Answer:
y = 8
Step-by-step explanation:
Line1 with points (4, 1) and (0, 0):
slope = (y₂ - y₁) / (x₂ - x₁)
= (0 - 1) / (0 - 4)
= 1/4
Perpendicular line is opposite inverse so original slope 1/4 becomes -4/1 or simply -4.
Line2 with points (1, 0) and (-1, y):
slope = (y₂ - y₁) / (x₂ - x₁)
= (y - 0) / (-1 - 1)
= y / -2
y must equal to 8 for the slope to be -4 as stated above.
Answer:
m∠x = 10°
Step-by-step explanation:
Since we are dealing with a <u>right triangle</u> and its two sides and one angle, we can use <u>trigonometry ratios</u>. Remember them all with the acronym SohCahToa.
"o" is for opposite side, "a" is for adjacent side, "h" is for hypotenuse side.
The ratios are:
sinθ = opposite/hypotenuse
cosθ = adjacent/hypotenuse
tanθ = opposite/adjacent
θ means the "angle of reference", or the angle you know or want to find. This determines which side is adjacent (touching) or opposite (not touching). The hypotenuse (longest side) does not change.
In this triangle, θ = x. The sides we know are hypotenuse and opposite. Therefore, we will use the sinθ ratio.
sinθ = opposite/hypotenuse
sinx = CB/AB Substitute the labels in the diagram
sinx = 4/23 Substitute known values (side lengths)
x = sin⁻¹(4/23) Isolate 'x'. Use calculator to solve.
x = 10.015....° Exact answer
x ≈ 10° Round to the nearest degree
Therefore the measure of angle x (m∠x) is 10°.
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ι нσρє ι ¢συℓ∂ нєℓρ уσυ
223,200,000 should be correct
Answer:
Scatter plots are like graphs in which you plot points. The rate can vary. They are mainly used to compare temperatures, or weather. Also other types of data like population.
