Answer:
x = 7
Step-by-step explanation:
The angle adjacent to the 70 degree angle is also 70 degrees. We assume that there are four 90-degree angles in the center of the figure. Thus, 8x - 36 + 70 + 90 = 180 (the sum of the interior angles is 180 degrees).
Solving 8x - 36 + 70 + 90 = 180 for x:
8x - 36 = 20, or 8x = 56.
Dividing both sides by 8 yields x = 7.
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°.
Please find the attached file for a proper understanding of the question given here. The diagram in the file attached is the complete accompanying diagram of the question.
As per that diagram, 
(which is given)
and we know that 
(vertically opposite angles).
Thus, the only way ΔDSB ≅ ΔTSR by SAS is when 
as indicated in the diagram.
Thus, is the correct answer.
Answer:
2, 4, 5
Step-by-step explanation:
Answer:
(x , y)=(0 , -2)
Step-by-step explanation:
