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:
Part A: Both functions' slopes increase at intervals of four in a positive manner, so they will rise to the right.
Part B: g(x) has a greater y intercept as it is y=3 and f(x) is y=-1
Step-by-step explanation:
The answer is B u put them all in a fraction and put them in simpliest form and all the answers in B come up to 7 over 8
Answer:
Step-by-step explanation:
Simplifying
x = 8 + 3y
Answer:
the answer is 40/4
Step-by-step explanation: 7 1/4 3/4 40/4