Answer: ∠G≅M
∠E≅∠A
∠T≅∠P
segment GE≅ segment MA
segment ET≅ segment AP
segment GT≅ segment MP
Step-by-step explanation:
We know that if two triangles are congruent then their corresponding angles and sides are congruent by CPCTC.
[ CPCTC=Congruent Parts of Congruent Triangles ]
Given: ΔGET≅ΔMAP
Then by CPCTC
∠G≅M
∠E≅∠A
∠T≅∠P
segment GE≅ segment MA
segment ET≅ segment AP
segment GT≅ segment MP
Hence, if ΔGET≅ΔMAP, then corresponding parts are congruent are :-
∠G≅M
∠E≅∠A
∠T≅∠P
segment GE≅ segment MA
segment ET≅ segment AP
segment GT≅ segment MP
Please help and show all work.
Show why the function f(x) = 3rad x is not differentiable at x=0
does this equation describe a linear function
Y=2/x-28
The revenue from selling x shirts is r(x) = 15x.
The cost of buying x shirts is c(x) = 7x + 20.
The profit from selling x shirts is p(x) = r(x) – c(x).
What is p(x)?
A. p(x) = 22x – 20
B. p(x) = 22x + 20
C. p(x) = 8x – 20
D. p(x) = 8x + 20
The profit function, p(x) is the difference between the revenue and cost function of the shirt sales, Hence, the profit function is 8x - 20
Given the Parameters :
Revenue function, R(x) = 15x Cost function, C(x) = 7x + 20The profit function can be expressed thus ::
Revenue function - Cost FunctionP(x) = R(x) - C(x)
P(x) = 15x - (7x + 20)
P(x) = 15x - 7x - 20
P(x) = 8x - 20
Therefore, the profit function is 8x - 20.
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If it takes 4 men 6 hours to repair a road, How long will it take 7 men to do the job if they work at the same rate ?
Billy picked 18 oranges. Taylor picked 3 times as many oranges as Billy did. They want to put them in bags with 9 oranges in each bag.
How many bags will they need for all the oranges?
Before a sale, an item’s price was $38.00. After the sale discount, the price became $32.30. What was the percent of the sale discount
Answer:
15%
Step-by-step explanation:
Before a sale, an item’s price was $38.00.
Original price, p = $38.00
After the sale discount, the price became $32.30.
After discount price, q = $32.30
Difference of sale = 38.00 - 32.30
= $5.70
% of sale distance [tex]=\dfrac{difference}{original price}\times 100[/tex]
[tex]=\dfrac{5.70}{38.00}\times 100[/tex]
[tex]=15\%[/tex]
Hence, The sale discount is 15%
Before a sale, an item’s price was $38.00. After the sale discount, the price became $32.30. The percentage of the sale discount is 15%.
What is the percentage?A percentage is a minimum number or ratio that is measured by a fraction of 100.
Before a sale, an item’s price was $38.00.
Original price, p = $38.00
After the sale discount, the price became $32.30.
After discount price, q = $32.30
Difference of sale = 38.00 - 32.30
= $5.70
The percent of the sale discount = difference/ original x 100
= 5.70 / 38.00 x 100
= 15%
Thus, The percentage of the sale discount is 15%.
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The parent function of a graph is f(x) = x2. The graph shifts a units to the left and down b units. Which function models the transformed function?
A) y = x2 - a + b
B) y = (x - a)2 - b
C) y = (x + a)2 - b
D) y = (x - b)2 - a
B was incorrect, whats answer?
How would I solve -x^2 = -36?
WHO IS GOOD AT MATH!!!!! Solve this problem.
326-9²+32= ?
How do you construct a line segment perpendicular to the segment given through the point given?
what is w reduced by 22? f(w)=
Martene got a small aquarium for her birthday. The aquarium is a right rectangular prism 18.5cm long by 15cm wide. Martene put 3885 cm3 of water in the aquarium. How deep is the water in the aquarium -
in february,Robbins and Myers,Inc.executed a 2-for-1 split.janine had 470 shares before the spilit.each share was worth $69.48. A.how many shares did she hold after the split? B.what was the post-split price per share? C.show that the split was a monetary non-event for janine?
Janine held 940 shares after the split. The post-split price per share was $34.74. The split was a monetary non-event as the total value of Janine's shares remained the same.
Explanation:A 2-for-1 split means that for every one share of stock owned, an investor receives two shares in return. In this case, Janine had 470 shares before the split. After the split, she would have 470 x 2 = 940 shares.
The pre-split price per share was $69.48. Since the split was 2-for-1, the post-split price per share would be $69.48 / 2 = $34.74.
To show that the split was a monetary non-event for Janine, we can calculate the total value of her shares before and after the split. Before the split, Janine's shares were worth 470 x $69.48 = $32,621.60. After the split, her 940 shares would be worth 940 x $34.74 = $32,621.60. Therefore, the total value of her shares remained the same.
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What is the doubling time of prices which are increasing by 7 percent per year?
The doubling time of prices increasing at a rate of 7% per year can be calculated using the Rule of 70, which states that the doubling time of a variable undergoing exponential growth is approximately 70 divided by the growth rate. Thus, the doubling time for these prices would be about 10 years.
Explanation:The question pertains to the concept of doubling time in the field of finance and economics, specifically how quickly something (prices, in this case) doubles in size or value at a constant growth rate. The doubling time for a variable growing at a 7% annual growth rate can be calculated using the Rule of 70. This rule states that the doubling time of a variable undergoing exponential growth is approximately 70 divided by the growth rate (in this case, 7).
So, to calculate:
Doubling Time = 70 / 7
Doubling Time = 10 years
This means that the prices will double approximately every 10 years if they increase at a constant rate of 7% per year.
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5,550 divide 10 to the power of 3
This would be 5.55
5550÷10^3=5.55
Hope this helps
The solution involves dividing 5,550 by 1,000, which gives 5.55. The expression 10³ represents 1,000, simplifying the division. Therefore, 5,550 divided by 10 to the power of 3 equals 5.55.
To solve the problem 5,550 divided by 10 to the power of 3, follow these steps:
First, understand that 10 to the power of 3 is equivalent to 10³.Calculate 10³: 10 × 10 × 10 = 1,000. Now, divide 5,550 by 1,000: 5,550 ÷ 1,000 = 5.55.Therefore, 5,550 ÷ 10³ = 5.55.
20 less than 5 times a number
3.4−2.8d+2.8d−1.3 Combine like terms to simplify the expression
write an expression for the quotient of a number and 5 decreased by 4
[11 (y- 10)] = (4y- 5) what is y
If f(x)=-2(5)^x what is f(2)
Which of the following characteristics of a parallelogram leads to the conclusion that every square can always be classified as a parallelogram? Select all that apply.
four equal sides
two pair of opposite equal angles
bisecting diagonals
two pair of opposite parallel sides
Answer:
two pair of opposite equal angles
bisecting diagonals
two pair of opposite parallel sides
At 1 P.M., there were 16 seagulls on the beach. At 3p.m., there were 40 seagulls. What is the constant rate?
Mary bought 20 bowls and plates for $96. each bowl cost $4.50 and each plate cost $1.50 more than a bowl. she bought more bowls than plates. how many bowls and how many plates did she buy?
After 2 months on a diet, John’s weight dropped from 168 pounds to 147 pounds. By what percent did John’s weight drop?
Final answer:
John's weight dropped by 12.5%.
Explanation:
To calculate the percent by which John's weight dropped, we need to find the difference between his initial weight and final weight, and then divide that difference by his initial weight. We can then multiply the result by 100 to express it as a percentage.
Initial weight = 168 pounds
Final weight = 147 pounds
Difference = 168 - 147 = 21 pounds
Percent drop = (Difference / Initial weight) x 100
Percent drop = (21 / 168) x 100 = 12.5%
Therefore, John's weight dropped by 12.5%.
Final answer:
To calculate the percent by which John's weight dropped, subtract his final weight from his initial weight, and divide the difference by his initial weight, then multiply by 100. John's weight dropped by 12.5%.
Explanation:
To calculate the percent by which John's weight dropped, you need to find the difference between his initial weight and his final weight, then divide that difference by his initial weight and multiply by 100.
Difference in weight = Final weight - Initial weight = 147 - 168 = -21 Percent weight drop = (Difference in weight / Initial weight) * 100 = (-21 / 168) * 100 = -12.5%So, John's weight dropped by 12.5%.
Define a new random variable by y = 2px. show that, as p l 0, the mgf of y converges to that of a chi squared random variable with 2r degrees of freedom by showing that
To show that the moment generating function (mgf) of a random variable y = 2px converges to that of a chi-squared random variable with 2r degrees of freedom as p approaches 0, we need to find the mgf of y using the definition of the mgf and substitute the new random variable. Then, by applying the limit as p approaches 0, we can demonstrate the convergence.
In this question, we are asked to define a new random variable, y = 2px, and show that as p approaches 0, the moment generating function (mgf) of y converges to that of a chi-squared random variable with 2r degrees of freedom.
To show this, we need to find the mgf of y by using the definition of the mgf and substituting the new random variable.
Then, as p approaches 0, we need to simplify the mgf and show that it converges to the mgf of a chi-squared random variable with 2r degrees of freedom.
By applying the limit as p approaches 0, we can demonstrate that the mgf of y converges to the mgf of a chi-squared random variable with 2r degrees of freedom.
At tennis practice, Tim practices his backhand and his serve at least 2 hours each day. He works less on his backhand than his serve and practices his serve more than 1/2 hour daily.
Which system of inequalities represents Tim’s daily tennis practice if x represents the number of hours spent practicing his backhand and y represents the number of hours practicing his serve?
The images below are the possible answers,
Answer:
[tex]\left\{\begin{matrix}x+y\geq 2\\ x< y\\ y> \frac{1}{2}\end{matrix}\right.[/tex]
Step-by-step explanation:
Let x represents the number of hours spent practicing his backhand
Let y represents the number of hours practicing his serve.
Since we are given that Tim practices his backhand and his serve at least 2 hours each day i.e. he practices his backhand and serves for two hours or more than two hours
⇒ x+y≥2 --(a)
We are also given that He works less on his backhand than his serve
⇒x < y --(b)
And we are also given that he practices his serve more than 1/2 hour daily.
⇒ y > 1/2 --(c)
Thus the inequalities are :
[tex]\left\{\begin{matrix}x+y\geq 2\\ x< y\\ y> \frac{1}{2}\end{matrix}\right.[/tex]
Thus the Option C is correct .
Audrey has $120 dollars to spend on a tennis racket and lessons. The racket costs $45 and the lessons cost $15 dollars per hour. Define a variable. The write and solve an equation to find how many hours of lessons she can afford.
If a snail can move 3/10 of a meter every 1/12 hour, what is the speed of the snail, in meters per hour?
1/4
5/18
1 1/2
3 3/5
The speed of the snail, in meters per hour 3 3/5 meters/hour.
Given that, a snail can move 3/10 of a meter every 1/12 hour.
We need to find the speed of the snail, in meters per hour.
What is speed?Speed tells us how fast something or someone is travelling. You can find the average speed of an object if you know the distance travelled and the time it took. The formula for speed is Speed = Distance ÷ Time.
Now, speed = 3/10 ÷ 1/12
=3/10 × 12/1
=18/5
=3 3/5
Therefore, the speed of the snail, in meters per hour 3 3/5 meters/hour.
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The top of a manhole cover is shaped like a circle. The area of the manhole cover is 380 square inches. What is the circumference of the manhole cover, to the nearest inch?
need to find the radius first
area = pi*r^2
380 = PI *r^2
380/PI = r^2
r^2 = 121
r = sqrt(121) = 11 inches
radius is 11 inches
now calculate circumference:
c = 2*PI*r
C = 2 * 3.14 * 11
circumference = 69.08 = 69 inches