If triangle RST and triangle XYZ are similar, the statement that must be true is :
Angle R equals angle X
Triangle R S T
Triangle X Y Z
those three angles will be similar in this case
hope this helps
Answer:
x = 58 degrees
Step-by-step explanation:
Angle K (which is x) and Angle I are congruent corresponding angles with one another, so if, as an example, Angle I was 10, Angle K would also be 10.
<u><em>All you need to do in this case is add Angle H (56) and Angle A (66) together:</em></u>
56 + 66 = 122
<u><em>Then subtract 122 from 180 (because triangles add up to 180 degrees) to get x:</em></u>
180 - 122 = 58
So, x = 58 degrees.
Express √3 + i in polar form:
|√3 + i| = √((√3)² + 1²) = √4 = 2
arg(√3 + i) = arctan(1/√3) = π/6
Then
√3 + i = 2 (cos(π/6) + i sin(π/6))
By DeMoivre's theorem,
(√3 + i)³ = (2 (cos(π/6) + i sin(π/6)))³
… = 2³ (cos(3 • π/6) + i sin(3 • π/6))
… = 8 (cos(π/2) + i sin(π/2))
… = 8i
Answer: i thinks it's D. none of the above because they are all angles?
Step-by-step explanation:
HL (It's a right triangle and the hypotenuse and leg are congruent. This can also be thought of as SAS.)
SAS (Side angle side. All congruent.)
SSS (Line AR is shared by both triangles. A line is always congruent on itself. The other two are self explanatory.)
ASA and AAS cannot be used because we can only confidently confirm one angle of each triangle.
