Answer: The m ∡KLM is: 130° .
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Explanation:
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(3x − 4) = (4x − 27) ; (Since these are "bisected, congruent angles", they are equal).
⇒ 3x − 4 = 4x − 27 ;
⇒ Subtract "4x" from EACH SIDE of the equation; and add "4" to EACH SIDE of the equation;
⇒ 3x − 4 − 4x + 4 = 4x − 27 − 4x + 4 ;
to get:
⇒ - 1x = -23 ;
⇒ Divide EACH SIDE of the equation by "-1" ; to isolate "x" on one side of the equation; and to solve for "x" ;
⇒ -1x / -1 = -23 / -1 ; to get:
⇒ x = 23;
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To find m ∡KLM :
m ∡ KLM = (3x − 4) + (4x − 27) ;
{Note: Remember: (3x − 4) = (4x − 27) } ;
So, plug in our solved value for "x" ; which is: "x = 23" into one of the expressions for one of the congruent angles.
Let us start with: "(3x − 4)" .
(3x − 4) = 3x − 4 = 3(23) − 4 = 69 − 4 = 65 .
By plugging in our solve value for "x" ; which is: "x = 23" ; into the expression for the other congruent angle, we should get: "65" ;
Let us try:
(4x − 27) = 4x − 27 = 4(23) − 27 = 92 − 27 = 65. Yes!
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So to find m ∡KLM:
(3x − 4) + (4x − 27) = 65 + 65 = 130° .
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Alternate method:
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At the point which we have:
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To find m ∡KLM :
m ∡ KLM = (3x − 4) + (4x − 27) ; and at which we have our solved value for "x" ; which is: "x = 23" ;
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We can simply plug in our known value for "x" ; which is: "23" ; into the following:
m ∡ KLM = (3x − 4) + (4x − 27) = [(3*23) − 4] + [(4*23) − 27] ;
= (69 − 4) + (92 − 7) = 65 + 65 = 130° .
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{Note: Using this method, we determine that each angle is equal; that is, "65° ".}.
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Answer: There are 20 goats and 18 chikens.
Step-by-step explanation:
Hi, to answer this question we have to write a system of equations:
If the number of chickens is represented by C, and the number of goats is G.
Total of Animals equation:
a)C+ G = 38
Total of legs equation (since chickens have 2 legs and goats have 4 ):
b)2C + 4 G =116
If we multiply a) by 2 and subtract a) from b).
<em>2C + 4 G =116
</em>
<em>-
</em>
<em>2C + 2 G =76
</em>
<em>_________
</em>
<em>2G = 40
</em>
G = 40/2
G= 20
Replacing the value of G on any equation:
a) C+ (20) =38
C =38-20
C=18
There are 20 goats and 18 chickens.
Answer:
24 is the answer
hope this helps
have a good day :)
Step-by-step explanation:
Answer: There are 15 boards that she can make from a 5 ft board.
Step-by-step explanation:
Since we have given that
Length of a board = 5 ft
Length of board she can make from the above board is given by
We need to find the number of boards she can make from a 5 ft board.
According to question,
Hence, there are 15 boards that she can make from a 5 ft board.
The 12 sided cube with the numbers 1 to 12 is rolled. That means it can land on any number from 1 to 12. The number of total possible outcomes is 12. The number of favourable outcomes, that is, the number of times the cube lands on a number than 4 is 12-1=11.
Probability=Number of favourable outcomes/number of total possible outcomes
= 11/12
= 0.92
I really hope this helps! And pls mark it as brainliest.
