Answer:
The angles are : 30° , 60° , 90°
Step-by-step explanation:
Sum of angles in a triangle = 180°
Given: the angles are in the ratio = 1 : 2 : 3
Sum of the ratio = 6
Therefore , the angles are
![first \ angle = \frac{1}{6} \times 180^\circ = 1 \times 30 = 30^\circ\\\\second \ angle = \frac{2}{6} \times 180^\circ = 2 \times 30 = 60^\circ\\\\third \ angle = \frac{3}{6} \times 180^\circ = 3 \times 30 = 90^\circ](https://tex.z-dn.net/?f=first%20%5C%20angle%20%3D%20%5Cfrac%7B1%7D%7B6%7D%20%5Ctimes%20180%5E%5Ccirc%20%3D%201%20%5Ctimes%2030%20%3D%2030%5E%5Ccirc%5C%5C%5C%5Csecond%20%5C%20angle%20%3D%20%5Cfrac%7B2%7D%7B6%7D%20%5Ctimes%20180%5E%5Ccirc%20%3D%20%202%20%5Ctimes%2030%20%3D%2060%5E%5Ccirc%5C%5C%5C%5Cthird%20%5C%20angle%20%3D%20%5Cfrac%7B3%7D%7B6%7D%20%5Ctimes%20180%5E%5Ccirc%20%3D%203%20%5Ctimes%2030%20%3D%2090%5E%5Ccirc)
Reflection refers to a rigid motion or transformation which occur and creates a mirror image to the given figure.
Reflections can be across the x-axis meaning that the result of the image is going to be (x,y) to (x,-y), and across the y-axis where the preimage (x,y) would be reflect to result in the image of (-x,y).
Another to kinds of reflection are across the line y=x where preimage (x,y) results in the new point (y,x) and the reflection across the line y=-x where the transformation results in the preimage (-y,-x).
Is given that the triangle ABC was reflected to create the new triangle A'B'C'. The coordinates of the vertices of the triangle ABC are A(3,1), B(1,5), and C(6,9), the new vertices after the reflection of the preimage are A'(-1,-3), B'(-5,-1), and C'(-9,-6).
After the previous said, the transformation occur was a reflection across the line y=-x. You can check this answer by selecting a point, and then looking at the rule for this kind of reflection.
The interest rate is 0.58, or 58 percent.
11,193.64 = 10,000 (1 + i)^2
Divide each side by 10,000.
1.119364 = (1 + i)^2
Take the square root of both sides.
1.058 = 1 + i
Subtract 1
i = 0.58
Answer:
36 ,36 30,2
Step-by-step explanation:
hope it's okay to you
ensure all fractions have the same denominator
we require -
= - ![\frac{4}{16}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B16%7D)
thus -
-
-
take out a common factor ![\frac{1}{16}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B16%7D)
=
(- 7 - 4 - 5 )
=
× - 16 = - 1