. A sailboat starts at (–7, 8) and sails in a positive x-direction along a path that can be modeled by a quadratic function with a vertex at (2, –6). Which system of equations can be used to determine whether the boat comes within 5 miles of the lighthouse?
StartLayout Enlarged Left-Brace 1st Row (x minus 1) squared + (y minus 2) squared = 5 2nd Row y = StartFraction 14 Over 81 EndFraction (x minus 2) squared minus 6 EndLayout
StartLayout Enlarged Left-Brace 1st Row (x minus 1) squared + (y minus 2) squared = 25 2nd Row y = StartFraction 14 Over 81 EndFraction (x minus 2) squared minus 6 EndLayout
StartLayout Enlarged Left-Brace 1st Row (x minus 1) squared + (y minus 2) squared = 5 2nd Row y = Negative StartFraction 14 Over 81 EndFraction (x + 7) squared + 8 EndLayout
StartLayout Enlarged Left-Brace 1st Row (x minus 1) squared + (y minus 2) squared = 25 2nd Row y = Negative StartFraction 14 Over 81 EndFraction (x + 7) squared + 8 EndLayout
The system of equations that can be used to determine whether the boat comes within 5 miles of the lighthouse is
StartLayout Enlarged Left-Brace 1st Row (x minus 1) squared + (y minus 2) squared = 25 2nd Row y = StartFraction 14 Over 81 EndFraction (x minus 2) squared minus 6 EndLayout. Option B
This is further explained below.
What is a parabola?a curve in an open plane that is symmetrical and open at both ends and created by the intersection of a cone with a plane that is parallel to the side of the cone. Under the influence of gravity, the route taken by a projectile takes the form of a curve similar to this one.
Generally, Every single pair of equations begins with an equation representing a circle as their initial problem.
Because you are interested in finding out whether the sailboat is within 5 miles of the coordinates (1,2), you will set the radius of the circle to 5.
The calculation for a circle reveals that the square of the radius should be used. In this case, the answer is 25. So far, it seems that answers two and four are correct.
Following this, the vertex will be shown to you as (h,k) (2,-6). When we look at the equation of a parabola, we want to find a solution that has a k value of -6, so our search begins there.
In conclusion, the system of equations that can be used to determine whether the boat comes within 5 miles of the lighthouse is
StartLayout Enlarged Left-Brace 1st Row (x minus 1) squared + (y minus 2) squared = 25 2nd Row y = StartFraction 14 Over 81 EndFraction (x minus 2) squared minus 6 EndLayout
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Answer:
b
Step-by-step explanation:
on edge
Please Give Me The Answer
The area covered by the signal is 181.37 m²
What is the area covered by the signal?Here we can see that the area covered by the signal is the fourth of a circle of radius R = 15.2m
The area of a circle of radius R is given by:
A = 3.14*R²
Then the area of a fourth of a circle is:
A = (3.14/4)*R²
Replacing the value of the radius in the formula we will get:
A = (3.14/4)*(15.2m)² = 181.37 m²
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Find the distance between the two points in simplest radical form.
(3,7) and (9,9)
Answer:
The answer is
\(2 \sqrt{10} \: \: units\)Step-by-step explanation:
The distance between two points can be found by using the formula
\(d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ \)where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(3,7) and (9,9)
The distance between them is
\(d = \sqrt{ ({3 - 9})^{2} + ({7 - 9})^{2} } \\ = \sqrt{ ({ - 6})^{2} + ({ - 2})^{2} } \\ = \sqrt{36 + 4} \\ = \sqrt{40} \)We have the final answer as
\(2 \sqrt{10} \: \: units\)Hope this helps you
Each of the 5 cats in a pet store was weighed. Here are their weights (in pounds):9, 13, 6, 7, 12Find the median and mean weights of these cats.If necessary, round your answers to the nearest tenth. median: mean:
Answer:
median: 9
mean: 9.4
Explanation:
To find the median, we need to organize the values from lowest to greatest, so
6, 7, 9, 12, 13
Then, the median will be the value that divides the data into two equal parts. In this case, is 9 because there are two values to the left of 9 and two values to the right of 9.
Therefore, the median is 9
On the other hand, the mean is calculated as the sum of all the values divided by the total number of values. Then
\(\begin{gathered} \operatorname{mean}=\frac{6+7+9+12+13}{5} \\ \text{mean}=\frac{47}{5} \\ \text{mean}=9.4 \end{gathered}\)Therefore, the answers are:
median: 9
mean: 9.4
(True or False) ((22)3) = 25.
Answer:
22*3=66
Flase
Step-by-step explanation:
The equation ((22)3) = 25 is false.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is ((22)3) = 25.
We have to check whether the left hand side is equal to right hand side.
If the LHS and RHS are equal then the equation is true.
If not then it is false.
The value in LHS is 22×3 = 66
The value in RHS is 25
66 is not equal to 25
Hence, the equation ((22)3) = 25 is a false statement.
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According to researchers at Dan Jones & Associates, 1 in every 3 women has been a victim of domestic abuse (Domestic Violence: Incidence and Prevalence Study, Sept.–Dec., 2005). However, many experts on domestic violence believe that the proportion of women who are domestically abused is closer to p = .10. Compare the probability of observing 4 or more abused women in a sample of 15 if p = 1/3 and the probability of observing 4 or more abused women in a sample of 15 if p = .10. The results will lead us to believe that p=1/3 or p=.1? Group of answer choices p=1/3 p=.1
Answer:
A) 79.08%
B) 5.55%
C)p = 1/3 is more appropriate than p = 0.1
Step-by-step explanation:
This is a binomial probability distribution problem, so we will use the formula;
P(k) = (n!/(k!(n - k)!) × p^(k) × (1 - p)^(n-k)
We want to Compare the probability of observing 4 or more abused women in a sample of 15 if p = 1/3 = 0.3333 and the probability of observing 4 or more abused women in a sample of 15 if p = 0.10
Thus;
P(X ≥ 4) = P(4) + P(5) + P(6) + P(7) + P(8) + P(9) + P(10) + (P(11) + P(12) + P(13) + P(14) + P(15)
A) Thus at p = 0.3333;
P(4) = (15!/(4!(15 - 4)!) × 0.3333^(4) × (1 - 0.3333)^(15-4) = 0.1949
P(5) = (15!/(5!(15 - 5)!) × 0.3333^(5) × (1 - 0.3333)^(15-5) = 0.2143
Using online binomial probability calculator we can get the remaining values which are;
P(6) = 0.1786
P(7) = 0.1148
P(8) = 0.0574
P(9) = 0.0223
P(10) = 0.0067
P(11) = 0.0015
P(12) = 0.0003
P(13) = 0.0000
P(14) = 0.0000
P(15) = 0.0000
Thus;
P(X ≥ 4) = 0.1949 + 0.2143 + 0.1786 + 0.1148 + 0.0574 + 0.0223 + 0.0067 + 0.0015 + 0.0003 + 0 + 0 + 0 = 0.7908 = 79.08%
B) Now,for p = 0.1 and Using online binomial probability calculator, we have;
P(4) = 0.0428
P(5) = 0.0105
P(6) = 0.0019
P(7) = 0.0003
P(8) = 0.0000
P(9) = 0.0000
P(10) = 0.0000
P(11) = 0.0000
P(12) = 0.0000
P(13) = 0.0000
P(14) = 0.0000
P(15) = 0.0000
P(X ≥ 4) = 0.0428 + 0.0105 + 0.0019 + 0.0003 + 0.0000 + 0.0000 + 0.0000 + 0.0000 + 0.0000 + 0.0000 + 0.0000 + 0.0000 = 0.0555 = 5.55%
C) Comparing both Probabilities, 79.08% is far higher than 5.55%. Thus we can say that p = 1/3 is more appropriate than p = 0.1
what are the assymptotes of this equation
can someone help me with this quickly pleaseee
Answer:
≈ 52m^2
Step-by-step explanation:
1)the face of a semicircle: (\(\pi\)*r^2)/2
2)the face of a rectangle: 6*5
3)the face of a triangle: (3*5)/2
1) d=6m r=3m (3.14*3^2)/2=28.26/2=14.13
2) 6*5=30
3) (3*5)/2=15/2=7,5
Full surface: 14.13+30+7.5=51.63
answer: 51.63m^2 ≈ 52m^2
16.9 and 1.7 and 0.17 and 2.0 rounded up to the nearest whole number
Answer:
17, 2, 0, 2
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
16.9 + 1.7 + 0.17 + 2.0 = 20.77 rounded to the nearest whole number is 21.
Suppose MarketOne is a marketing company that has small businesses for clients. MarketOne charges an upfront cost of $350 for new clients and an additional $195 per month to run and maintain the client's website. A linear equation could be used to relate the total cost, in dollars, of MarketOne's services and the number of months that the client's website is running. Which solution is viable for this situation? For full points, write the equation and show your work.
What is the definition of the word,"comparison"?
Answer:
the act or process of comparing: such as. a : the representing of one thing or person as similar to or like another
Step-by-step explanation:
a. What is the decimal for 1 trillionth of a second?
Answer:
Step-by-step explanation:
1 000 000 000 000 E12
Answer:
Step-by-step explanation:
0.000 000 000 001
If the triangles below are similar, find the value of x.
The value of the letter x is equal to 17 considering the triangles in number. 2 and 3 are similar.
How to calculate for the value of x for the similar trianglesTo know the value of x, we we first find the length of the base of the smaller triangle in the triangle numbered 3, and then sum the result with x + 7of the base of the larger triangle and equate it to 42 which is the length of the base of the triangle numbered 2 given that both triangles are similar.
Considering the smaller triangle in triangle number 3, we shall apply Pythagoras rule to get the base as follows;
base of smaller triangle = √(30² - 24²)
base of smaller triangle = √(900 - 576)
base of smaller triangle = √324
base of smaller triangle = 18
so the triangle in number 3 has a total base as;
18 + x + 7
Since triangles of number 2 and 3 are similar, we have that;
18 + x + 7 = 42
x + 25 = 42
subtract 25 from both sides
x = 42 - 25
x = 17
Therefore, the value of the letter x is 17 by proper application of Pythagoras rule for right-angled triangle.
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