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°.
You would have to first distribute the -2 to the x+3 which gives you -2x-6. Then you would subtract the 4 which gives you -2x-10 on the left side. Now you have the equation -2x-10>4x+30. Move the 4x to the other side giving you -6x-10>30. Now add the 10 from the other side which leaves you with -6x>40. Now remember when you divide by a negative in an inequality, you HAVE TO flip the sign giving you the answer of x<-20/3.
Answer:
The answer is either a, b, c, or d.
Step-by-step explanation:
I just chose all answers because i didn't feel like doing more work.
