Answer:
1) m<1 = 25
2) m<4 = 155
3) m< 5 = 25
4) m<7 = 25
5) 110
6) 30.5
7) 74
Step-by-step explanation:
1)
x + 155 = 180
x = 25
2)
<4 = 155 because of vertical angle thm
3)
<5 = 25 (congruent to <1) b/c of corresponding angles thm
4)
<7 = <5 (25) because of vertical angles thm
5)
5x + 15 = 8x - 42
-3x = -57
x = 19
5(x) + 15
5(19) + 15 = 110
6)
180 - 110 = 70
3x + x + 4 + 70 = 180
4x + 74 = 180
4x = 106
x = 26.5
x+ 4 = 30.5
7)
180 - 115 = 65
x + 4 + 2x + 65 = 180
3x + 69 = 180
3x = 111
x = 37
2x = 74
Answer:
Step-by-step explanation:
<span>x=<span><span>4</span><span><span>3+<span>√<span><span><span>17</span></span><span></span></span></span></span></span><span></span></span>,<span><span>4</span><span><span>3−<span>√<span><span><span>17</span></span><span></span></span></span></span></span><span> Is the answer.
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I hope this helps. :)
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Answer:
60 t0 12, or 1:5, or 1/5
Step-by-step explanation:
Answer:
slope = 5/6
Step-by-step explanation:
Since you were given two points, you can use the point-slope formula to find the slope. The general equation looks like this:
y₁ - y₂ = m(x₁ - x₂)
In this formula, "m" represents the slope. To find the slope, plug the values from the two points into the equation. Make sure to put the values from the same point in the variable with the same number.
Point 1: (-1, 8)
Point 2: (-7, 3)
y₁ - y₂ = m(x₁ - x₂) <----- Original formula
8 - y₂ = m(-1 - x₂) <----- Plug in "x" and "y" values from Point 1
8 - 3 = m(-1 - (-7)) <----- Plug in "x" and "y" values from Point 2
5 = m(-1 - (-7)) <----- Simplify left side
5 = m(6) <----- Simplify inside parentheses
5/6 = m <----- Divide both sides by 6
