Answer:
A)ΔXYZ ≅ ΔLMN
B)∠Y ≅ ∠M
C)∠X ≅ ∠L
F)XZ ≅ LN
Step-by-step explanation: correct on edge 2020
A reflected triangle is congruent to the original triangle with corresponding angles and sides being equal. However, the orientation changes such that ∠X corresponds to ∠L, ∠Y to ∠M, and ∠Z to ∠N in the reflected triangle. Similarly, side YZ corresponds to MN, not ML, and XZ corresponds to LN.
Explanation:In the subject of mathematics, specifically geometry, when you reflect a shape, the original shape and its image are congruent. This means they have the same size and shapes, but their orientation might differ. Therefore, the statement ΔXYZ ≅ ΔLMN is indeed true.
In terms of the specific angles, a reflection does not change their measures; it simply changes their orientations. Therefore, ∠X is congruent to ∠L, ∠Y is congruent to ∠M, and ∠Z is congruent to ∠N. However, the statement ∠Z ≅ ∠L is incorrect as Z corresponds to N, not L, in the reflected triangle.
Similarly, side lengths also remain the same in a reflection. Thus, XY corresponds to ML, YZ corresponds to MN and XZ corresponds to LN, making the statements YZ ≅ MN and XZ ≅ LN true. But the statement YZ ≅ ML is incorrect as YZ corresponds to MN, not ML, in the reflected triangle.
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if the customer's order came to $6.22 and he gave you $20.25 what is his change
Suppose there is exactly one index k such that a[k] = x. what is the expected number of indices into a that we must pick before we find x and random-search terminates?
what is the gcf of 12 78 and 90
Part I: Angle Sum Relationships
Arrange the three congruent triangles so that angles 1 and 3 are adjacent to one another, and angle 2 is adjacent to angles 1 and 3.
B. What do you notice about the three angles?
C. What do they appear to form?
D. What can you conclude about the sum of the angles in a triangle?
Answer with explanation:
→→The three Angles form a Linear pair.That is
⇒∠1+∠2+∠3=180°
→→When these three congruent triangles are joined they form a Trapezoid.
→→Sum of angles in a trangle is given by Angle sum property Axiom of triangle which states that sum of the angles in a triangle is 180°.
Two functions are represented in different ways. Function 1: y = 32x + 45 Function 2: x y 0 65 1 85 2 105 3 125 Which statements are true? Select each correct answer. Function 1 has a greater rate of change than function 2. Function 2 has a greater rate of change than function 1. Function 1 has a greater y-intercept than function 2. Function 2 has a greater y-intercept than function 1.
Answer:
Step-by-step explanation:
Function 1: y = 32x + 45 <- 45 is y-intercept
Function 2: x y 0 65 <- 65 is y-intercept
So Function 2 has a greater y-intercept than function 1.
Function 1: y = 32x + ... <- 32 is rate of change
Function 2: x y 0 65 1 85
rate of change = 85 - 65 = 20
So Function 1 has a greater rate of change than function 2.
Evaluate the expression 5a + 5b. Let a = -6 and b = -5.
amelia and 2 of her friends went out to lunch. each girl ordered exactly the same meal. the total cost 55.08, which included 8% sales tax. what was the price of each meal, not including tax?
Answer:
$16.8912
Step-by-step explanation:
We are given that Amelia and her two friends went out to lunch.
If each girl ordered exactly the same meal.
We have to find out the value of price of each meal without tax.
Total cost of meals=$55.08
Cost of 3 meals with tax=$55.08
Sales tax=8% of $55.08
8% of 55.08=[tex]\frac{8}{100}\times55.08[/tex]
8% of 55.08= $4.4064
Cost of 3 meals without tax=$55.08-$4.4064=$50.6736
Cost of each meal=[tex]\frac{50.6736}{3}=[/tex]$16.8912
Hence, the cost of each meal without tax=$16.8912
Which is the graph of f(x) = x2 – 2x + 3? Help its timed, also don't want an verified answers
to resolve this type of exercise you must in first place to verify The determinant of the function to know if it cuts to the x axis, with the following formula b^2-4ac, if this value is less than zero then the function , do not cut the x axis, now -(2)^2-4(1)(3) = -8, as this value is negative, it means that is less than zero nd the function do not cut the x axis
2) the graph cut the y axis eN Y = 3 for x= o, F(0) = 0+2*0+3 = 3
3) This is the graph
A camera manufacturer spends $2,100 each day for overhead expenses plus $9 per camera for labor and materials. The cameras sell for $14 each. a. How many cameras must the company sell in one day to equal its daily costs? b. If the manufacturer can increase production by 50 cameras per day, what would their daily profit be?
Morgan uses 1/4 of her supply of raisins to make trail mix and 3/8 of her supply of raisins to make cookies. If Morgan uses 5 pounds of raisins, how many pounds of raisins are in her supply?
There are 8 pounds of raisins in Morgan's supply.
Let us say there are 'a' pounds of raisins in her supply.
What is a fraction?Fraction is a manner to represent part of a whole.
Raisins used to make trail mix = 1/4 of a = 1/4 a
Raisins used to make cookies = 3/8 of a = 3/8 a
It is given that:
Morgan uses 5 pounds of raisins,
[tex]\frac{1}{4} a+\frac{3}{8} a=5[/tex]
[tex]\frac{5}{8} a = 5\\\\a=8[/tex]
Therefore, there are 8 pounds of raisins in Morgan's supply.
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Morgan's total supply of raisins is 8 pounds.
Let's denote the total supply of raisins by R. According to the problem, Morgan uses 1/4 of her supply to make trail mix and 3/8 of her supply to make cookies. Together, this amounts to a total of five pounds of raisins used.
We set up the equation to represent the total amount of raisins used:
1/4 R + 3/8 R = 5
We need to find a common denominator to combine the fractions. Here, the common denominator is 8:
(2/8) R + (3/8) R = 5
Combining the fractions gives:
(5/8) R = 5
To isolate R, we multiply both sides of the equation by the reciprocal of 5/8, which is 8/5:
R = 5 * 8/5
When we simplify, we get:
R = 8
So, Morgan's total supply of raisins is 8 pounds.
beth wants to buy shelves to hold 38 boxes of photos there is a shelf that will hold 8 boxes of photos beth calculates that 38/8=4 r6 how many shelves will beth need to hold all 38 photo boxes
What is the value of q when the solution contains 2.50×x10−3 m mg2+ and 2.00×10−3m co32−?
A right triangle has one side, s, and a hypotenuse of 12 meters. Find the area of the triangle as a function of s.
A) A(s) = 2s
144 - s2
B) A(s) = s
144 - s2
C) A(s) = 2s
12 - s2
D) A(s) = 12s
144 - s2
10)
The base of a ladder is placed 5 feet away from a 13 foot tall wall. What is the minimum length ladder needed to reach the top of the wall (rounded to the nearest foot)?
A) 12 ft
B) 13 ft
C) 14 ft
D) 15 ft
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Which expression is equivalent to
The equivalent expression is [tex]log(\frac{1}{2} ) -log_{12}8+log_{12}w[/tex]
Logarithms and indicesTo get the equivalent expressions for the given logarithmic function, we will use the following laws of logarithm:
Laws of logarithm[tex]logab=loga+logb\\ log(\frac{a}{b} )=loga -logb[/tex]Given the logarithmic function:
[tex]log_{12}(\frac{1/2}{8w}) [/tex]
This can be further expressed as:
[tex]log_{12}(\frac{1/2}{8w} )[/tex][tex]log_{12}(\frac{1/2}{8w} )=log\frac{1}{2}-log8w [/tex]
Using the product law of logarithm
[tex]log_{12}(\frac{1/2}{8w}) =log(\frac{1}{2} ) -log_{12}8+log_{12}w[/tex]
Hence the equivalent expression is [tex]log(\frac{1}{2} ) -log_{12}8+log_{12}w[/tex]
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Find the area of 7.1m. Round to the nearest tenth. Use 3.14.
A school table has 8 sides of equal lengths. if one side is 4 feet, what is the perimeter of the table?
Set A is the set of all positive multiples of 2 that are less than or equal to 20. Set B is the set of all positive multiples of 4 that are less than or equal to 20. How many elements are positive multiples of 4 that are less than or equal to 20, but are not positive multiples of 2?
[tex]12 \times 778 [/tex]
Final answer:
To multiply 12 by 778, one needs to perform the standard multiplication process. Multiplying each digit of 12 by 778 individually and then adding the results provides the final answer, which is 9336.
Explanation:
The student's question involves performing a multiplication operation, specifically 12 multiplied by 778. To solve this without a calculator, one can use a standard multiplication technique as follows:
Write down the two numbers, with 778 above 12.
First, multiply 2 (the rightmost digit of the lower number) by 778 to get 1556.
Next, multiply 1 (the leftmost digit of the lower number) by 778 and remember to add a zero at the end (because it represents the tens place), which gives us 7780.
Add the two results, 1556 and 7780, to get the final answer, which is 9336.
The result of 12 times 778 is 9336.
Find the lowest common multiple of 28 and 210
Answer:
420
Step-by-step explanation:
210 = 14×15
28 = 14×2
The LCM wil be the product of unique factors;
... LCM = 14×15×2 = 420
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#3 Q. the diagrams solve please
The following figures were entered on a checking-account record. Add or subtract them to keep the running total correct. Balance forward $643.72 Check #5734 to Lupe's Market, for food, for $68.29 $ Deposit of $341.80, a paycheck $ Check #5735 to Broadmoor Community Center in the amount of $34.18 $ Check #5736 to Bill Baughman, for plumbing services, for $60.00 $
It is given Balance forward $643.72 in the account. An amount of $68.29 is given to to Lupe's Market, for food. In the account a Deposit of $341.80 is made.A Cheque of $34.18 is given to Broadmoor Community Center .Charge for for plumbing services, is $60.00 .
Transactions made in the account = $643.72-68.29+341.80-34.18-60.00
Amount left in the account =$823.05.
Answer:
Running Total = $823.05
Step-by-step explanation :
When the figures were entered on a checking account record to keep the running total correct :
Balance forward = $643.72
Check #5734 to Lupe's Market for food = $68.29
A deposit = $341.80
Check #5735 to Broadmoor Community Center = $34.18
Check #5736 to Bill Baughman for plumbing services = $60.00
Total Transactions :
643.72 - 68.29 + 341.80 - 34.18 - 60 = $823.05
Total balance = $823.05
Find the value of x. If necessary, round your answer to the nearest tenth. The figure is not drawn to scale.
Find the GCF of the following terms.
16xy^3 , 20x^2y^2 , -4x^2y
What number is 8.0007 • 10 ^6 in scientific notation?
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The value of (a-1)+a^2-b^2/1-ab+2(a-b)/2b when a=2 and b=-1 is ?
Final answer:
The value of the expression (a-1) + a^2 - b^2 / (1-ab) + 2(a - b) / (2b) when a=2 and b=-1 is -5/3.
Explanation:
To calculate the given expression when a=2 and b=-1, we first plug these values into the expression, which is (a - 1) + a^2 - b^2 / (1 - ab) + 2(a - b) / (2b). After substitution, it simplifies as follows:
The term (a - 1) becomes (2 - 1), which equals 1.
The term a^2 - b^2 becomes 2^2 - (-1)^2, which simplifies to 4 - 1 = 3.
The denominator 1-ab becomes 1 - (2)(-1), which equals 1 + 2 = 3.
The term 2(a - b) becomes 2(2 - (-1)), which is 2(3) = 6.
The denominator 2b becomes 2(-1), which is -2.
Now, the full expression simplifies to (1 + 3) / 3 + 6 / -2. Simplifying further, we get 4 / 3 + (-3), which equals to 4/3 - 3/1. After finding a common denominator, the expression simplifies to (4 - 9) / 3, which is -5/3.
Therefore, the value of the expression when a=2 and b=-1 is -5/3.
stumpy the skeleton goes for a bike ride every night in the cemetery. He rides 1/2 way around the cemetery and stops. Stumpy then bikes 3/4 of the way around before stopping again. he finishes his ride by biking another 3/8. how far around the cemetery does stumpy bike?
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