This figure is a triangle. Using the definition of triangles, it is determined that angles 1, 2, and 3 add up to 180 degrees. In this instance, we know the values of 2 combined angles. With this information it is only necessary to subtract the values of angles 1 and 2 (134) from 180 degrees to find the value of angle 3. This leads us to the solution that angle 3 has a value of 46 degrees.
Answer:
Step-by-step explanation:
The proportion that Alan solved was
x/200 = 8/25
His working as shown was
(8)(x) = (25) (200)
8x = 5000
He divided both sides of the equation by 8. It became
8x/8 = 5000/8
x = 625
The correct steps are
25x = 200 × 8 = 1600
Dividing both sides of the equation by 25, it becomes
x = 1600/25
x = 64
Alan's error were:
1) He got the wrong product when he multiplied 25 by 200.
2)He got the wrong quotient when he divided 5,000 by 8.
Answer:
D) x=6√3, y=3√3
Step-by-step explanation:
Given both triangles are 30-60-90 triangles, this means that the length of y will be 9/√3=√81/√3=√(81/3)=√27=3√3
This also means that x will be twice the length of y which means x=2y=2(3√3)=6√3
This means that the correct answer is D) x=6√3, y=3√3
Refer to the diagram below to understand where I got these lengths.