For the following system if you isolated X in the second equation to use the substitution method what expression would you subst
1 answer:
Option A. зу + 12 is the right answer
Step-by-step explanation:
The substitution method consists of finding the value of a variable from one equation and then putting it into another equation to find the value of other variable.
Given equations are:
We have to isolate x in the 2nd equation
Multiplying equation by -1
Subtracting 3y from both sides
Hence,
Option A. зу + 12 is the right answer
Keywords: linear equations, Variables
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In the parallelogram, m∠M is equal to m∠O, and the sum of m∠M and
m∠N is 180°.
Response:
The true statements are;
- <u>x = 11°</u>
- <u>m∠N = 59°</u>
- <u>m∠O = 121°</u>
The possible drawing of the parallelogram LMNO created with MS Visio is attached.
From the drawing, we have;
m∠M = 11·x
m∠N = 6·x - 7
The properties of a parallelogram are;
Opposite angles are equal.
Adjacent angles are supplementary
Which gives;
11·x + 6·x - 7 = 180°
17·x = (180 + 7)° = 187°
m∠M = 11 × 11° = 121° = m∠O
m∠N = 6 × 11° - 7 = 59° = m∠L
Therefore;
The statements that are true are;
- x = 11°
- m∠N = 59°
- m∠O = 121°
Learn more about the properties of a parallelogram here:
Answer:
28 ft
Step-by-step explanation:
Let longer side of rectangle be and the shorter side be
, thus we can write the ratio:
<em>Now putting 21 into S, we solve for L:</em>
Hence, length of longer side is 28 ft.