Answer:
B
Step-by-step explanation:
total number of people minus people who prefer soda, iced tea, or lemonade= people who prefer water
450-101-67-108=174
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
It takes the runner 11 and a half minutes to run one mile. 1mile = 11.5 min.
Answer:
Step-by-step explanation:
Answer: The width of the leftover brass is 17 inches.
Step-by-step explanation:
Hi, to answer this question, first, we have to add the width of the pieces cut.
Mathematically speaking:
8 in +8 in = 16 in
Now, we have to subtract that result to the width of the sheet of brass.
33 in -16 in = 17 in
The width of the leftover brass is 17 inches.
Feel free to ask for more if needed or if you did not understand something.