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°.
Answer:
10.8239 approximately 10.82 (in 2 decimal places)
Step-by-step explanation:
the steps are shown in the picture attached :))
We know the slope is -1, because perpendicular line's slopes are always the negative reciprocal. We plug (5, -3) in to get:
-3 = -5 + b
b = 2
So we get C. y = -x + 2.
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Hope this helps!
==jding713==
Answer:
B
Step-by-step explanation:
First you find the amount of people at the reunion which was 80. Then you find 25% of 80. 25% of 80 is 20. The only age group with 20 people is the 20-29 year olds.
Answer:
The correct option is;
a. F is the midpoint of 
because line 
bisects
Step-by-step explanation:
Here, since we have that the triangle is reflected across EG therefore the location of the point F which is along EG bisects the line as the dimensions of the line from A to F must be equal to the dimension of the line that extends from A' to F
Therefore the point F is the midpoint of because line bisects .
