Answer:
x = 
; y = 2
Step-by-step explanation:
You have a 45 -45 - 90 triangle. There are two things to know"
1. The hypothenuse = leg ×
2. The legs are equal.
The hypothenuse is opposite the right angle that is "y" in this problem.
Hypothenuse = leg ×
= 
The legs are =
Therefore x =
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°.
The Answer is C because you just have to
Answer:
B
Step-by-step explanation:
You have to add 7 to both sides to isolate the variable
Answer: . Rotation about the y-axis by π
Step-by-step explanation:
