1,845 seats in the auditorium divided by the 15 sections will give you 123
There are 123 seats in each section
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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<span>1 x + 1 y = 7 .............1
Total value
15 x + 28 y = 131 .............2
Eliminate y
multiply (1)by -28
Multiply (2) by 1
-28 x -28 y = -196
15 x + 28 y = 131
Add the two equations
-13 x = -65
/ -13
x = 5
plug value of x in (1)
1 x + 1 y = 7
5 + y = 7
y = 7 -5
y = 2
y = 2
x= 5 plain shirts
y= 2 fancy shirts </span>
2x-1/2=3-x
x2 x2
2x-1=3-2x
+1 +1
2x=4-2x
+2x +2x
4x=4
/4 /4
x=1
If you are given a function such
as f(x), it means that f(x) is dependent on the value of x. When finding the
points that would correspond to the given function, it is written as (x,f(x)). The
f(0) = 6 is the same as the point (0, 6).
