(6x+19) +x=180 because they are a linear pair
combine like terms 7x+19=180
isolate x by subtracting 19 and dividing by 7
x=23
Answer:
The answer is E(-2,6) on Edgenuity :)
Step-by-step explanation:
We solve this by the definition of slope in analytical geometry. The definition of slope is the rise over run. In equation, that would be
m = Δy/Δx = (y₂-y₁)/(x₂-x₁)
The x-coordinates here are the t values, while the y-coordinates are the f(t) values. So, let's find the y values of the boundaries.
At t=2: f(t)= 0.25(2)²<span> − 0.5(2) + 3.5 = 3.5
Point 1 is (2, 3.5)
At t=6: </span>f(t)= 0.25(6)² − 0.5(6) + 3.5 = 9.5
Point 2 is (6, 9.5)
The slope would then be
m = (9.5-3.5)/(6-2)
m = 1.5
Hence, the slope is 1.5. Interpreting the data, the rate of change between t=2 and t=6 is 1.5 thousands per year.
Step 1. Expand
2 - a = a - 1.8
Step 2. Add a to both sides
2 = a - 1.8 + a
Step 3. Simplify a - 1.8 + a to 2a - 1.8
2 = 2a - 1.8
Step 4. Add 1.8 to both sides
2 + 1.8 = 2a
Step 5. Simplify 5 + 1.8 to 3.8
3.8 = 2a
Step 6. Divide both sides by 2
3.8/2 = a
Step 7. Simplify 3.8/2 to 1.9
1.9 = a
Step 8. Switch sides
a = 1.9
<h3>
Answer: C) 4/8 = 0.5</h3>
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Explanation:
The sine ratio involves the opposite over hypotenuse.
With respect to reference angle J, the opposite leg is the one furthest from the angle. So the opposite side is KL = 4. The hypotenuse is always the longest side, always opposite the 90 degree angle, so LJ = 8 is the hypotenuse.
sin(angle) = opposite/hypotenuse
sin(J) = KL/LJ
sin(J) = 4/8
sin(J) = 0.5
