Given that K is the midpoint of segments RM and JL, and prove Δ RKJ ≅ Δ MKL.
Statements
Reasons
1. K is the midpoint of segments RM and JL
1. Given
2.
2.
3. and
3.
4. RK = MK and JK = LK
4. Definition of Congruent Segments
5. Δ EGF ≅ Δ EGH
5.
What is Reason #3?
a
Given
b
Definition of Midpoint
c
CPCTC
d
SSS Congruence Postulate
Answers
The complate table is,
Statement Reasons
1) K is the midpoint of segments Given
RM and JL.
2) RJ ≅ ML SSS Congruence Postulate
3) RK ≅ MK , JK ≅ LK Definition of Midpoint
4) RK = MK , JK = KL Definition of Congruence
Segments
5) Δ EGF ≅ Δ EGH CPCTC
What is Line segment?A line segment is a part of line having two endpoints and it is bounded by two distinct end points and contain every point on the line that is between its endpoint.
Given that;
K is the midpoint of segments RM and JL.
Now,
Since, K is the midpoint of segments RM and JL.
Hence, We get;
Statement Reasons
1) K is the midpoint of segments Given
RM and JL.
2) RJ ≅ ML SSS Congruence Postulate
3) RK ≅ MK , JK ≅ LK Definition of Midpoint
4) RK = MK , JK = KL Definition of Congruence
Segments
5) Δ EGF ≅ Δ EGH CPCTC
Thus, The complete table is shown above.
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Related Questions
Select the interval where the graph h is negative.
Answers
Answer: C
Step-by-step explanation:
Based on the graph, we know that it is negative if it is under the x-axis. It is also indicated by the negative labels.
A: incorrect
Looking at choice A, it says the interval is from -3<x<-2. This means we have to find x=-3 and x=-2. On the graph, that interval is above the x-axis, so it is positive, not negative.
B: incorrect
Looking at choice B, it says the interval is from 2<x<3. This means we have to find x=2 and x=3. On the graph, that interval is above the x-axis, so it is positive, not negative.
C: correct
Looking at choice C, it says the interval is from 4<x<5. This means we have to find x=4 and x=5. On the graph, that interval is under the x-axis, so it is negative.
Therefore, C is the correct answer.
The endpoints of a line segment AB are (1, -6) and (5, -6). The equation of a line BC is
y=x-11. Is triangle ABC a right triangle? Justify your answer.
Answers
No, triangle ABC is not a right triangle. The equation of a line BC "y=x-11" is a line with slope of 1, which means it has an angle of 45 degrees with respect to the x-axis. The segment AB has a slope of 0, which means it is parallel to the x-axis. A right triangle's legs must be perpendicular, therefore a line with a slope of 1 and a line with a slope of 0 cannot be the legs of a right triangle.
A RIGHT TRIANGLEA right triangle is a triangle in which one of the angles is 90 degrees. In order for a triangle to be a right triangle, the two sides (or legs) that form the 90-degree angle must be perpendicular to each other. Perpendicular lines have slopes that are negative reciprocals of each other.
In this case, the equation of the line segment AB is "y = -6", which means it is parallel to the x-axis. The slope of a line parallel to the x-axis is 0. On the other hand, the equation of the line BC is "y = x - 11", which means it has a slope of 1. A slope of 1 means that the line is at a 45 degree angle with respect to the x-axis.
Since the slopes of the two lines are not negative reciprocals of each other (0 and 1), the legs of the triangle cannot be perpendicular. Therefore, triangle ABC cannot be a right triangle.
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a builder wishes to fence in 60,000m of land in a rectangular shape. for security reasons, the fence along the front part of the land will cost 20 per meter, while the fence for the other three sides will cost 10 per meter. how much of each type of fence should the builder buy to minimize the cost of the fence
Answers
The builder should buy x meters of $20/m fence for the front side and 3x + 2y meters of $10/m fence for the other three sides.
To minimize the cost of the fence, the builder needs to use the least expensive type of fence for the three sides of the land that are not the front. Since the fence along the front of the land costs $20 per meter and the fence for the other three sides costs $10 per meter, the builder should use the $10 per meter fence for the other three sides.
To find out how much of each type of fence the builder needs to buy, we need to determine the total length of the three sides that are not the front. Since the land is a rectangular shape, we can use the formula for the perimeter of a rectangle:
Perimeter = 2(length) + 2(width)
Let's assume the length of the front side is x and the width of the land is y, the perimeter of the land is:
2x + 2y = 60,000
To find out the total length of the three sides that are not the front, we need to subtract the length of the front side from the perimeter of the land:
60,000 - x = 3x + 2y
The total length of the three sides that are not the front is 3x + 2y.
Now we can calculate how much the builder will pay for each type of fence:
Cost of front fence = $20/m * x = $20xCost of other three sides = $10/m * (3x + 2y) = $30x + $20yTotal cost of the fence = $20x + $30x + $20y = $50x + $20y
To minimize the cost, the builder should choose the values of x and y that minimize the total cost of the fence. To do this, the builder should set the derivative of the total cost function with respect to x and y and then set them equal to zero and solve for x and y.
However, in this case, we can simply see that the total cost is minimized by using the $10/m fence for the other three sides and using the $20/m fence only for the front side. Therefore, the builder should buy:
x meters of $20/m fence for the front side3x + 2y meters of $10/m fence for the other three sides.This way, the builder minimizes the cost of the fence and ensures that the security of the land is maintained.
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what is the answer????
Answers
Answer:
x = 11.2
Step-by-step explanation:
[tex]\frac{6.4}{x}[/tex] = [tex]\frac{4}{7}[/tex]
4x = 44.8
x = 11.2
h=?ft
what is the correct answer
Answers
Answer:
h = 4 ft
Step-by-step explanation:
the area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
here b = 8 and h = 3 , then
A = 8 × 3 = 24 ft²
Now consider the other base b = 6 with perpendicular height h , then
6h = 24 ( divide both sides by 6 )
h = 4
The Reed family is selecting a furniture set. A furniture set has a bed, a desk and a dresser. There are 4 beds, 3 desks, and 1 dresser to select from. How many different furniture sets could they select?
Answers
Answer:
12.
Step-by-step explanation:
right!!
HELP!!!! if you answer you get 20 points.
Answers
Answer:
Very last choice is the answer.
Step-by-step explanation:
Remark
The thing that is most important is that the horizontal line connect h and the radius is parallel to the cut of the sphere if it was placed right in the middle. That line swings around as though the center was a pivot.
Solution
So what you have is a circle when that line goes around that part of the sphere. To find the length of that line, use the Pythagorean Theorem. Call the line r1.r1 ^2 = r^2 - h^2So the area is pi * r1^2Area = pi (r^2 - h^2)The very last one is the answer.•225+225 = ?
•5/25 = ?
•78-8 = ?
•13*1 = ?
Answers
Step-by-step explanation:
hope it is helpful to you
Johhny earns $2,334.50 from his job each month. He pays $1,437 for monthly expenses. Johnny is planning a vacation in 3 months' time that he estimates will cost $1,750 total. How much will Johnny have leftover from three months of saving once he pays for his vacation?
Answers
Answer:
2,302,63
Step-by-step explanation:
................
Answer:
942.50
Step-by-step explanation:
First, multiply 2334.50 by 3 to get 7003.50. Then multiply 1437x3= 4311
7003.50-4311=2692.50 Then take away 1750. 2692.50-1750=942.50
I hope this helps! UWU
can someone please tell which congruency do you use and how?
Answers
To prove that ΔABC is isosceles.
Properties of an isosceles triangle.An isosceles triangle is a type of triangle in which the length of its two sides, and measure of its two internal angles are equal. When a bisector of an angle is drawn to one of the internal angles of the triangle, two congruent triangles of corresponding properties are produced.
To prove that ΔABC is isosceles, we have:
<CAD ≅ <BAD (definition of an angle bisector)
CD ≅ BD (definition of a midpoint)
AC ≅ AB (congruent sides of an isosceles)
<ACD ≅ <ABD (congruent internal angles of an isosceles)
<ADC ≅ <ADB (definition of right angle)
Therefore it can be concluded that;
ΔABC is an isosceles triangle (Angle-Side-Side theorem)
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decide whether the function is a polynomial function. If so right it in standard form and state it’s degree type in leading coefficient if so write it in standard form and state its degree type in leading coefficient P(x)=-3x^2+10-4x
Answers
For the polynomial p(x) = -3x² - 4x + 10, the degree is 2 and the leading coefficient is -3
What is an polynomial?Polynomials consist of exponents of variables and numbers forming an equation using operations of addition and subtraction.
Polynomial is an expression composed of variables, constants and exponents combined using mathematical operations such as addition, subtraction, multiplication
Given the polynomial:
p(x) = -3x² + 10 - 4x
Rewriting the polynomial in standard form is done by rearranging based on exponents. Hence:
p(x) = -3x² - 4x + 10
The degree is 2 (x²) and the leading coefficient is -3(-3x²)
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A stack of identical 8-centimeter-by-10-centimeter rectangular playing cards is sitting on a table. The stack is 1 centimeter high and has a volume of 80 cubic centimeters. The table is bumped and the stack of cards is shifted so that the stack is no longer a right rectangular prism, but all of the cards are still part of the stack.
Which of the following statements are true of the shifted stack of cards? Select all that apply.
A) The shifted stack of cards has a volume of 80 cubic centimeters because it has the same base area and height.
B) The area of a card at any location in the stack remains the same.
C) The width of the stack from the leftmost edge to the rightmost edge will remain 10 centimeters because the volume is the same.
D) Cavalieri’s principle cannot be applied to the volume of the stack because the stack is a rectangular prism instead of a cylinder.
E) The area of the middle card in the stack is 40 square centimeters because it is half of 80.
Answers
Answer: A, B, C.
If the stack of cards are shifted so it is not straight, it still has everything the same.
-2x+20y=-18
8x+10y=-18
Answers
Answer:
x = -1
y = -1
Step-by-step explanation:
This is a system of equations- the set up of the problem lends well to using the elimination method. There are always many ways of solving a system of equations, both in methods and different strategies within each method. The problem isn't necessarily complete but I can assume you're being asked to solve for x and y values.
divide the first equation by -2. this means we can use elimination to cancel out the y value, and is also our simplest option (rather than multiplying the second equation by -2.
-2x + 20y = -18 --> x - 10y = 9
x - 10y = 9
8x + 10y = -18
Using the elimination method to essentially add the parts of the equations together, this comes out to 9x = -9 , meaning x = -1 .
We can then return to our original equations, and substitute -1 for x (either equation will work, but the second one is simpler and therefore the better option).
8 (-1) +10y = -18
-8 + 10y = -18
10y = -10
y = -1
CHECKING
Substitute both x and y values back into the original equations to check them. the sides should be equal if our values are correct.
-2 (-1) + 20 (-1) = -18
Our first equation works: 2 - 20 = -18
8 (-1) + 10 (-1) = -18
The second equation works as well: -8-10= -18
i will rank brainliest!!
Answers
Answer:
WO = 10
NE = 90
NT = 42
Step-by-step explanation:
scale factor of 6
Toss a coin 10 times and record how many times you tossed heads.
a) What is your experimental probability of tossing heads?
b) What is the theoretical probability of tossing heads?
c) Compare the two probabilities and determine if you are considered to be
"lucky" at tossing heads.
d) If you were to toss the coin 100 times, what would you expect the
experimental probability of heads to be? Defend your answer.
Answers
To solve this we must be knowing each and every concept related to probability and its calculations. Therefore, the probability of tossing heads is 0.000976.
What is probability?Probability is the branch of mathematics concerned with the outcomes of random occurrences. Probability refers to the chance or potential of an outcome. It describes the likelihood of a specific occurrence occurring.
Probability denotes the possibility of something happening. It is a statistical discipline that deals only with probability of such a random event. The number ranges from 0 to 1, with 0 being an improbable event and 1 representing a certain event.
P(getting heads on one toss) = 1/2
P(getting all heads in 10 tosses)=(1/2)¹⁰
=1/1024
=0.000976
Therefore, the probability of tossing heads is 0.000976.
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Donald has xxx twenty-dollar bills and 111 ten-dollar bill. How much money does Donald have? Write your answer as an expression.
Answers
Answer:
20x + 10
Step-by-step explanation:
Given that :
Number of $20 bill = x
Number of $10 bill = 1
Total amount of money can be expressed as :
Σ(Value of bill * number of bill)
Hence,
($20 * x) + ($10 * 1)
20x + 10
The expression for the amount of money Donald has is : 20x + 10
the sum of 8 times a number and 6 is 3
Answers
Answer:
Sum means '+'
is means '='
a number means 'x'
3x + 6 = 8
I hope this helped!
Because it is
Does anyone know c & d please
Answers
c. 9-7 so 10^2
d. 8-1 so 5^7
Answer:
c = 100 or 10^2
d = 3125 or 5^5
Step-by-step explanation:
c. the answer for C is 10^2 because you just subtract the exponents same goes for d.
. The ratio of the area of circle A to the area of circle B is 12/5. What is the ratio of their circumferences?
Answers
Answer:
1.5
Step-by-step explanation:
a : b = 1 : 12/5
Area of a circle = πr²
Where : = π = pi = 22/7
R = radius
Let the radius of circle a = 1
Area of circle A = 1π
Radius of circle A = square root of 12/5 = 1.5
The circumference of a circle = 2nr
n = 3.14
circumference of circle A = 2 x n x 1 = 2n
circumference of circle B = 2 x n x 1.5 = 3n
ratio of circumference = 3n / 2n = 1.5
483000 in standard form
Answers
Answer:
483000
Step-by-step explanation:
To write a linear expression in standard form, rearrange the terms in alphabetical order.
Answer:
48300000
We can write the above number as
4.83 x 10000000
=4.83 x 10 ^7
How is 0.1363636363636363636... written as a fraction in simplest form?
.
Answers
Answer:
3/22
Step-by-step explanation:
There's a very neat trick for this kind of problem.
First, choose a letter to represent the number.
n = 0.1363636...
Observe that there is a 2-digit block that repeats ("36"), but that block does not repeat immediately to the right of the decimal point. Do two muliplications, one to put the decimal point in front of the repeating block, the other to put the decimal point after the block.
10n = 1.363636...
1000n = 136.363636...
Here comes the cool part: subtract the first equation from the second.
990 n = 135 See? The repeating decimal parts, all lined up as they are, subtract to zeros.
Finally, n = 135/990 = 15/110 = 3/22
Perform the indicated operation. Be sure the answer is reduced.
2a + 1 5 2a-3
———— + — - ——— =
3a 4 6a^2
Answers
Explanation 34=23
please help me if you can! ( links= report )m
Answers
Answer:
Volume (V) = 2522.0 mm^3
Step-by-step explanation:
The volume of cylinder is :
V = π r 2 h
We know that the height (h) is 19.
We also know the radius (r) is 13/2 = 6.5
So,
V = π 6.5^2*19
V = 2522.0 mm^3
From midnight to 2:00 am, the temperature dropped 1.4 °c each hour. If the temperature at 2:00am was 11.2 °c, what was the temperature at midnight
Answers
The temperature at midnight as required to ve determined in the task content is; 14°C.
What is the temperature at midnight as required to be determined from the given information.According to the task content; the temperature was 11.2°C at 2 : 00am.
However, since the temperature dropped 1.4 °c each hour; we have that;
In the two hours between midnight and 2:00am, the total temperature drop is; 2 × 1.4°C = 2.8°C.
On this note, the temperature at midnight can be evaluated as; 11.2°C + 2.8°C = 14°C.
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PLEASEEEE HELP I WILL MARK BRAINLIST
Find the value of x such that the data set has the given mean.
102. 119. 107, 115, 106, x; mean 119
Answers
Answer:
Integer - 72
Decimal - 72.3
Answer:
.here is the answer ............
Which equation has 3 as a solution set *?
Answers
The equation 3x - 9 = 0 has 3 as a solution out of all the given equations in the options.
Check the solution of equation 3x - 9 = 0
3x - 9 = 0
3x = 9
x = 3
Check the solution of equation 4x - 3 = 0
4x - 3 = 0
4x = 3
x = 3/4
Check the solution of equation 5x - 10 = 0
5x - 10 = 0
5x = 10
x = 10/5
x = 2
Check the solution of equation 7x - 49 = 0
7x - 49 = 0
7x = 49
x = 49/7
x = 7
Thus, only 3x - 9 = 0 satisfy the solution x = 3.
Hence, the correct option is A.
--The given question is incomplete, the complete question is
''Which equation has 3 as a solution set?
A. 3x - 9 = 0
B. 4x - 3 = 0
C. 5x - 10 = 0
D. 7x - 49 = 0''--
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Please help!! I will give brainliest and no links!! Also please do it in a picture model “standard algorithm” please do both questions!
Find the quotient of 4,611 divided by 21.
Answers
Answer:
1. 219.571428571
2. 150.314285714
Approximately 3.4% of Americans are vegetarian. If we ask a random sample of 36 people, what is the probability that exactly 4 of them are vegetarian?
Answers
Answer:
0
Step-by-step explanation:
Given: 3.4% of Americans are vegetarian.
sample size = 36 people
Therefore, 3.4% of 36 = 1.224.
Hence, out of 36 people only 1.224 people which is approximately 1 is vegetarian.
So, the probability of exactly 4 people being vegetarian out of 36 people would be zero.
As out of 36 only 1 was vegetarian.
Hence, the correct answer would be 0
the ball rolls downhill, its kinetic energy increases and its potential energy ________
Maximum
Minimum
.
Answers
The Ball Rolls Downhill, It's Kinetic Energy Increases And It's Potential Energy Maximum.
Hope Helps! :)
[tex] \: \: [/tex]
Which triangles are congruent? 30° 110° A 30° 45° B 110° 40 C С
Answers
Answer:
It would be triangles A & C
Step-by-step explanation:
This is because all of the angles within triangle add up to 180, with this, you can do the following to find the missing sides:
Tri A:
180-110-30 = 40
Tri B:
180-45-30 = 105
Tri C:
180-110-40 = 30
When you do this, look at the angles of the triangles. You see that Triangle A with the angles 110, 30, and 40 all match with those seen in Triangle C.
Therefore, the two triangles are congruent.