Let the remaining angle be x
X+75=180( being straight angle)
Or x=180-75
.’. X= 105 is the ans
Answer:
Step-by-step explanation:
From the question we are told that:
Length of pool 
Width of Pool 
.
Brick walkway Width 
Generally the expression for a Area of pool is mathematically given by
Generally the expression for a Area of pool + Walkway is mathematically given by
where
And
Therefore
Generally the expression for a Area of Walkway is mathematically given by
The square route would be 6 because 6x6 equals 36.
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°.
