Answer: X = 27
Step-by-step explanation: If we observe very closely, we have two similar triangles in the diagram. The first one is ABC and the other triangle is EDC. Also take note that angle ACB in the first triangle is equal in measurement to angle ECD (45 degrees) in the other triangle, (Opposite angles).
Hence in triangle ECD, we have identified two angles so far which are angle 2x + 10 and angle 45. Same applies to triangle ABC, we already have two angles which are, 3x - 10 and 45.
However angle D in the second triangle is equal in measurement to angle B in the first triangle
(Alternate angles).
Hence we have a third angle in triangle ABC which is
Angle B = 2x + 10.
Therefore 3x - 10 + (2x + 10) + 45 = 180
(Sum of angles in a triangle)
3x - 10 + 2x + 10 + 45 = 180
By collecting like terms we now have
3x + 2x = 180 + 10 - 10 - 45
5x = 135
Divide both sides by 5,
x = 27
204 times .46 equals 93.84, to round of it would be 93.8
Answer:
It is proved that 
.
Step-by-step explanation:
We already have the identity of x as 
.......... (1) .
So, from equation (1) we can write that
⇒ 
⇒ 
⇒
Hence, it is proved that . (Answer)
Answer:
5/8
Step-by-step explanation:
12+30+20+10 +8 =80 total marbles
12+30+8=50 red blue and black
50/80
5/8
Hi there!
For a line to be PARALLEL, it must contain the same slope.
The given line has a slope of 4, so we can use the point-slope formula to solve:
y1 = y-coordinate of given point
x1 = x-coordinate of given point
m = slope
Plug in the values:
Simplify:
