Decide whether enough information is given to prove that the triangles are congruent using the SAS congruence theorem. If so, write a proof. If not, explain why(Questions 7 and 8)
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Answer: *for 8* Yes, It is congruent by SAS.
Step-by-step explanation:
Since we know that LM and NM are congruent, and that angles LMP and NMP are congruent, then all we need to do is prove that MP is congruent to MP, and we can do that by saying that MP is congruent to MP using the reflexive property.
Final answer:
The SAS congruence theorem states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.
Explanation:
The SAS congruence theorem states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.
To determine if the given triangles are congruent using the SAS congruence theorem, we need to check if the corresponding sides and the included angles are congruent. If they are, we can write a proof.
Unfortunately, you have not provided the information about the sides and angles of the given triangles. Please provide the information so that we can determine if the triangles are congruent using the SAS congruence theorem.
Learn more about Congruent triangles here:
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Thr sum of 2 numbers is 97.The greater number is three less then four times the lesser number.Find the numbersneed answer soon PLEASE!!!!
Identify the like terms in this expression: 3xy + 2x-7xy+4x2
Answers
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The gcf is 12, so you'll divide 12 to both the 48 and the 180.
So it'll look like this...
P.S. don't forget to the "e"
If you want to check if you're right just distribute the 12 and you should get 48e + 180 if you didn't you did something wrong.
A. -101 +37i
B.-11-107/
C. -11 +37/
D. -101-107/
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Final answer:
To find the product of two complex numbers, you can use the distributive property. First, multiply the real parts and then multiply the imaginary parts. The correct answer is A. -101 + 37i.
Explanation:
To find the product of two complex numbers, you can use the distributive property. First, multiply the real parts of the complex numbers together, and then multiply the imaginary parts together. For the given complex numbers (8 + 5) and (-7 + 9):
Real part: (8 * -7) + (8 * 9) = -56 + 72 = 16
Imaginary part: (5 * -7) + (5 * 9) = -35 + 45 = 10
So, the product is 16 + 10i. Therefore, the correct answer is A. -101 + 37i.
Learn more about Complex numbers here:
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Answers
Answer:
3500
Step-by-step explanation:
(270/27)× 350= 10 x 350
5. 4(5x + 2) + 11 = 18x + 3
6. 3x - 8x = -27 – 13
Show Your Work
Answers
Answer:
4. x=4
5. x=-8
6. x=8
Step-by-step explanation:
It may take one extra step to get to the solution, but this method always works.
1. find the variable term that is smallest or most negative. Subtract all the terms on that side of the equation from both sides of the equation.
2. collect terms
3. divide the equation by the coefficient of the variable
4. add the opposite of the constant
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4. The most negative variable term is -9x, which is on the left side. Subtracting (24-9x) from both sides of the equation, we have ...
0 = -3x -24 +9x
0 = -24 +6x
0 = -4 +x . . . . . divide by 6
4 = x . . . . . . . . add the opposite of -4
__
5. The smallest variable term is 18x, on the right. (The variable term on the left is 20x.)
4(5x +2) +11 -18x -3 = 0 . . . subtract the right side
2x +16 = 0 . . . collect terms
x +8 = 0 . . . . . . divide by 2
x = -8 . . . . . . . . add -8
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6. All variables are on the left side, so we can just collect terms and divide by the coefficient of the variable.
-5x = -40 . . . collect terms
x = 8 . . . . . divide by -5
If you were to literally follow the steps above, you would recognize that -5x is less than 0x (the x-term on the right side of the equation), so you would subtract the left side, giving ...
0 = 5x -40
0 = x -8 . . . . . divide by 5
8 = x . . . . . . . . add 8
_____
Comment on this solution technique
You will often be told to solve these equations by separating the variable terms from the constant terms. This method actually puts the variable terms and constant terms together (and zero on the other side of the equal sign). The constant is separated from the variable as the last step of this solution process, rather than as one of the first steps. By doing this, we don't have to worry about which variable term or which constant term we're going to mess with.
The only reason for choosing the variable term with the smallest (least) coefficient in the first step is to ensure that the resulting variable coefficient is positive. This tends to reduce errors later on. You can also use that same strategy when solving the equation following the "separate constant terms and variable terms" approach.
Answers
ANSWER
EXPLANATION
From the given question, the cost of 1 game ticket is 107
Since the number of tickets is x
The total cost will be = cost multiplied by number of tickets
=