Answer:
Step-by-step explanation:
Since you didn't state what you're looking for, I will lost out all the angles in the picture instead.
Given that
∠CEF = 150°
∠ECA = 32°
∠CEA = 180 - ∠CEF(angles in a straight line)
∠CEA = 180 - 150
∠CEA = 30°
∠EAC = 180 - ∠CEA - ∠ECA(angles in a triangle)
∠EAC = 180 - 30 - 32
∠EAC = 118°
∠CAB = 180 - ∠EAC(angles in a triangle)
∠CAB = 180 - 118
∠CAB = 62°
∠ACB = ∠CEA = 30°(similar angles)
∠ABC = 180 - ∠CAB - ∠ACB(angles in a triangle)
∠ABC = 180 - 62 - 30
∠ABC = 88°
∠ECB = ∠ECA + ∠ACB(angles in a triangle)
∠ECB = 32 + 30
∠ECB = 62°
∠CEA + ∠ECB + ∠ABC = 180
30 + 62 + 88 = 180°.
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Answer: the shortest side is 10 centimeters.
The length of each of the other sides is 10 centimeters each.
Step-by-step explanation:
Let x represent the length of the shortest side of the triangle.
Two sides of the triangle are each twice as long as the shortest side. This means that the length of the two sides would be 2x.
The perimeter of a triangle is the sum of each side of the triangle.
The puzzle piece in the shape of a triangle has perimeter 25 centimeters. This means that
x + 2x + 2x = 25
5x = 25
x = 25/5
x = 5
The length of each of the two sides is
2x = 2 × 5 = 10
If 22% are sixth graders, then the rest must not sixths graders.
100% of the school - 22% sixth grades = 78% are not sixths graders
The answer is x= -21
3x-3=6(x-10)
The reciprocal of 3/8 would be 8/3 (basically reversing the numbers).
When dividing fractions, you can just multiply the first fraction by the reciprocal of the second fraction instead of dividing by the second fraction.
3/4 ÷ 3/8
= 3/4 × 8/3
Simplifying gives us the final answer:
= 2
Let me know if you need any clarifications, thanks!
