There are 28 ways can-the coach select this pair.
What is Combination?A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Given that;
A coach selects 2 of his 8 team members to gather the equipment.
Now,
Since, A coach selects 2 of his 8 team members to gather the equipment.
Hence, Number of ways = [tex]^{8} C_{2}[/tex]
= 8! / 2! 6!
= 8 × 7 / 2
= 28
Thus, Number of ways = 28
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what graph represents the function f(x) = 4•3^x
Answer:
The graph should look something like this
Step-by-step explanation:
A deli sells a sandwich spread for $6.40 per pound. How much do
to pay for 24 ounces of the spread?
Answer:
it will be 4.60
Step-by-step explanation:
Answer:
You have to pay $9.60 for 24 ounces of the sandwich spread.
Given:
Unit cost of sandwich spread = $6.40 per pound
Weight of sandwich spread = 24 ounces
We need to convert the ounces into pound before we can compute the cost of the sandwich spread.
1 pound is equivalent to 16 ounces.
24 ounces x 1 pound/16 ounces = 24 pound/16 = 1.5 pounds
total cost of 24 ounces sandwich spread
1.5 pounds x $6.40 per pound = $9.60
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Evaluate 11.5 + 10.9 when x = 6 and y =7
After using algebraic expression the answer is 11.5x + 10.9y = 145.3 when x = 6 and y = 7 .
What do you mean by algebraic expression?
In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms provide the basis of expressions.
The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. Variables and constants can both be used in an algebraic expression.
Given expression:
11.5x + 10.9y
when x = 6 and y = 7
Substitute these values of x and y in above expression
11.5(6) + 10.9(7)
= 69 + 76.3
= 145.3
Therefore, 11.5x + 10.9y = 145.3 when x = 6 and y = 7
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A rectangular garden measures 29 by 39. Surrounding (and bordering) the garden is a path4ft wide. Find the area of this path. Be sure to include the correct unit in your answer.
Sugar cookies require 1 cups of butter for every
2 cups of sugar. How many cups of butter are
needed for 7 cups of sugar?
According to the question,
Given data.
Sugar cookies require 1.5 cups of butter for every 2 cups of sugar,
And
find that,
How many cups of butter are needed for 7 cups of sugar?
With the help of question,
1.5 cups of butter -----2 cups of sugar
x cups of butter = 7 cups of sugar
let us consider,
2 cup of sugar is 2x.
So, we can say that
2x= 1.5×7
x=10.5/2
=5.25 cups of butter
Then find the value of 5.25 cups of butter are needed for 7 cups of sugar.
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write an equation using slope intercept form 4,-1 and 0,1
Answer:
y = -0.5x + 1
Step-by-step explanation:
The slope intercept form of a line is given by:
y = mx + b
where m is the slope of the line and b is the y-intercept (i.e. the point at which the line crosses the y-axis). To find the equation of a line using two points, we can use the slope formula to calculate the slope, then use one of the points to find the y-intercept.
The slope of a line is given by:
m = (y2 - y1) / (x2 - x1)
Substituting the coordinates of the two given points into this formula, we get:
m = (-1 - 1) / (4 - 0) = -2 / 4 = -1/2
Now that we know the slope of the line, we can use one of the points to find the y-intercept. Let's use the point (4,-1):
y = mx + b
-1 = (-1/2) * 4 + b
-1 = -2 + b
b = 1
Therefore, the equation of the line that passes through the points (4,-1) and (0,1) in slope intercept form is:
y = (-1/2)x + 1
Note that the equation can also be written as:
y = -0.5x + 1
Consider the following expression and the simplified expression. Expression simplified expression 3 x squared + 5 y squared box + 3 box + 4 y squared + 6 9 x squared minus y squared + 9 which terms could be in the boxes to make the expressions equivalent?.
The simplified expression for the given problem will be :6x² and -10y²
Since the expression given to us is :
3 x² + 5 y²[] + 3 [] + 4 y²+ 6
= 3 x² + 5 y² + 4 y²[][]+6+3
=>3 x² + 9 y² [][]+9
The above equation is equal to 9 x²- y² + 9
=> 3 x² + 9 y² [][]+9 =9 x^2- y^2 + 9
now Equating the coefficients of x²and y² in LHS and RHS:
One box has = 9 x²- y²= +6x²
and the other will have = -y²- 9 = -10y²
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PLS HELP I WILL GIVE BRAINLEST!!!!
Which of these statements is correct? SELECT ALL THE ARE TRUE.
-A solution to the equation x2=4 is x=16.
-A solution to the equation x 2 = 64 is x = 4 .
-A solution to the equation x2=81 is x=9..
-A solution to the equation x 3 = 8 is x = 24 .
-A solution to the equation x3=125 is x=5.
-A solution to the equation x3=216 is x=6.
The true statement about the equation illustrated will be:
A solution to the equation x²=81 is x=9..
A solution to the equation x³=125 is x=5.
A solution to the equation x³=216 is x=6
How to illustrate the equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
In this case, the solution to the equation x²=81 is x=9. This will be the square root of 81 which is 9.
A solution to the equation x³=125 is x=5. This can be illustrated as:
5³ = 5 × 5 × 5.
= 125.
A solution to the equation x³=216 is x=6. This can be: 6³ = 216.
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Select all the expressions that are equivalent to 9x + 5 (6/5x + 3) - 30
a) 15x - 30
b) 16(x - 2)
c) 15x - 15
d) 15(x - 1)
e) 16(x - 2)
Answer:
D
Step-by-step explanation:
9x + 5 (6/5x + 3) - 30
9x + 6x + 15 - 30
15x - 15
15(x-1)
Given that line cd is a perpendicular bisector of triangle abc, if side ab has a length of 9 cm and side ac has a length of 16 cm, what is the length of side cd? answer to the nearest hundredth.
The length of the CD is 15.354 cm
As we know that a perpendicular bisector divides a line segment into 2 equal halves and makes a right angle with the line.
Here, the CD is the perpendicular bisector of AB.
Now from the above definition, we can classify that
AD = BD = 9/2 cm
= 4.5 cm
Also,
ΔACD is a right-angled triangle
According to the Pythagoras theorem for any right-angled triangle
length² + base² = hypotenuse²
In the given triangle,
length = CD
Base = AD
hypotenuse = AC
Hence we get
CD² + 4.5² = 16²
or, CD² + 20.25 = 256
or, CD² = 235.75
or, CD = √235.75
or, CD = 15.354
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Complete Question
(image Attached)
Solve for v.
3.8(v – 12.3) - 6.34 = 7.72
V =
Answer:
[tex]\boxed{\underline{\bf v=16}}[/tex]
Step-by-step explanation:
[tex]\tt 3.8\left(v-12.3\right)-6.34=7.72[/tex]
Simplify both sides of the equation:-
[tex]\tt 3.8(v-12.3)-6.34=7.72[/tex]
Distribute:-
[tex]\tt (3.8)(v)+(3.8)(-12.3)+-6.34=7.72[/tex]
[tex]\tt 3.8v+-46.74+-6.34=7.72[/tex]
Combine Like Terms:-
[tex]\tt (3.8v)+(-46.74+-6.34)=7.72[/tex]
[tex]\tt 3.8v+-53.08=7.72[/tex]
[tex]\tt 3.8v-53.08=7.72[/tex]
Add 53.08 to both sides:-
[tex]\tt 3.8v-53.08+53.08=7.72+53.08[/tex]
[tex]\tt 3.8v=60.8[/tex]
Divide both sides by 3.8:-
[tex]\tt \cfrac{3.8v}{3.8}=\cfrac{60.8}{3.8}[/tex]
[tex]\tt v=16[/tex]
______________________
Hope this helps!
Have a great day!
INTEREST Tatiana opened a savings account with $10,000 that earns 2.1% simple interest annually. After how many years will the balance of the account be $10,750? Round to the nearest tenth, if necessary.
Answer:
x = 3.6
Step by step explanation:
Let number of years be x
W.K.T
Simple interest is the interest calculation method that applies a constant rate of interest to the principal amount of a loan or deposit over a period of time. It is calculated as a percentage of the principal amount, multiplied by the number of periods the interest is applied for.
Simple interest is used to calculate interest on loans, deposits, and other investments. It is also used to calculate the total amount owed on a loan or the return on an investment.
I = P × R × T
Where:
I = Interest Amount
P = Principal Amount
R = Interest Rate (as a decimal)
T = Time (number of periods)
10,750 - 10000 = 10,000 x 2.1% x X
750 = 10,000 x 0.02 x X
x = 3.6
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Which graph represents the function f(x)=−3x−2?
Responses
Answer:
I would go with the bottom left one but these are very weird
Step-by-step explanation:
If the exponential model f(x)=5(12)x is written with the base e, it will take the form a0ekx. What is a0 and what is k?.
The value of a₀ is 5 and value of k is 12 if the exponential model of 5 ˣ 12x is written with the base e.
Exponential models portray circumstances where the pace of progress of something is straightforwardly corresponding to the amount of that thing there is. In number related terms: dy dt = ky where dy dt is the pace of progress in a moment, y is how much what we're discussing right then and there, and k is the consistent of proportionality. We need to use logarithmic functions to evaluate the values.
We are given function in form of x which is f(x) = 5×12ˣ,it is equivalent to
=>f(x)=5 × expo(ln(12ˣ)
=>f(x) =5 ˣ [tex]e(^1^2)^x[/tex]
On comparing with the given equation - a₀[tex]e^(k)^x[/tex] ,we get
=>a₀=5 and k=12.
Hence, required values are 5 and 12,
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loser buys the pizza leona and fred are friendly competitors in high school. both are about to take the act college entrance examination. they agree that if one of them scores 5 or more points better than the other, the loser will buy the winner a pizza. suppose that in fact fred and leona have equal ability, so that each score varies normally with mean 24 and standard deviation 2. (the variation is due to luck in guessing and the accident of the specific questions being familiar to the student.) the two scores are independent. what is the probability that the scores differ by 5 or more points in either direction? follow the four-step process.
The probability that the scores differ by 5 or more points in either direction is 0.0764.
According to the Question,
the mean and standard deviation of are
μₓ = 24
σₓ = 2
We have to find the probability of the scores differ by or more points on either direction.
Considering the X₁ and X₂ as the random variable, the scores of Leon and Fred.
Define the variable:
D = X₁ - X₂
We have to find : P(IDI ≥ 5)
According to the Question, the two scores are independent
The mean of :
D : μₐ = 0
The standard deviation of :
D : σₐ = 2.828
Standardizing the mean and standard deviation:
D = -5
Z = X - μₐ / σₐ
= -5 -0 / 2.828
= -1.77
Now, we standardize
D = 5
Z = X - μₐ / σₐ
= 5 -0/ 2.828
= 1.77
Now,
Calculating the probability:
Using a table of typical normal probabilities as a guide,
P(D ≤ -5) or P(D ≥ 5)
= P ( z ≤ - 1.77) + P( z ≥ 1.77)
= P(z ≥ 1.77) + P(Z ≥ 1.77)
= 2P( z ≥ 1.77)
= 2[ 1 - p(z≤ 1.77)]
= 2[ 1 - 0.9618]
= 0.0764
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What is scale factor give at least 1 example?
The ratio of Marta’s hourly pay to Khalid’s hourly pay is 6 : 5
Both Marta and Khalid get an increase of £1.50 in their hourly pay.
The ratio of Marta’s hourly pay to Khalid’s hourly pay after this increase is 13 : 11
Work out the hourly pay before the increase for Marta and for Khalid
The hourly pay before the increase for Marta and for Khalid is $18 and $15 respectively.
Given that, the ratio of Marta’s hourly pay to Khalid’s hourly pay is 6:5.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Now, Marta’s hourly pay is 6x and Khalid’s hourly pay is 5x
Both Marta and Khalid get an increase of £1.50 in their hourly pay.
So, Marta’s hourly pay will be 6x+1.50 and Khalid’s hourly pay will be 5x+1.50
The ratio of Marta’s hourly pay to Khalid’s hourly pay after this increase is 13:11
Here, (6x+1.50)/(5x+1.50) =13/11
11(6x+1.50)=13(5x+1.50)
⇒ 66x+16.5=65x+19.5
⇒ x=3
So, Marta’s hourly pay is $18 and Khalid’s hourly pay is $15
Therefore, the hourly pay before the increase for Marta and for Khalid is $18 and $15 respectively.
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How to do product and quotient
1. To multiply two powers with the same base, we add their exponents.
2. An expression that you could simplify using the quotient of powers property is of: 3³/3² = 3.
The results of the expressions are given as follows:
3. 4^11.
4. 5^11.
5. 6^8.
6. 7^9.
What are the exponential rules for product and quotient?When two or more terms have the same base and different exponents and then are multiplied, the base is kept while the exponents are added.
When two terms have the same base and different exponents and then are divided, the base is kept while the exponents are subtracted.
The multiplication rule is used for each of the items from 3 to 6, as:
3. 4^11, as 2 + 9 = 11.
4. 5^11, as 3 + 8 = 11.
5. 6^8, as 7 + 1 = 8.
6. 7^9, as 3 + 4 + 2 = 9.
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Please help meee !!!!!
Break up the problem into 26,000 pounds and 9 pounds.
To find total boxes needed, divide by weight per box.
26,000 / 20 = 1300
Last box has 9/20 pounds of material
Hope this helps :)
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- Jeron
if a 4m yardstick casts a 21m shadow, how tall is a building that is 64m (draw a picture with two similar polygons)
If a 4m yardstick casts a 21m shadow, building is 12.19 tall with shadow of 64m.
Define comparison.Comparing one thing to another is what the word compare means in the dictionary. Mathematical number comparison is the process or method of comparing two numbers to determine whether one is less, bigger, or equal to the other. This week, comparison problems—which entail determining the similarities or differences between sets—were the focus. Finding out how many more there are in one set than the other is a form of comparative problem.
Given,
Yardstick:
= 4/21
Building:
Length:
= x/64
Comparing yardstick to building,
4/21 = x/64
21x = 64 × 4
21x = 256
x = 12.19
If a 4m yardstick casts a 21m shadow, building is 12.19 tall with shadow of 64m.
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PLEASE HELP I WILL GIVE BRAINLIEST!!
Ray BX is an angle bisector of angle ABC. If m∠ABX = 2y+10, and m∠ABC = 10y-4, calculate the measure of angle XBC.
Answer:
The measure of angle XBC can be calculated by subtracting the measures of angles ABX and ABC from the measure of the whole angle, which is 180 degrees. So, if m∠ABX = 2y+10, and m∠ABC = 10y-4, then the measure of angle XBC is 180 - (2y+10) - (10y-4) = 180 - 12y - 6 = 168 - 12y.
I know the answer to this problem, but how do you solve it :
(x+2)(5x+1)=5x(x+1)
the answer is -1/3
Answer:
see explanation
Step-by-step explanation:
(x + 2)(5x + 1) = 5x(x + 1) ← expand factors on left side using FOIL
5x² + 11x + 2 = 5x² + 5x ( subtract 5x² from both sides )
11x + 2 = 5x ( subtract 5x from both sides )
6x + 2 = 0 ( subtract 2 from both sides )
6x = - 2 ( divide both sides by 6 )
x = [tex]\frac{-2}{6}[/tex] = - [tex]\frac{1}{3}[/tex]
Answer: you already stated that you know it is x = -1/3
Step-by-step explanation: first, open the parenthesis by multiplying (x+2) and (5x+1), which equals 5x^2 + 11x + 2, the current expression is 5x^2 + 11x + 2 = 5x(x+1).
now, do the same thing to the other side, distribute the 5x to (x+1), which equals 5x^2 + 5x.
Now the expression is 5x^2 + 11x + 2 = 5x^2 + 5x. subtract 5x^2 from both sides, and subtract 5x from both sides, which leaves you with 6x + 2 = 0,
subtract 2 from both sides, now, 6x = -2, lastly, divide both sides by 6 to isolate x, and you get x = -2/6, or, if you write it in it's smallest form, -1/3. hope I helped
How do you find the equation of two parallel lines on a graph?
Two lines are said to parallel when they have the same slope, from which we can find the equation for both the lines.
The equation of two parallel lines on a graph can be determined by understanding the slope of the two lines. To find the equation of two parallel lines on a graph, first determine the slope of the two lines. This can be done by picking two points, (x1,y1) and (x2,y2), on the line and then calculating the slope using the formula: slope = (y2 - y1) / (x2 - x1). The two lines will have the same slope if they are parallel. After determining the slope, plug the slope and the coordinates of one of the points into the equation: y = mx + b, where m is the slope and b is the y-intercept. This equation will give the equation of the line in slope-intercept form. To find the equation of the second line, use the same slope and the coordinates of one of the points on the second line.
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. Una herencia de $195 000 se va a repartir
entre tres personas. La segunda recibe la mi-
tad de lo que recibe la primera. La tercera la
cuarta parte de lo que recibe la segunda.
¿Cuánto dinero recibe la primera persona?
Cuánto dinero recibe la primera persona La primera recibe $120 000
What are linear equations ?
An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line.
The standard form or the general form of linear equations in one variable is written as, Ax + B = 0; where A and B are real numbers, and x is the single variable. The standard form of linear equations in two variables is expressed as, Ax + By = C; where A, B and C are any real numbers, and x and y are the variables.
Sea la cantidad que reciben las tres personas
Primera = x
Seguna = x/2
Tercera = x/2(1/4) = x /8
La suma de las cantidades de todos dará el total
x + x/2 + x/8 = 195000
13x/8 = 195000
x = $120000
Reemplazando
Primera = x = $120 000
Rpta. La primera recibe $120 000
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A dealer sold a pair of skis for $371.25 after she marked them up 35%. What did the dealer pay for the skis?
a. $241.21 b. $252.50 c. $275.00 d. $501.19
$501.19 did the dealer pay for the skis.
What is percent?
A percentage in mathematics is a number or ratio that is expressed as a fraction of 100. The abbreviations "pct.", "pct.", and occasionally "pc" are also used to indicate it, though the percent sign, "%," is most frequently used. A percentage has no dimensions and no standard measurement.
Given:
A dealer sold a pair of skis for $371.25 after she marked them up 35%.
After mark for 35% it will be
371.25 x 35% = 371.25 x 0.35 = 129.94
So, dealer pay for the skis is,
$371.25 + $129.94 = $501.19
Hence, $501.19 did the dealer pay for the skis.
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averages hours of children spent in day care weekly before covid 19 have been known to be 25. a recent study indicates that in 2022 this has increased. do the data support this claim?
By using testing of hypothesis, it can concluded that
Population mean is 25.
What is testing of hypothesis?
Suppose there is a data at hand and there is a hypothesis to be tested. Testing of hypothesis determines whether the given hypothesis can be supported with the data at hand.
Here,
Sample size = 23
Population mean = 25
Sample mean = 28.739
Sample standard deviation = 10.015
Here,
The null hypothesis [tex]H_0 : \mu = 25[/tex]
The alternative hypothesis [tex]H_a : \mu \neq25[/tex]
Here, the population standard deviation is unknown. So two tailed test is used.
Here, level of significance = 0.05
Critical value for two tailed test is 2.07
The test statistic t = [tex]\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]=\frac{28.7391 - 25}{\frac{10.0146}{\sqrt{23}}}[/tex]
= 1.79
1.79 lies between -2.07 and 2.07
So we fail to reject the null hypothesis
So it can be claimed that population mean is 25.
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the rate of growth of a fish population was modeled by the equation , where t is measured in years since 2000 and g in kilograms per year. if the biomass was 25,000 kg in the year 2000, what is the predicted biomass for the year 2020?
the predicted biomass for the year 2020 is 41,666 kg.
What is exponential?
The exponential is an example of a mathematical function that is useful in determining if something is increasing or decreasing exponentially is the exponential function. As implied by its name, an exponential function uses exponents. But take note that an exponential function does not have a variable as its exponent and a constant as its base (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).
The growth rate function's units on it (along with 4t and dt) are years, therefore year = kg year will result in an integral that will show the net change in kilogrammes from 2000 to 2020.
if the biomass was 25,000 kg in the year 2000, what is the predicted biomass for the year 2020.
WE GET: 60000(-1/3) ∫(1/u)
=16666
This is the change in biomass from 2000 to 2020. Thus, the predicted biomass for 2020 is about (25000 + 16,666) = 41,666 kg.
Hence, the predicted biomass for the year 2020 is 41,666 kg.
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Every day, a store tracks how many customers make a purchase before one of them uses a coupon.
The table below is a probability distribution where XXX represents the number of customers that make a purchase before one uses a coupon on a given day.
The expected value of the distribution of the number of customers that make a purchase before one uses a coupon on a given day is of:
2.94 customers.
How to calculate the expected value?This distribution is a discrete distribution, hence the expected value is calculated as the sum of each outcome multiplied by it's probability.
From the table shown at the end of the answer, we have that:
X represents the outcome.P(X) represents the probability of the outcome X.Then the expected value of the distribution is calculated as follows:
E(X) = 1 x 0.33 + 2 x 0.22 + 3 x 0.15 + 4 x 0.10 + 5 x 0.07 + 6 x 0.04 + 7 x 0.03 + 8 x 0.03 + 9 x 0.02 + 10 x 0.01 = 2.94 customers.
Missing InformationThe problem asks for the expected value of the distribution.
The graph of the distribution is given by the image shown at the end of the answer.
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the p-value for a hypothesis test turns out to be 0.02916. at a 9% level of significance, what is the proper decision?
The proper decision is to reject the null hypothesis.
What is hypothesis testing?
The concept, procedures, and method of testing a hypothesis against the null hypothesis. The testing hypothesis is said to have that level of significance if the null hypothesis is only rejected if its probability is less than a preset significance level.
Given: p-value = 0.02916
Level of significance = 9%
The P-value approach involves determining "likely" or "unlikely" by determining the probability — assuming the null hypothesis were true — of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed.
If the P-value is less than (or equal to), then the null hypothesis is rejected in favor of the alternative hypothesis. And, if the P-value is greater than, then the null hypothesis is not rejected.
Therefore, p-value is less than the level of significance.
Hence, we are rejecting the null hypothesis.
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Geometry, Translations. Please help me with this one. 20 points.
Answer:
17,7
Step-by-step explanation:
just use cauculator