To find the total multiply the sale price by 1 + tax rate.
Total = 20 x 1.05
Total = $21.00
what is the minimum amount of real solutions a quintic polynomial can have
Answer:
1
Step-by-step explanation:
I'm not sure if this is right, but I think it's 1. If you think about the simplest quintic polynomial, x^5, and set it to any real number, you'll always get 1 solution. I don't think it's possible to have 0 or no real solutions. Hope this helps!
What is the value of x in the product of powers below? 6 Superscript 9 times 6 Superscript x = 6 squared Negative 11 negative 7 7 11 NEED IT QUICK
Answer:
-7
Step-by-step explanation:
(6^9)(6^x) = 6^2
Taking logarithms to the base 6, we have ...
9 + x = 2
x = -7 . . . . . subtract 9
Answer:
-7
Step-by-step explanation:
Find the sum
(2x−6)+4(x−3)
ANSWER QUICKLY PLEASE!!
Answer:
6x - 18
Step-by-step explanation:
(2x - 6) + 4(x - 3) =
= (2x - 6) + 4x - 12 =
= 2x - 6 + 4x - 12 =
= 2x + 4 - 6 - 12 =
= (2x + 4x) + (-6 - 12) =
= 6x - 18
Which linear function has the same y-intercept as the one that is represented by the graph?
On a coordinate plane, a line goes through points (3, 4) and (5, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is labeled y with entries negative 26, negative 14, 34, 46.
The linear function y = 6x +10 has the same y intercept as the one that is represented by the graph. Option D is correct.
What are functions?Functions is the relationship between sets of values. And shows their characteristic curve as well.
Here, the curve shows in the graph as y intercept of 10 on y axis, is linear function. From options we have only one option that show the same y intercept y = 10.
That linear function ⇒ y =6x+18 (obtained from option D).
Thus, the linear function y = 6x +10 has the same y intercept as the one that is represented by the graph.
learn more about function here:
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Answer:
The linear function y = 6x +10 has the same y intercept as the one that is represented by the graph. Option D is correct.
Step-by-step explanation:
What is the measure of the whole angle?
Answer:
130
Step-by-step explanation:
60° + 70° = x
In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we took away 60 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.
60 + 70 = x
→ Simplify
130 = x
x = 130°
Please answer this correctly
V3
The angle 01 is located in Quadrant III, and sin(01) =
2
What is the value of cos(01)?
Express your answer exactly.
Question:
The angle [tex] \theta_1[/tex] is located in Quadrant III, and [tex] sin(\theta_1) = - \sqrt{\frac{3}{2}} [/tex].
What is the value of [tex] cos(\theta_1)[/tex] ?
Express your answer exactly. [tex] cos(\theta1) = [/tex] ________
Answer:
[tex] cos(\theta_1) = - \frac{1}{2} [/tex]
Step-by-step explanation:
Given:
[tex] sin(\theta_1) = - \sqrt{\frac{3}{2}} [/tex]
Since the angle [tex] \theta_1[/tex] is located in Quadrant III, we have:
[tex] sin(\theta_1) = sin(\pi + \frac{\pi}{3}) [/tex]
[tex] \theta_1 = \pi + \frac{\pi}{3}[/tex]
[tex] \theta_1 = \frac{4 \pi}{3}[/tex]
Thus, [tex] cos(\theta_1) [/tex] =
[tex] cos(\theta_1) = cos(\pi + \frac{\pi}{3}) [/tex]
[tex] cos(\theta_1) = -cos(\frac{\pi}{3}) [/tex]
[tex] cos(\theta_1) = - \frac{1}{2} [/tex]
What’s the correct answer for this? Which value is equivalent to sin 20?
Answer:
So the value of sin20 = 0.342
Step-by-step explanation:
The value proportional or equivalent to sin20 can be gotten from calculator value directly or from a graph.
But right niw the most suitable answer is the value for the calculator because its difficulty and complications have been reduced
So the value of sin20 = 0.342
Leg of the right triangle is three units in the hypotensive is seven units what is the length in units of the other leg of the triangle
Answer:
2[tex]\sqrt{10}[/tex]
Step-by-step explanation:
You can get this by using the Pythagorean Theorem
a^2 + b^2 = c^2
where a and b are the legs and c is the hypotenuse
3^2 + b^2 = 7^2
9 + b^2 = 49
b^2 = 40
sqrt of both sides
b = [tex]\sqrt{40}[/tex]
b = 2[tex]\sqrt{10}[/tex]
if this helps please give me brainliest
An advertising executive claims that there is a difference in the mean household income for credit cardholders of Visa Gold and of MasterCard Gold. A random survey of 1010 Visa Gold cardholders resulted in a mean household income of $50,930$ 50,930 with a standard deviation of $9500$ 9500. A random survey of 66 MasterCard Gold cardholders resulted in a mean household income of $45,720$ 45,720 with a standard deviation of $9800$ 9800. Is there enough evidence to support the executive's claim? Let μ1μ1 be the true mean household income for Visa Gold cardholders and μ2μ2 be the true mean household income for MasterCard Gold cardholders. Use a significance level of α=0.01α=0.01 for the test. Assume that the population variances are not equal and that the two populations are normally distributed.
Answer:
We conclude that there is no difference in the mean household income for credit cardholders of Visa Gold and of MasterCard Gold.
Step-by-step explanation:
We are given that a random survey of 10 Visa Gold cardholders resulted in a mean household income of $50,930 with a standard deviation of $9500.
A random survey of 66 MasterCard Gold cardholders resulted in a mean household income of $45,720 with a standard deviation of $9800.
Let [tex]\mu_1[/tex] = true mean household income for Visa Gold cardholders.
[tex]\mu_2[/tex] = true mean household income for MasterCard Gold cardholders.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu_1=\mu_2[/tex] {means that there is no difference in the mean household income for credit cardholders of Visa Gold and of MasterCard Gold}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu_1\neq \mu_2[/tex] {means that there is a difference in the mean household income for credit cardholders of Visa Gold and of MasterCard Gold}
The test statistics that would be used here Two-sample t test statistics as we don't know about the population standard deviations;
T.S. = [tex]\frac{(\bar X_1-\bar X_2)-(\mu_1-\mu_2)}{s_p\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } }[/tex] ~ [tex]t__n__1-_n__2-2[/tex]
where, [tex]\bar X_1[/tex] = sample mean household income for Visa Gold cardholders = $50,930
[tex]\bar X_2[/tex] = sample mean household income for MasterCard Gold cardholders = $45,720
[tex]s_1[/tex] = sample standard deviation for Visa Gold cardholders = $9,500
[tex]s_2[/tex] = sample standard deviation for MasterCard Gold cardholders = $9,800
[tex]n_1[/tex] = sample of Visa Gold cardholders = 10
[tex]n_2[/tex] = sample of MasterCard Gold cardholders = 6
Also, [tex]s_p=\sqrt{\frac{(n_1-1)s_1^{2} +(n_2-1)s_2^{2} }{n_1+n_2-2} }[/tex] = [tex]\sqrt{\frac{(10-1)\times 9,500^{2} +(6-1)\times 9.800^{2} }{10+6-2} }[/tex] = 9,608.22
So, the test statistics = [tex]\frac{(50,930-45,720)-(0)}{9,608.22 \times \sqrt{\frac{1}{10} +\frac{1}{6} } }[/tex] ~ [tex]t_1_4[/tex]
= 1.05
The value of t test statistics is 1.05.
Now, at 0.01 significance level the t table gives critical values of -2.977 and 2.977 at 14 degree of freedom for two-tailed test.
Since our test statistic lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.
Therefore, we conclude that there is no difference in the mean household income for credit cardholders of Visa Gold and of MasterCard Gold.
a green and a red die are tossed. what is the probability that a 4 shows
on the green die and a 5 shows on the red die.
Answer:
1/36
Step-by-step explanation:
The probability of getting green is 1/6
and the probability of getting red is 1/6.
Now,we want to know the probability of getting red and green. In probability,the word 'and' means times.
So it would be;
1/6 times 1/6
= 1/36
Find the value of x in the
following parallelogram:
2x - 10
2x + 50
Answer:
the value of x = 35 ( NOT - 40 )
Step-by-step explanation:
In order to calculate the value of x in the following parallelogram: 2x - 10
2x + 50, we would have to calculate the following formula:
m<QPS+m<PQR=180°
According to the given data we have the following:
m<QPS=2x - 10
m<PQR=2x + 50
Therefore, 2x - 10+2x + 50=180
4x+40=180
x=140/4
x=35
The value of x is 35 because in a parallelogram sum of the two adjacent angles is equal to 180 degree
What is parallelogram?In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
As we know,
In a parallelogram sum of the two adjacent angles is equal to 180 degree
2x - 10 + 2x + 50 = 180
4x + 40 = 180
4x = 140
x = 35
Thus, the value of x is 35 because in a parallelogram sum of the two adjacent angles is equal to 180 degree
Learn more about the parallelogram here:
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Human visual inspection of solder joints on printed circuit boards can be very subjective. Part of the problem stems from the numerous types of solder defects (e.g., pad non-wetting, knee visibility, voids) and even the degree to which a joint possesses one or more of these defects. Consequently, even highly trained inspectors can disagree on the disposition of a particular joint. In one batch of 10,000 joints, inspector A found742that were judged defective, inspector B found745such joints, and1145of the joints were judged defective by at least one of the inspectors. Suppose that one of the 10,000 joints is randomly selected.
(a) What is the probability that the selected joint was judged to be defective by neither of the two inspectors? (Enter your answer to four decimal places.)
(b) What is the probability that the selected joint was judged to be defective by inspector B but not by inspector A? (Enter your answer to four decimal places.)
Answer:
a
The probability that the selected joint was judged to be defective by neither of the two inspectors is [tex]P(A' n B' ) = 0.8855[/tex]
b
The probability that the selected joint was judged to be defective by inspector B but not by inspector A is [tex]P(A' n B) =0.0403[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n_s = 10000[/tex]
The number of outcome for inspector A is [tex]n__{A}} = 742[/tex]
The number of outcome for inspector B is [tex]n__{B}} = 745[/tex]
The number of joints judged defective by both inspector is [tex]n(A u B) = 1145[/tex]
The the probability that the selected joint was judged to be defective by neither of the two inspectors is mathematically represented as
[tex]P(A' n B' ) = 1 - P(A u B)[/tex]
Now
[tex]P(A\ u \ B) = \frac{n(Au B)}{n_s }[/tex]
substituting values
[tex]P(A\ u \ B) = \frac{1145}{ 10 000 }[/tex]
So
[tex]P(A' n B' ) = 1 - \frac{1145}{10 000}[/tex]
[tex]P(A' n B' ) = 0.8855[/tex]
the probability that the selected joint was judged to be defective by inspector B but not by inspector A is mathematically represented as
[tex]P(A' n B) = P(A \ u \ B) -P(A)[/tex]
Now
[tex]P(A) = \frac{n__{A}}{n_s}[/tex]
substituting values
[tex]P(A) = \frac{742}{10 000}[/tex]
So
[tex]P(A' n B) = \frac{1145}{10 000} - \frac{742}{10 000}[/tex]
[tex]P(A' n B) =0.0403[/tex]
If b (middle term) is negative and c (last term is positive) then what do you know about the two factors? ex. 2x^2-7x+6
Answer:
signs of the constants in the binomial factors are negative
Step-by-step explanation:
Assuming the first term (a) is positive, the fact that c is negative means the constants in the binomial factors have the same sign. The negative b means that sign is negative.
2x^2 -7x +6 = (x -2)(2x -3)
__
Further comment
c is the product of the constants in the binomial factors so will be positive when both those constants have the same sign.
b is the sum of the constants in the binomial factors. If both factors have the same sign (c > 0), then those constants have the same sign as b.
In this analysis, "a" is assumed to be positive. If it is not, then the same analysis can be done after reversing all of the signs.
y = [ 1 and u = [ 6
3 ] 2 ]
Write y as the sum of a vector in Span {u} and a vector orthogonal to u.
y = z = ___ + ___. (Type an integer or simplified fraction for each matrix element. List the terms in the same order as they appear in the original list.)
Answer:
Take [tex]b = \frac{3}{10}(6,2)[/tex] as the vector in Span(u) and [tex]w = \frac{4}{5}(-1,3)[/tex] as the orthogonal vector to u
Step-by-step explanation:
Given vectors a,b we can calculate the projection of a onto b by the formula
[tex] \frac{a\cdot b}{b\cdot b}b[/tex]. where [tex]\cdot[/tex] is the dot product of vectors.
For this example, we will take y = [1,3] and u = [6,2].
Let b be the projection of y onto u. That is
[tex] b= \frac{y\cdot u}{u\cdot u}u = \frac{1\cdot 6+ 3\cdot 2}{6\cdot 6+2\cdot 2}(6,2) = \frac{3}{10}(6,2)[/tex]
Now, we want to find an orthogonal vector w such that b+w = y. From this equation, we can find w by taking w = y-b. Then
[tex] w = (1,3)-\frac{3}{10}(6,2) = \frac{4}{5}(-1,3)[/tex]
We must check that w and u are orthogonal. Note that if the vectors a,b are orthogonal, then the vectors a, kb are also orthogonal for every non-zero value of k. So, to check that a,kb are orthogonal, it suffices to check that a,b are orthogonal. We know that two vectors are orthogonal if and only if their dot product is zero. In our case, take the vector (6,2) and (-1,3). Note that
[tex](6,2)\cdot(-1,3) = -6+2\cdot3 = 0[/tex]
So, by the previous analysis, w and u are orthogonal.
Pwease hewp me pwease shanks lob u
Answer:
a = 3
b = 12
c = 13
Step-by-step explanation:
[tex] \frac{ {2}^{5}. {8}^{4} }{16} = \frac{ {2}^{5}. { ({2}^{a}) }^{4} }{ {2}^{4} } = \frac{ {2}^{5}. { {2}^{b} } }{ {2}^{4} } = {2}^{c} \\ \\ \frac{ {2}^{5}. {8}^{4} }{16} = \frac{ {2}^{5}. { ({2}^{a}) }^{4} }{ {2}^{4} } \\ \\ \frac{ {2}^{5}. {( {2}^{3}) }^{4} }{ {2}^{4} } = \frac{ {2}^{5}. { ({2}^{a}) }^{4} }{ {2}^{4} } \\ {( {2}^{3}) }^{4} = { ({2}^{a}) }^{4} \\ {2}^{3} = {2}^{a} \\ \huge \red{ \boxed{a = 3}} \\ \\ \frac{ {2}^{5}. {8}^{4} }{16} = \frac{ {2}^{5}. { {2}^{b} } }{ {2}^{4} } \\ \frac{ {2}^{5}. { ({2}^{3} )}^{4} }{ {2}^{4} } = \frac{ {2}^{5}. { {2}^{b} } }{ {2}^{4} } \\ { ({2}^{3} )}^{4} = { {2}^{b} } \\ {2}^{12} = { {2}^{b} } \\ \huge \purple{ \boxed{b = 12}} \\ \\ \frac{ {2}^{5}. {8}^{4} }{16} = {2}^{c} \\ \frac{ 16 \times 2. {( {2}^{3}) }^{4} }{16} = {2}^{c} \\ 2 \times {2}^{12} = {2}^{c} \\ {2}^{13} = {2}^{c} \\\huge \orange{ \boxed{ c = 13}}[/tex]
Which account has the lowest minimum balance requirement?
Bank Account Terms and Conditions
A
B
C
D
$500
$250
$300
Minimum
Balance
Interest
$100
0%
0.02%
0%
Overdraft
0.2%
$0 if linked
with savings
account or
140 per
overdraft
$35 per
$25 per
$25 per
Fees
overdraft
Overdraft
overdraft
ATM
Us age/Fees
$0 for all
ATMs
$0 for ABC
bank ATMS
53 for non-
ABC bank
ATMs
$4 per
transaction
$3 per
transaction
Answer:
Bank account D
Step-by-step explanation:
In order to maintain bank account A,the minimum balance requirement is $500 which is the highest minimum balance requirement when compared to other bank accounts.
Also, in order to maintain bank account D,the least balance required is $100,this is the lowest when compared with other bank accounts available,hence it is the correct answer in this case since the requirement was about the bank account with the lowest minimum balance
Answer
Bank account D
what was disney’s reaction to seeing pixar’s first proposal of toy story?
We're in the screening room of an exotic little San Francisco Bay area production company called Pixar Animation Studios, watching the dailies of a major work-in-progress, director John Lasseter presiding. And not to get too hyperbolic here, but we're witnessing history being made before our very eyes. You've heard of Debbie Does Dallas? Call this Disney Does Digital.
Two years ago, less than a half-dozen feature films employed the use of computer graphics; this year maybe a half-dozen won't use any sort of digital enhancements. If Hollywood has suddenly embraced the computer as a significant (and cost-effective) illusion-making tool, then Disney's Toy Story is arguably the most ambitious computer-generated undertaking yet.
hope this helps!
Answer:
We're in the screening room of an exotic little San Francisco Bay area production company called Pixar Animation Studios, watching the dailies of a major work-in-progress, director John Lasseter presiding. And not to get too hyperbolic here, but we're witnessing history being made before our very eyes. You've heard of Debbie Does Dallas? Call this Disney Does Digital.
Two years ago, less than a half-dozen feature films employed the use of computer graphics; this year maybe a half-dozen won't use any sort of digital enhancements. If Hollywood has suddenly embraced the computer as a significant (and cost-effective) illusion-making tool, then Disney's Toy Story is arguably the most ambitious computer-generated undertaking yet.
Step-by-step explanation:
write the linear function if f(0)=5 and f(2)=35
Answer: y=15x+5
Step-by-step explanation:
Looking at what we are given, we can tell that the y-intercept is 5. To ge tthe slope, you use [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]. With the slope , you get 15.
Given the reaction at equilibrium:
N2(g) + O2(g) + energy +2 NO(g)
Which change will result in a decrease in the amount of NO(g) formed?
A)
decreasing the pressure
B)
decreasing the concentration of N2(g)
C)
increasing the concentration of O2(g)
D)
increasing the temperature
The amount of NO can be decreased by decreasing the concentration of N2(g).
What is equilibrium?The term equilibrium refers to the point at which the rate of the forward reaction and the rate of the reverse reaction are the same.
We have the reaction; N2(g) + O2(g) + energy ------>2 NO(g), in order to drive this reaction in the reverse direction, the concentration of N2(g) can be decreased.
Learn more about equilibrium: https://brainly.com/question/14227610
The number of new cars (c) a ship carries can’t exceed 975
Answer:
That may or may not be true, depending one the ship size.
Step-by-step explanation:
'Can't really give a proper answer, to somethings that's not a q. *shrug*
You are a local startup company working on a smart dashboard camera system. You are bidding to be a supplier for both Ford Motor company and General Motors. Both the companies have a two-tier system where suppliers are approved in two separate phases. A company can move on to Phase II if they have passed the Phase I phase. Historical data points that for a startup company like yours, the chances of landing with a supplier contract with Ford Motor Company is 32% in Phase I while it is 64% in Phase II. However, for General Motors, the chances of success for Phase I is 68% and 36%. Using this information, calculate the following:
(a) What is the probability of your company becoming a successfully approved supplier to Ford Motor Company? Use a tree diagram and standard notations for full credit.(b) What is the probability of your company becoming a successfully approved supplier to General Motors? Use a tree diagram and standard notations for full credit.
Answer:
(a) The probability of the company becoming a successfully approved supplier to Ford Motor Company is 0.2048.
(b) The probability of the company becoming a successfully approved supplier to General Motors Company is 0.2448.
Step-by-step explanation:
A local startup company working on a smart dashboard camera system is bidding to be a supplier for both Ford Motor company and General Motors.
Both the companies have a two-tier system where suppliers are approved in two separate phases.
It is provided that a company can move on to Phase II if they have passed the Phase I phase.
(a)
The chances of landing with a supplier contract with Ford Motor Company is 32% in Phase I while it is 64% in Phase II.
That is:
P (Phase I) = 0.32
P (Phase II | Phase I) = 0.64
Consider the tree diagram below.
Compute the probability of the company becoming a successfully approved supplier to Ford Motor Company as follows:
P (Supplier to Ford Motor Company) = P (Phase II | Phase I) × P (Phase I)
[tex]=0.64\times 0.32\\=0.2048[/tex]
Thus, the probability of the company becoming a successfully approved supplier to Ford Motor Company is 0.2048.
(b)
The chances of landing with a supplier contract with General Motors is 68% for Phase I and 36% for Phase II.
That is:
P (Phase I) = 0.68
P (Phase II | Phase I) = 0.36
Consider the tree diagram below.
Compute the probability of the company becoming a successfully approved supplier to General Motors as follows:
P (Supplier to General Motors Company) = P (Phase II | Phase I) × P (Phase I)
[tex]=0.36\times 0.68\\=0.2448[/tex]
Thus, the probability of the company becoming a successfully approved supplier to General Motors Company is 0.2448.
ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. Show your work OR give an explaination.
Answer:
5x - 1
Step-by-step explanation:
f(x) = 3x - 2
g(x) = 2x + 1
(3x - 2) + (2x + 1)
3x + 2x = 5x
-2 + 1 = -1
Answer: 5x - 1
What’s the correct answer for this?
Answer:
C = 10 units²
Step-by-step explanation:
AB is 4 units long AC is 5 units long(by distance formula)
call AB and AC the base and height respectively. Multiply them, divide by 2: 4x5=20
20/2 = 10
Kendra was asked to find the number of students who planned to attend the evening symphony performance. She was told that 40 percent of the 50 students planned to attend. Kendra’s work is shown below.
Answer:
Kendra should of divided by 2
Step-by-step explanation:
Answer: B
Step-by-step explanation:
Which number is the largest
Step-by-step explanation:
0.153 is the largest number
Answer:
I believe 0.153 to be the greatest
Step-by-step explanation:
0.153
15%= 0.15
1/12= 0.0833333
1/7= 0.1428571429
Please help. I will make brainlest award for the correct answers
Step-by-step explanation:
HOPE THIS HELP YOU !!! :)))If the gardener can fill the border with 30 flowers planted 12 inches apart, how far apart should the gardener plant 36 flowers instead?
Answer:
10 inches
Step-by-step explanation:
This inversely proportional function, the more flowers - the less distance.
Flowers = k/distance
30 = k/12
k = 30*12 = 360
Flowers = 360/distance
New number of flowers and new distance:
Flowers = 360/distance
36 = 360/distance
distance = 360/36= 10 (inches)
Just give me the answer no expiation.
Answer:
b. 424
Step-by-step explanation:
it gives the equation N=41b+137
N=41(7)+137
N=424
Which statement is an example of the transitive property of congruence?
O A. If AKLME APQR, then APQR=ASTU.
O B. If AKLME APQR and APOR=ASTU, then AKLME ASTU.
C. AKLM: AKLM.
O D. If AKLME APOR, then APORE AKLM.
Answer:
B. If ΔKLM ≅ ΔPQR and ΔPQR ≅ ΔSTU, then ΔKLM ≅ ΔSTU
Step-by-step explanation:
The transitive property in general says ...
if a=b and b=c, then a=c
The transitive property of congruence replaces the equal sign with a congruence symbol, and replaces a, b, c with any geometric figure. Here, the geometric figures used are triangles KLM, PQR, and STU.
If ΔKLM ≅ ΔPQR and ΔPQR ≅ ΔSTU, then ΔKLM ≅ ΔSTU