Vertical angles are congruent. Complementary angles add to 90 degrees. So if the vertical angles are each half, 45 degrees, they'll be congruent and complementary.
Answer: 45 degrees
Ok, good job for posting the answer
This has infinite solutions because when you multiply 3 by the values in the parentheses they will equal.
3(x+9)=3x+27
3x+27=3x+27
Answer:
∠ 1 = 123°
Step-by-step explanation:
One way
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ 1 is an external angle of the triangle, thus
∠ 1 = 90° + 33° = 123°
Second way
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 given angles from 180 for third angle in Δ
third angle = 180° - (90 + 33)° = 180° - 123° = 57°
The third angle and ∠ 1 form a straight angle and are supplementary, thus
∠ 1 = 180° - 57° = 123°
Answer:
See attached image
Step-by-step explanation:
With this type of reflection, one has to convert the points of the form (x, y) into (y, x).
So the vertices of the triangle will transform the following way:
(4, 4) into image (4, 4)
(4, 1) into image (1, 4)
(2, 1) into image (1, 2)
Please see attached picture to find the new reflected triangle depicted in red.