Answer:
Step-by-step explanation:
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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
Answer:
(-6, 0) and (3, 0)
Step-by-step explanation:
I think you meant f(x) = (x + 6)(x - 3). This graph intersects the x-axis in two places: (-6, 0) and (3, 0). These are the "x-intercepts."
Answer:
C. $8483
Step-by-step explanation:
To find the coffee sales, we plug in the value of x as 34 into y = 60x + 6443.
Therefore, the answer is C. $8483.00.
Answer:
x = first piece
14 - x = second piece
Step-by-step explanation:
Since we know that the board is 14 feet then to find the size of the second piece, we just take the full length of the board and then subtract it to the first piece's length.