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:
Zero property
Step-by-step explanation:
We are making a equation equal 0
Answer:
Option (i)
Step-by-step explanation:
{2} has only 1 subset i.e. {2} and no other subset. While { } or ∅ has no subset.
Answer: 4*p=8
Step-by-step explanation:
<em>You can use inverse operation to answer this equation.</em>
- <em>write out you problem: 4 x p =8</em>
- <em>The inverse of multiplication is division</em>
- <em>you do 4/4 which gives you one but the 4 will cancel itself out</em>
- <em>Do 8/4 which gives you 2</em>
- <em>under the equation write p = 2</em>
- <em>And be sure to line the p up with the p, the equal sign with the equal sign, and the 2 stays where it is ( which should be already lined up with the 8)</em>
Parallel: line p with slope 2/5
Perpendicular: line n with slope -5/2
the other two would be neither.