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
You need to use a common denominator. The least common denominator of 11 and 22 is 22.
3/22 + -1/11 = 3/22 + -2/22 = 3/22 - 2/22 = 1/22
Answer:
8x10+m
Step-by-step explanation:
because of PEMDAS you multiply the 8x10 1st then add the product to m
Answer:
50 newspapers
Step-by-step explanation:
100 (total amount of newspapers) - 25 (amount Edward already sold) = 75 (amount of newspapers left)
75 (amount of newspapers left) ÷ 3 (Edward and his 2 friends) = 25 (equal amount each person delivered)
25 (amount Edward already sold) + 25 (amount Edward sold after his friends helped him) = 50 (amount of newspapers Edward sold in total)
