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
of the class consists of freshmen.
Step-by-step explanation:
Given,
Total number of students = 40
Number of freshmen = 18
Number of sophomores = 19
Number of juniors = 3
Fraction of freshmen = 
Fraction of freshmen = 
Fraction of freshmen =
of the class consists of freshmen.
Keywords: fraction, division
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#LearnwithBrainly
The slope formula is y2-y1 divided by x2- x1 so -8-6=-14 and -1+3=2
-14/2 =-7
Answer:
1a) Obtuse
1b) Alternate inner angles
1c) x = 101 degrees
2a) Obtuse
2b) Alternate outer angles
2c) x = 147 degrees
Step-by-step explanation:
I hoped these helped. If possible, may I have brainliest :)
Answer:
There are three pieces per bundle.
