Answer:
If I am correct both figures are similar because of AA (angle reasoning). They have the same angles meaning they are similar triangles even if they don't fit the SSS, SAS, etc. reasoning
Step-by-step explanation:
You could also do the cross multiply divide method to determine if they equal the corresponding length (which they do!) hope this helps! :)
edit: Question 4) is similar following the AA statement for triangles
Question 5 is not similar because it doesn;t match doing the cross multiply divide and has two right angles because they are
rectangles!
Question 1) Corresponding angles are related in two similar figures because they are the same. In triangles two figures similarity can be determined by identifying if they share two angles.
Question 2) Corresponding side lengths can determine the similarity by proving that the shape was only transformed by a scale factor and did not alter shape.
Question 3) No, not neccesarily. If they are the same size, length, and shape they are congruent. Similar figures are altered and different based on a scale factor
For any complex numbers in polar form
(Where
)
Then
So then for your problem, that would be
So that would be
Hope this helps.
Answer:
x = 24
Step-by-step explanation:
Since this is a right angle, we can use the Pythagorean Theorem to find x. In the formula, a^2 + b^2 = c^2, variables a and b represent the lengths of the legs, and variable c represents the length of the hypotenuse.
a^2 + b^2 = c^2
18^2 + x^2 = 30^2
324 + x^2 = 900
x^2 = 576
x = 24
Answer:
9.43 cm³
Step-by-step explanation:
Given that the surface area of the spherical scoop is 36π cm², we find its radius. The surface area of a sphere, A = 4πr² where r = radius
36π cm² = 4πr²
r² = 36π cm²/4π
r² = 9 cm²
r = √(9 cm²)
r = 3 cm
So, the volume of the spherical scoop of ice cream is thus V = 4πr³/3
= 4π(3 cm)³/3
= 4π(9 cm³)
= 36π cm³
The volume of the ice cream cone is V' = πr²h/3 where r = radius of cone = radius of spherical scoop = 3cm and h = height of cone = 11 cm
V' = π(3 cm)² × 11 cm/3
= 9π cm² × 11 cm/3
= 33π cm³
So, the volume of ice cream that will overflow is thus V - V' = 36π cm³ - 33π cm³
= 3π cm³
= 9.43 cm³
Answer:
-7
Step-by-step explanation:
f(3) = 2(3)+3 = 9
g(4) = 2^4 = 16
9 - 16 = -7