Slove using linear combination 3x+y =4 2x+y=5
2 answers:
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Answer:
x = 80°
Step-by-step explanation:
To find x, we need to create an equation.
Recall that the sum of all the 4 interior angles of a quadrilateral = 360°.
<em>Therefore:</em>
m<B + m<A + m<C + m<P = 360°
m<B = 20° (given)
m<C = 20° (given)
m<A = ½*x = x/2 (inscribed angle theorem)
m<P = (360 - x)°
<em>Plug in the values and solve for x</em>
<em>Collect like terms</em>
<em>Subtract 400 from each side </em>
<em>Multiply both sides by 2</em>
<em>Divide both sides by -1</em>
Answer:
7
6
5 ○ Perpendicular
Step-by-step explanation:
7 Halfway in between −2 and −6 is −4, and halfway in between 0 and 10 is 5, so you will have this:
6 Parallel Lines have SIMILAR <em>RATE</em><em> </em><em>OF</em><em> </em><em>CHANGES</em><em> </em>[<em>SLOPES</em>], so <em>line </em><em>r</em><em> </em>also has a slope of −1.
5 Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE <em>RATE OF CHANGES</em> [<em>SLOPES</em>], so −8⁄9 indeed becomes 1⅛ [or 9⁄8], therefore lines <em>r</em> and <em>q</em> are perpendicular.
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Answer:
- 3x + 4 = 9x -6
- 3x + 4 = 3x + 5
- 9x + 6 = 9x + 6
Step-by-step explanation:
Let x is the variable in each type of equation
1/ an equation that has one solution:
3x + 4 = 9x -6
<=> 9x - 3x = 4+6
<=> 6x = 10
<=> x =
2/ an equation that has no solution:
3x + 4 = 3x + 5
<=> 3x - 3x = 5-4
<=> 0 = 1 impossible
3/ an equation that has infinite many solutions:
9x + 6 = 9x + 6
<=> 9x - 9x = 6 -6
<=> 0 = 0 (obvious) no matter what we put in for x
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