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
I think this is the answer
(-2,5)
(0,4)
(2,3)
(4,2)
The equation of proportional situation is y = ax.
Therefore your answer is y = -2x + 14
In order from least to greatest:
5/10 , 7/12 , 4/6
You have to find a common denominator of all 3 numbers which is 60 and then you proceed with the next steps.
Answer:
144 goes with 12, 36 goes with 6, 9 goes with 3, and 121 goes with 11.
Step-by-step explanation:
The second number stated in each phrase is time itself to create the first number. For example, 144. If we take the second number in the number phrase (12) and time it by itself (12 * 12) it equals 144. This applies to each number phrase.
