What is the reflexive Theorem?
Answers
The reflexive theorem of congruence states that any geometric figure is congruent to itself.
Reflexive property works on a set when every element of the set is related to itself. The reflexive property of equality is applied to the set of numbers which states that every number is equal to itself. On the other hand, the reflexive property of congruence states that any geometric figure is congruent to itself.
The reflexive property of congruence in geometry states that every angle, every line, and every figure/shape is congruent to itself. This property is generally used in proofs such as proving two triangles are congruent and in proofs of parallel lines. If two triangles share a common side or a common angle, then we can use the reflexive property of congruence to prove the two triangles are congruent.
Consider that the two triangles ABC and CDA are joined together and have a common side AC. To show the two triangles are congruent, we are given AB = AD and BC = CD. Using the reflexive property of congruence, since every line segment is congruent to itself, we have AC = AC. So, the two triangles are congruent by the SSS congruence rule.
Thus, the reflexive theorem of congruence states that any geometric figure is congruent to itself.
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Related Questions
Simplify the following expressions using the laws of exponents.
Answers
Answer:
Salmat po sa lahat
Step-by-step explanation:
ako ay from pilipinas na padpad lng dito ^_^
On June 3, A Ltd. sold to B. Ltd. goods of $10,000 with terms of 2/10,n/60, f.o.b. destination. An invoice totaling $100, terms n/30, was received by the appropriate party on June 8 from the Dhaka Transport Service for the freight cost. On June 5, B returned goods of $500 as they were not sent as per the specification. A issued a credit memo in this regard. The freight cost on the returned merchandise was $20, paid by the seller on June 7. On June 10, A received a check for the balance due from B. On June 13, A Ltd. sold to Y. Ltd. goods of $15,000 with terms of 2/10,n/30, f.o.b. shipping point. An invoice totaling $200, terms n/30, was received by the appropriate party on June 18 from the Taki Transport Service for the freight cost. On June 25, A received a check for the balance due from Y. Instructions: Prepare journal entries in the books of A Ltd. under net method.
Answers
1. The initial sale to B. Ltd. is recorded by debiting Accounts Receivable and crediting Sales.
2. The return of goods by B. Ltd. is recorded by debiting Sales Returns and Allowances and crediting Accounts Receivable.
3. The payment for freight on the returned merchandise is recorded by debiting Freight Out and crediting Cash.
4. The receipt of payment from B. Ltd. is recorded by debiting Cash, crediting Sales Discount (2% of $10,000), and crediting Accounts Receivable.
5. The sale of goods to Y. Ltd. is recorded by debiting Accounts Receivable and crediting Sales.
6. The receipt of payment from Y. Ltd. is recorded by debiting Cash, crediting Sales Discount (2% of $15,000), and crediting Accounts Receivable.
To prepare journal entries in the books of A Ltd. using the net method, we need to record the relevant transactions. Here are the journal entries for the given transactions:
1. June 3:
Accounts Receivable - B. Ltd. $10,000
Sales $10,000
To record the sale of goods to B. Ltd.
2. June 5:
Sales Returns and Allowances $500
Accounts Receivable - B. Ltd. $500
To record the return of goods by B. Ltd.
3. June 7:
Freight Out $20
Cash $20
To record the payment for freight on returned merchandise.
4. June 10:
Cash $9,780
Sales Discount $200
Accounts Receivable - B. Ltd. $10,000
To record the receipt of payment from B. Ltd. after deducting the sales discount (2% of $10,000).
5. June 13:
Accounts Receivable - Y. Ltd. $15,000
Sales $15,000
To record the sale of goods to Y. Ltd.
6. June 25:
Cash $14,760
Sales Discount $240
Accounts Receivable - Y. Ltd. $15,000
To record the receipt of payment from Y. Ltd. after deducting the sales discount (2% of $15,000).
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2x - 5y =-7 , 4x+5y=1
solve the simultaneous equation please with solution
Answers
2x−5y =−7
2x−5y+5y =−7+5y (Add 5y to both sides)
2x=5y−7
2x/2 = 5y−7/2 (Divide both sides by 2)
x=5/2 y+ −7/2
I gave up
X=-1
Y=1
To qualify for the car race, Christine needed to drive 100 miles under 43 minutes. She completed the first lap in 412 minutes. At this rate, what will be her total time for the 100-mile qualifying distance?
Answers
Answer: 41,200 minutes
Step-by-step explanation: 412 x 100 is 41,200, so she need 41,200 minutes to comeplete the 100-mile drive.
Find the value of h of the parallelogram.
Answers
Answer:
112.5
Step-by-step explanation:
multiply 15 by 7.5
Solving Exponential Equations with Logarithms Solve each equation. Round your answers to the nearest ten-thousandth.
1) 3^b = 17 2) 12^r= = 13
3) 9^n = 49 4) 16^v = 67
5) 3^a = 69
Answers
Answer:
1. =2.5759 ; 2. =0.8290 ; 3. =2 ; 4. =1.7959 ; 5. = 3.9138
Step-by-step explanation:
1. Taking logarithm with base 3 on both sides, we get:
b = log₃(17)
b ≈ 2.5759
2. Taking logarithm with base 12 on both sides, we get:
r = log₁₂(13)
r ≈ 0.8290
3. Taking logarithm with base 9 on both sides, we get:
n = log₉(49)
n = 2
4.Taking logarithm with base 16 on both sides, we get:
v = log₁₆(67)
v ≈ 1.7959
5.Taking logarithm with base 3 on both sides, we get:
a = log₃(69)
a ≈ 3.9138
Please help! NEED FAST Will give brainliest
Answers
Answer:
25+3b/4
Step-by-step explanation:
9+7 because 9 is how many miles the first guy biked in 45 minutes and the 7 is how many miles apart they were in the first place.
9+7+9+3b/4
Step-by-step explanation:
simplify (2d¹²)⁴
please help fast D:
Answers
Answer:
hey, i tried my best with this. lmk if its correct.
Step-by-step explanation:
(its the bold answer btw)
Answer:
\(16d^{48}\)Step-by-step explanation:
\((2d^{12})^4 = 2^4*d^{12*4} = 16d^{48}\)Properties used:
\((ab)^c = a^cb^c\)\((a^b)^c = a^{bc}\)Linear function K passes through points (-3, 7) and (3, 3). What is the rate of change of function K?
A -3/2
B-2/3
C 3/2
D 2/3
Answers
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{3}-\stackrel{y1}{7}}}{\underset{\textit{\large run}} {\underset{x_2}{3}-\underset{x_1}{(-3)}}} \implies \cfrac{-4}{3 +3} \implies \cfrac{ -4 }{ 6 } \implies - \cfrac{2}{3}\)
If you buy lean ground beef and it is listed as 85% lean, how many grams of fat are in 0.75lb of this product? ( 1lb=454 g)
Answers
In 0.75lb (340g) of 85% lean ground beef, there are approximately 72 grams of fat.
To calculate the grams of fat in 0.75lb of 85% lean ground beef, we need to determine the fat content based on the percentage given. The term "85% lean" indicates that 85% of the weight of the ground beef is lean meat, while the remaining 15% is fat.
First, we convert 0.75lb to grams. Since 1lb is equal to 454g, multiplying 0.75lb by 454g/lb gives us 340g.
Next, we calculate the fat content by multiplying the weight of the ground beef (340g) by the percentage of fat (15%).
340g * 0.15 = 51g
Therefore, in 0.75lb (340g) of 85% lean ground beef, there are approximately 51 grams of fat.
However, the question asks for the fat content, so we subtract this value from the total weight to find the grams of fat:
340g - 51g = 289g
Therefore, there are approximately 72 grams of fat in 0.75lb (340g) of 85% lean ground beef.
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A supermarket increases the prices of some grocery items by 10%.
(a) What will be the new price of a loaf of bread marked at $1.80.
(b) What will the price of a packet of cereal that has a price tag of $4.20, but already discounted by 50%
Answers
Answer:
(a) $1.98
(b) $6.30
Step-by-step explanation:
(a)
The new value =
1.80 + The value of the percentage increase =
1.80 + (10% × 1.80) =
1.80 + 10% × 1.80 =
(1 + 10%) × 1.80 =
(100% + 10%) × 1.80 =
110% × 1.80 =
110 ÷ 100 × 1.80 =
110 × 1.80 ÷ 100 =
198 ÷ 100 =
1.98
Calculate the actual change (the absolute difference) between the two values
The actual change =
The new value - 1.80 =
1.98 - 1.80 =
0.18
Proof of calculation.
Calculate the percentage increased value...
... and see if we get as a result...
... the actual change (the absolute difference).
Calculate the percentage increased value:
The value of the percentage increase =
10% × 1.80 =
10 ÷ 100 × 1.80 =
10 × 1.80 ÷ 100 =
18 ÷ 100 =
0.18
So we have proven that the calculations are correct.
For positive numbers
The actual change =
The value of the percentage increase
The answer:
1.80 increased by 10% = 1.98
The actual change:
1.98 - 1.80 = 0.18
(b)
Calculate the New value
The new value =
42.0 + The value of the percentage increase =
4.20 + (50% × 4.20) =
4.20 + 50% × 4.20 =
(1 + 50%) × 4.20 =
(100% + 50%) × 4.20 =
150% × 4.20 =
150 ÷ 100 × 4.20 =
150 × 4.20 ÷ 100 =
63,000 ÷ 100 =
630
(but its as a dollar so its 6.30)
Calculate the actual change (the absolute difference) between the two values
The actual change =
The new value - 4.20 =
6.30 - 4.20 =
2.10
Proof of calculation.
Calculate the percentage increased value...
... and see if we get as a result...
... the actual change (the absolute difference).
Calculate the percentage increased value:
The value of the percentage increase =
50% × 4.20 =
50 ÷ 100 × 4.20 =
50 × 4.20 ÷ 100 =
21,000 ÷ 100 =
210
(but its as a dollar so its 2.10)
So we have proven that the calculations are correct.
For positive numbers
The actual change =
The value of the percentage increase
The answer:
4.20 increased by 50% = 6.30
The actual change:
6.30 - 4.20 = 2.10
i need to know how to find x and the exact degree measure of the exterior angle.
Answers
Answer:
x = 35
exterior angle measure = 82°
Step-by-step explanation:
The angles denoted by (2x + 12) and (3x - 7) are a linear pair of angles formed at the vertex created by extending one side of the quadrilateral
Therefore they are supplementary angles whose sum = 180°
Therefore
2x + 12 + 3x - 7 = 180
2x + 3x + 12 - 7 = 180
5x + 5 = 180
Dividing by 5:
5x/5 + 5/5 = 180/5
x + 1 = 36
x = 36 - 1 = 35
The exterior angle is the one which has the expression 2x + 12
Plug in x = 35 to get
exterior angle measure = 2(35) + 12 = 70 + 12 = 82°
Please answer my question quickly.
Answers
Answer:
b=sqrt7
Step-by-step explanation:
16=9+b^2
Please help, worth 30 points!
Part A: How many degrees are in a circle, and how many radians are in a circle?
Part B: From the information in Part A, show how to find the conversion factor needed to convert from radians to degrees.
Part C: Convert radians to degrees. Give your answer to the nearest thousandth of a degree
Answers
a)
The number of degrees in a circle is of: 360º.The number of radians is of: 2π.b) The conversion factor from radians to degrees is of: 360/2π
c) The conversion from radians to degrees is given as follows: Multiplying 360 by the measure in radians and then dividing by 2π.
What are the measures in a circle?A circle is composed by one entire lap, hence the angle measures are given as follows:
360 degrees.2π radians.Then the conversion from radians to degrees is given by the rule of three as follows:
360 degrees - 2π radians.
x degrees - 1 radian.
Applying cross multiplication, the conversion factor is given as follows:
2πx = 360
x = 360/2π
Hence the conversion is done multiplying 360 by the measure in radians and then dividing by 2π.
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the time series component that exhibits a repeating pattern over successive periods, often one-year intervals is called a(n) component. trend irregular seasonal cyclical
Answers
The time series component that exhibits a repeating pattern over successive periods, often one-year intervals is called the seasonal component.
The seasonal component is that portion of the variations in a time arrangement representing intra-year changes that are more or less steady year after year with regard to timing, direction, and magnitude. The seasonal component is additionally alluded to as the seasonality of a time series. The seasonal component reflects “normal” varieties that repeat each year to the same extent.
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The time series component that exhibits a repeating pattern over successive periods, often one-year intervals is called
A. a cyclical component
B. a trend component.
C. seasonal component.
D. irregular component.
A college cafeteria wants to know which lunch food is least popular. Which of the following groups should be interviewed to ensure that the survey results will not be misleading?
A. students who go out for lunch
B. students who bring their lunch
C. students who eat in the cafeteria
D. students’ families
Answers
Answer:
c. students who eat in the cafeteria
Step-by-step explanation:
it wouldnt help to include people who dont eat the food and therefore wont have an honest opinion about the food. They have to talk to the people who do eat the food, which are those who eat in the cafeteria
The expression 35+45x represents a trains distance in miles from a terminal after X hours of travel
How far was the train from the terminal at the beginning of the journey?
A.) 35
B.)45
C.)10
D.)80
Answers
Answer:
35
Step-by-step explanation:
If it hasn't started X would be 0 so it be 35+45(0) that would give you 35.
a jar contains black and white marbles. two marbles are chosen without replacement. the probability of selecting a black marble and then a white marble is 0.34, and the probability of selecting a black marble on the first draw is 0.47. what is the probability of selecting a white marble on the second draw, given that the first marble drawn was black?
Answers
The probability of selecting a white marble on the second draw, given that the first marble drawn was black, is approximately 0.7234.
Conditional probability is the probability of an event occurring given that another event has already occurred
Let B denote the event of selecting a black marble on the first draw, and W denote the event of selecting a white marble on the second draw. We are given that P(B) = 0.47 and P(B∩W) = 0.34.
To find P(W|B), we can use the formula for conditional probability
P(W|B) = P(B∩W) / P(B)
Substituting the given values, we get
P(W|B) = 0.34 / 0.47
Simplifying this expression, we get
P(W|B) ≈ 0.7234
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How exactly would i find the other three angles?
Answers
Answer:
Opposite interior angles of a rhombus are congruent (the same). All 4 of them equal up to 360
Using the backwards pricing method, how much would you have for labor if the MSRP of a garment was $225? O $28.50 O $27 O $33 O No answer text provided.
Answers
Using the backwards pricing method, the labor cost for a garment with an MSRP of $225 would be $27.
The backwards pricing method is used to determine the cost of each element that goes into the production of a product by working backward from the final selling price. The steps involved in this method are:
1. Start with the MSRP: $225
2. Determine the retail markup percentage, which is typically around 50%. Subtract this percentage from the MSRP to find the wholesale price: $225 * (1 - 0.5) = $112.50
3. Determine the wholesale markup percentage, which is typically around 30%. Subtract this percentage from the wholesale price to find the cost of goods sold (COGS): $112.50 * (1 - 0.3) = $78.75
4. Now, we have to distribute the COGS among the various components that go into the production of the garment, such as materials, labor, and overhead. Assuming labor constitutes 35% of the COGS, calculate the labor cost: $78.75 * 0.35 = $27.56, which can be rounded down to $27.
Using the backwards pricing method, the labor cost for a garment with an MSRP of $225 would be approximately $27.
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On the double number line, 3 minutes corresponds to 180 beats.
0 ? 120 180 240 300
Beats:
Minutes:
0 1
2
3
4
5
How many beats are there in 3 minutes? Type your answer as a number.
Answers
Three minutes equal 180 beats on the double number line. three minutes of 270 beats 2:180=90 , 3:270=90
How many beats are in 3 minutes ?In music, a beat is a pulse that occurs repeatedly. Simple meters are those in which the beat first breaks into two, and subsequently into four. There are two beat groups in double meters, three beat groups in triple meters, and four beat groups in quadruple meters.
For double, triple, and quadruple meters, there are several conducting patterns. One group of beats equals one measure (duple, triple, or quadruple). Bar lines divide the measures. Simple meters' time signatures specify two things: the beat unit, or note value that represents the beat, and the number of beats in each measure (the top number). Notes are graphically grouped by beat and connected by a beam.
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If the heights of 99.7% of American men are between 5' 0" and 7' 0", what is your estimate of the standard deviation of the height of American men?
Answers
Answer:
6'0
Step-by-step explanation:
Evaluate the function.
ƒ(x) = 2x + 1
f(x) = 7
Answers
Answer:
Read below
Step-by-step explanation:
Step 1: Multiply 2 by x: 2x
Step 2: Add 1 to 2x: 2x + 1
Step 3: Substitute x with 7: 2(7) + 1
Step 4: Multiply 2 by 7: 14 + 1
Step 5: Add 1 to 14: 14 + 1 = 15
Help please I’m not sure what I’m supposed to do
Answers
Answer:
6r & 30
Step-by-step explanation:
5(6r+6)
=5*6r+5*6
=30r+30
A 90 degree clockwise rotation moves a point to the exact same location as what other rotation?
Answers
Answer:
12+hd
Step-by-step explanation:
Answer:
Rule : When we rotate a figure of 90 degrees clockwise, each point of the given figure has to be changed from (x, y) to (y, -x) and graph the rotated figure. Let us look at some examples to understand how 90 degree clockwise rotation can be done on a figure.
1 Answer. No, it is not possible. If you have a rectangle that is 2 units tall and 1 unit wide, it will be the same way up after a horizontal or vertical reflection. You can rotate a rectangle through 90 degrees using 2 reflections, but the mirror line for one of them should be diagonal.
Step-by-step explanation:
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Karen works at a call center charged with securing donations for a charity. Today she managed to convince only about 18% of the people she has called to donate. If she's able to convince 12 of the next 30 people she calls to make donations she'll be just over the 25% mark. How many calls has she made today so far?
Answers
Karen has made 76 calls today to secure donations at the call center.
Let's assume that Karen has made x calls so far today. According to the information given, she has convinced 18% of the people she has called to donate. This means that 18% of x calls have resulted in successful donations, which can be written as 0.18x.
Karen wants to be just over the 25% mark by convincing 12 out of the next 30 people she calls to donate. This means that the total number of successful donations should be slightly more than 25% of the total number of calls made. Representing this mathematically, we have (0.18x + 12)/(x + 30) > 0.25.
Simplifying the inequality, we have 0.18x + 12 > 0.25(x + 30). Solving for x, we find that x > 76.
Therefore, Karen has made 76 calls so far today to secure donations at the call center in order to be just over the 25% mark by convincing 12 out of the next 30 people she calls to donate.
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What are the answers? I’m very confused! Emergency!!
Answers
The roots are x = 4 and 2
I'm really sorry if this is wrong but basically 3x4 = 12 and 12x which they both could be mutiplied by 2 to get 24
Calculate minimum and maximum frequency for acoustic
and optic mode.
( short question (
Answers
The specific range depends on the material properties and the energy levels involved.
The minimum and maximum frequencies for the acoustic and optic modes depend on the specific system or material under consideration. However, I can provide some general information.
Acoustic Mode:
The acoustic mode refers to the propagation of sound waves or vibrations in a material. In a solid, the acoustic mode can have different types, such as longitudinal and transverse modes.
The minimum frequency for the acoustic mode is typically determined by the size and physical properties of the material. In general, it can be close to zero for macroscopic objects or materials with low elasticity.
The maximum frequency for the acoustic mode depends on factors such as the speed of sound in the material and the characteristic dimensions of the system. It can range from a few kilohertz to several gigahertz.
Optic Mode:
The optic mode is related to the interaction of light with a material. It typically refers to the vibrations of charged particles (such as electrons) in a solid or the oscillations of electric or magnetic fields associated with photons.
The minimum frequency for the optic mode is typically determined by the energy gap between electronic states in the material. For example, in a semiconductor, the minimum frequency is usually in the infrared range.
The maximum frequency for the optic mode is not strictly defined, as it can extend into the terahertz, infrared, visible, ultraviolet, X-ray, and even gamma-ray regions. The specific range depends on the material properties and the energy levels involved.
It's important to note that these frequency ranges are general guidelines and can vary depending on the specific system or material being studied.
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When testing a right-tailed hypothesis using a significance level of 0.025, a sample size of n=13, and with the population standard deviation unknown, what is the critical value? H0: u≥2 hours and H1:u<2 hours H0:u<2 hours and H1:u≥2 hours H0:u=2 hours and H1:u=2 hours H:u≤2 hours and H1:u>2 hours
Answers
The correct answer is a. H0: u≥2 hours and H1:u<2 hours. When testing a right-tailed hypothesis using a significance level of 0.025, a sample size of n=13, and with the population standard deviation unknown, the critical value is as follows:
To determine the critical value, we need to use the t-distribution since the population standard deviation is unknown.
Using a t-distribution table or calculator with 12 degrees of freedom (n-1), a one-tailed test, and a significance level of 0.025, the critical value is 2.1604.
If the test statistic is greater than or equal to this value, we can reject the null hypothesis in favor of the alternative hypothesis, which is a right-tailed hypothesis.
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In \triangle GHI,△GHI, \overline{IG}\cong \overline{HI} IG ≅ HI and \text{m}\angle H = 51^{\circ}.m∠H=51 ∘ . Find \text{m}\angle G.m∠G.
Answers
The measure of the angle ∠G of the isosceles triangle will be 51°.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The two triangular legs and their opposing angles are congruent in an isosceles triangle.
In triangles △GHI, IG ≅ HI, and the measure of the angle ∠H = 51°. Then the measure of the angle ∠G will be given as,
The two sides of the triangle △GHI will be congruent. Then the triangle is known as an isosceles triangle.
If IG ≅ HI, then the measure of the angle ∠G ≅ ∠H.
The measure of the angle ∠G of the isosceles triangle will be 51°.
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