For part (a), determine whether the triangles are congruent by SSS or SAS. If not congruent, write “not congruent.” If congruent, write a congruency statement for part (b).
Answers
The congruency rules is as follows;
4)a) The triangles are congruent by SSS Congruency Postulate
b) Triangle PQR is congruent to Triangle PQS
5a) The triangles are not congruent
b) Triangle VWZ is not congruent to Triangle YXZ
6a) The triangles are congruent by SAS Congruency Postulate
b) ΔACB is congruent to ΔDBC by SAS Congruency Postulate
7) The triangles are not congruent
b) ΔKLJ is not congruent to ΔMNL
How to Identify Congruent Triangles?There are different congruency postulates or theorems as it pertains to congruent triangles and they are;
AAS theorem which denotes Angle-Angle-Side Theorem
HL theorem which denotes Hypotenuse-Leg Theorem
SSS Postulate which denotes Side-Side-Side Postulate
ASA postulate which denotes Angle-Side-Angle Postulate
SAS Postulate which denotes Side-Angle-Side Postulate
5) We can see that we are given two sides of one triangle that are congruent to two sides of another triangle. However, the third side is also congruent by reflexive property of congruency and as such we now have three sides congruent by SSS Congruency Postulate.
5) We can see that we are given two sides of one triangle that are congruent to two sides of another triangle. Now, the angle where the transverse lines intersect is not given but we can see that they are opposite angles by definition of opposite angles. Thus, the triangles are congruent by SSA Congruency Theorem because it has a non-included angle but SSA Congruency is not valid and so this is not congruent.
6) We can see that one side is given to be congruent. However, by reflexive property of congruence, we see that BC is congruent to itself and also the included right angle being congruent to each other. Thus, this is congruent by SAS Congruency postulate.
7) The triangles are not congruent because we are not given any third congruent side nor the angles and we can't use the given data to prove congruency.
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Related Questions
find compound interest on12600rupees for 2years at10% per annum compounded anually
Answers
Answer:
₹2520
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 10%/100 = 0.1 per year,
then, solving our equation
I = 12600 × 0.1 × 2 = 2520
I = ₹ 2,520.00
The simple interest accumulated
on a principal of ₹ 12,600.00
at a rate of 10% per year
for 2 years is ₹ 2,520.00.
....................................e..................................
Answers
Answer:
what?
Step-by-step explanation:
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TOOS
4
The number of books (b) in a preschool classroom is proportional to the number of children (C) enrolled.
If the preschool has three books in a classroom for each child enrolled, which equation represents the total number of books in the
classroom?
A. 6 = 30
B. b = 3-0
C. 6 = 3 +0
o D. 6 = 1/2
Reset
Next Question
Answers
Answer:
Step-by-step explanation:
Given that:
Number of books, b α number of children enrolled
b α C
b = kC
Number of books, b = 3 for each child, c = 1 enrolled
Total number of books in class room :
Total number of books = Number of books per child * Number of child)
Total number of books = 3 * Numbe of child
The answer is c i believe
The table below shows the monthly balances a person had on their credit card over a five-month period.
Month Balance
January -$50
February $25
March -$70
April -$45
May $25
What was the average monthly balance over the five-month period? Enter your answers and your explanations or work in the space provided.
Answers
Answer:
43 dollars
Step-by-step explanation:
to take the average we have to add up all the numbers and divide by 5 which is
215/5=43
if my answer helps please mark as brainliest.
PLS HELP ASAP!!! 30 POINTS (a) What is m<3 ? (b) What is ?
PICTURE BELOW PLS ANSWER IN COMPLETE SENTENCES
Answers
Answer:
ACTUA,LY ITS
Step-by-step explanation:
2222
Step-by-step explanation:
angle 3 = 180-20-57 =103
angle 4 = 180 - 103 = 77
solve the system of linear equation by graphing
y=x-7
y=-2x+5
Answers
Answer: (4,-3)
jfwfhwghfhkhhhsfufufcbvhvus
What are the coordinates of the endpoints of segment M'N'? M'(-6, 9) and N'(4, 9) M'(-6, 9) and N'(3, 9) M'(-2, 3) and N'(7, 9) M'(-2, 3) and N'(1, 3)
Answers
Answer:
The answer is B. M'(-6,9) and N'(3,9)
Step-by-step explanation:
To find the coordinates of the endpoints of segment M'N' you'll have to use the rule through which it was dilated.
M(-4,6) after the rule it will be (-4*1.5, 6*1.5) = M'(-6,9)
N(2,6) after the rule it will be (2*1.5, 6*15) = N'(3,9)
The answer is B. M'(-6,9) and N'(3,9)
Hope this helps :)
The required endpoint of the segment M'N' is given as M'(-6,9) and N'(3,9) respectively. Option B is correct.
What is coordinate?Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.
Here,
The equation for the dilation is given as,
= {1.5x, 1.45y}
Now,
Put coordinates of M and N in the above equation,
Coordinate of M' = (-4×1.5, 6×1.5) = M'(-6,9)
Similarly, the coordinate of N',
Coordinate of N' = (2×1.5, 6×1.5) = N'(3,9)
Thus, the required endpoint of the segment M'N' is given as M'(-6,9) and N'(3,9) respectively. Option B is correct.
Learn more about coordinate here:
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Which of the following is an example of the associative property?
2(5 - 3) = 10 - 6
-7 + (19 + 5) = (-7 + 19) + 5
11 + (6 + 8) = 11 + (28 + 6)
· 3 = 1
Answers
Answer:
The second one is the associative property bruda!
Mrs. Smith is making christmas baskets and wants to evenly divide the 36 ornaments and 24 candy canes so that each basket has the greatest number of
ornaments and candy canes without any left over. When you make the greatest # of baskets, how many ornaments will be in each basket?
A.2
B.3
C.6
D.12
Answers
Answer:
C.
Step-by-step explanation:
It is c because 6 can go into both of those numbers when multiplying
Answer:
B. 3
Step-by-step explanation:
We are looking for the greatest number of baskets. The greatest number of baskets is the greatest number that divides evenly into both 36 and 24.
We need to find the greatest common factor of 36 and 24 to find the greatest number of baskets.
36 = 2^2 * 3^2
24 = 2^3 * 3
GCF = 2^2 * 3 = 4 * 3 = 12
The number of baskets is 12.
Now we need to find the number of ornaments that will go in each basket.
36 ornaments / 12 baskets = 3 ornaments/basket
Answer: B. 3
someone answer this please!! make sure to consider the function f(x)=3x-1
Answers
Answer:
The answers go
2
-1
-4
4
If anyone knows how to solve this please help!!!
Answers
Answer:
i believe it would be 80⁰
Step-by-step explanation:
an angle accross a straight line in 180⁰, half of that of a circle witch is 360⁰. so if part of your angle is 100⁰, the other must be 80⁰
Marie is saving $75 each week so she can buy a new laptop which costs $1200. She has already saved $125. Find the minimum number of weeks she will have to save in order to be able to make this purchase.
Answers
Answer:
Step-by-step explanation:
[tex]125+75w\ge 1200\\ \\ 75w\ge 1075\\ \\ w\ge 14.33\\ \\ \text{So she must save for at least 15 weeks.}[/tex]
Well I need the help in this last question I will mark brain list if you got it right
Answers
Answer:
6x−11y+15
Step-by-step explanation:
Distribute the Negative Sign:
=5x−6y+7+−1(−x+5y−8)
=5x+−6y+7+−1(−x)+−1(5y)+(−1)(−8)
=5x+−6y+7+x+−5y+8
Combine Like Terms:
=5x+−6y+7+x+−5y+8
=(5x+x)+(−6y+−5y)+(7+8)
=6x+−11y+15
Answer:
6x−11y+15
I hope I helped!!
=5x-6y+7+x-5y+8
=6x -11y +15
Hope it helps you (^_^)
what is 10% of $10
Pls i need help
Answers
Answer:
1 dollar
Step-by-step explanation:
1 dollar is one tenth of a dollar ie 10%
Answer:
the answer is $1.
Step-by-step explanation:
- convert 10% into decimal form, which is 0.10
- then multiply 0.10 to 10
- that would equal to 0.10x10=1
The spinner below is spun. Find the probability,
P(D greater than 1)
What is the numerator for the probability?
What is the denominator for the probability?
Answers
Answer:
5 - numerator
6 - denominator
A sphere has a radius of 1 inch. What is the volume of the sphere, in cubic inches?
Answers
Answer:
V≈ 4.19in³
Step-by-step explanation:
V=4/3 π r³= 4/3 ·π· 1³ ≈4.18879in³
a. On the map of Arkansas shown, find the actual distance between Clarksville and Little Rock. Use a ruler to measure.
Answers
Answer:
1cm/20mi = 4cm/x
1x = 80
x = 80
The answer is 80 miles
(2x6)+(8+4)+1
With explanation
Answers
Answer: 25
Step-by-step explanation:
6 x 2 = 12
8 + 4 = 12
therefore, (2 x 6) + (8 + 4) + 1 = 12 + 12 + 1
which gives 25
Start with parenthesis, (2x6) and (8+4)
Solve 2x6 and 8+4
Add 12+12+1
Which gives you 25
What is the ratio of the length of the rectangle to its width. 24 and 20
Answers
Hope this helps!
What is the equation graph below?
Answers
Answer: y =7/4x
Step-by-step explanation:
The y-intercept is 0. To find the slope, do the change in y over the change in x. At the point on the graph, there is a slope of 14/8 = 7/4
An 8th-grade class washed cars and pets to raise money for a children’s hospital. They charged $10 to wash a car and $5 to wash a pet. They raised $1,600 in one week, washing a total of 201 cars and pets. How much more money was raised washing cars than pets?
$1,399
$1,190
$780
$410
Answers
Answer:
780
Step-by-step explanation:
the answer is 780
Answer: 780
Step-by-step explanation:
What's the circumference of a circle with a radius of 22 inches
no round
Answers
Answer:
22π
Step-by-step explanation:
Ok so the equation for the circumference of a circle is diameter * pi, so you have diameter = 22 and you can plug that into the equation:
diameter * pi --> 22 * pi = 22π
how do you simplify 1 1/8 x 3 2/3 someone please help me!
Answers
Answer:
4 1/8
Step-by-step explanation:
1 1/8 x 3 2/3 = ?
9/8 x 11/3 = 99/24
99/24 = 4 1/8
Answer:
1. find the least common denominator for the left-hand side fraction. This brings you to 8/8x + 3x/8x = 1/2
2. Add the numerator on the left-hand side of this equation, (8+3x)/8x = 1/2
3. Multiply both sides by 2, that will lead you to (8+3x)/4x =1/1
4. Multiply both sides by 4x, we get 8+3x=4x
5. Finally, subtracting 3x from both sides simplifies the equation to x=8. Note that this is as simple as this expression can get so you can not go any further, therefore 1/x+3/8=1/2 simplifies to x=8.
Step-by-step explanation:
Write the linear equation in slope-intercept form given the following:
(1, 4); slope=-2
Answers
Answer:
y=-2x+6
Step-by-step explanation:
y-4=-2(x-1)
y=-2x+6
Rodrigo plans to buy packs of baseball cards until he gets the card of his favorite player, but he only has enough money to buy at most three packs. Suppose that each pack has a 10 % 10%10, percent chance of containing the card Rodrigo is hoping for. The table below displays the probability distribution of X XX, the number of packs of cards Rodrigo buys. X = # of packs X=# of packsX, equals, \#, start text, space, o, f, space, p, a, c, k, s, end text 1 11 2 22 3 33 P ( X ) P(X)P, left parenthesis, X, right parenthesis 0.10 0.100, point, 10 0.09 0.090, point, 09 0.81 0.810, point, 81 Calculate the mean of X XX.
Answers
Answer: 2.71 packs
Step-by-step explanation:
Please help! The ritio of two houses is 4:3 and the cost of the second hose is ₹4,20,000 . lets find the cost of the first house . If the cost of the first house was ₹70,000 more , then lets find the ratio of their cost .
Answers
Answer:
[tex]First~condition:\\Suppose~that~the~first~house~costs~4x~and~the~second~house~costs~3x.\\Given,~Cost~of~the~second~house=Rs. 420000\\or, 3x=Rs. 420000\\or, x = Rs. 140000\\Cost~of~the~first~house=4x= 4(140000) = Rs. 560000\\So, ~the~cost~of~first~house~is~Rs.560000\\Second~part:\\Now,~the~cost~of~the~first~house = Rs.(560000+70000) = Rs. 630000\\But,~the~cost~of~second~house~is~still~Rs. 420000\\Their~ratio= 630000:420000 = \frac{630000}{420000}=\frac{3}{2}=3:2.\\[/tex]
So, the ratio of their cost is 3:2.
A vending machine sells chips for $0.50 and candy bars for $1.00. If Jim spent $5.50 on snacks in the machine over the course of a week, how many candy bars did he buy? G. 2 H. 3 J. 4 K. Cannot be determined from the given information
Answers
Answer:
can't be determined
Step-by-step explanation:
we would need to know the total number of bars/chips he brought
How is a "series" different than a "sequence"?
Answers
Answer:
See below
Step-by-step explanation:
A series is the terms added together and a sequence is the list of terms. When you add the terms of a sequence, then you have formed a series.
can someone help :) i am d^mb ok
Answers
Answer:
answer is
32x2=64
16x4=64
4×3=64
8 2
2 6
there you go! <3
Rewrite the equation 2x + 3y = 6 in slope-intercept form.
3y = -2x + 6
y= -2x+6
y= - 2/3 x+2
y = 2x+6
Answers
3y=6-2x
y=2-2/3x
y=-2/3x+2
the 3rd one is correct