Answer:
The triangles are congruent by SAS.
Step-by-step explanation:
The triangle have two congruent sides because it is given. The congruent angle is the angle at which they connect, these two angles are congruent because they are vertical angles.
Answer:
3x+y=-31
Step-by-step explanation:
Slope of perpendicular line is -3.
Sub in the point (10, -1)
(a) what are the x and y components of each vector?
For vector v1:
v1 = 6.6 (cos (180) i + sine (180) j)
v1 = 6.6 (-1i + 0j)
v1 = -6.6i
For vector v2:
v2 = 8.5 (cos (55) i + sine (55) j)
v2 = 8.5 ((0.573576436) i + (0.819152044) j)
v2 = 4.88 i + 6.96 j
(b) determine the sum v v 1 2
The sum of both vectors is given by:
v1 + v2 = (-6.6i) + (4.88 i + 6.96 j)
Adding component to component:
v1 + v2 = (-6.6 + 4.88) i + (6.96) j
v1 + v2 = (-1.72) i + (6.96) j
Answer:
190 Degrees Celsius
Step-by-step explanation:
so first you multiply the
Rate per minute X Minutes
15 X 8 = 120
120 this is the temperature increase so you add this increase to the initial temperature which was 70 degrees Celsius
temperature Increase + Initial temperature
120 + 70 = 190 degrees Celsius
Answer:
see below
Step-by-step explanation:
In the attachment, the points are listed in the order given in the problem statement. (They are listed to the right of the "rotation matrix", with x-coordinates above y-coordinates.)
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I really don't like to do repetitive calculations, so I try to use a graphing calculator or spreadsheet whenever possible. Angles are measured CCW.
As always, the rotation transformations are ...
180° — (x, y) ⇒ (-x, -y)
270° — (x, y) ⇒ (y, -x)
