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:
Step-by-step explanation:
Given that,
We need to find the value of cos x.
We know that,
Using the above relation,
So, the value of cos x is equal to 
.
Production would take place at a point inside the production possibility frontier
The Production possibilities curve is a curve that shows the various combination of two goods a company can produce when all its resources are fully utilised.
The PPC is concave to the origin. This means that as more quantities of a product is produced, the fewer resources it has available to produce another good. As a result, less of the other product would be produced. So, the opportunity cost of producing a good increase as more and more of that good is produced.
Points inside the production possibilities curve means that the nations resources are not being fully utilised
When the unemployment rate increases, it means that labour resources are not been fully utilized. As a result, production would take place at point inside the production possibilities curve
Point outside the curve or to the right of the curve means that the production level is not attainable given the level of resources
Learn more about the production possibility curve here : brainly.com/question/12047178?referrer=searchResults
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Answer:
∠K = ∠M = 55°
Step-by-step explanation:
The two marked angles are opposite the sides marked as congruent. That means the angles are congruent, so we have ...
4x -1 = 2x +27
2x = 28 . . . . . . . . add 1-2x to both sides
x = 14
4x -1 = 4(14) -1 = 55
The measures of the angles are ...
∠K = ∠M = 55°
