9514 1404 393
Answer:
a = 64, b = 90, c = 26, d = 90, e = 26, f = 120, g = 120, h = 60,
i = 56, j = 124, k = 56
Step-by-step explanation:
Vertical angles are congruent; linear pairs are supplementary; two angles dividing a right angle are complementary. These are the angle relations you need to know to solve this.
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Working from the top and from the given angles, ...
h = 60°
f = g = 180° -h = 120°
j = 124°
k = i = 180° -124° = 56°
a = 64°
b = d = 90°
c = e = 90° -64° = 26°
In summary, measures in degrees are ...
a = 64, b = 90, c = 26, d = 90, e = 26, f = 120, g = 120, h = 60,
i = 56, j = 124, k = 56
Answer:
Step-by-step explanation: y=2x−3
Let the weight of triangle be x units. You are given that the weight of square is 1 unit.
1) On the left side of the balanced beam you can see 3 triangles and 5 squares. The weight on left side is 3·x+5·1=3x+5 units.
2) On the right side of the balanced beam you can see 2 triangles and 7 squares. The weight on right side is 2·x+7·1=2x+7 units.
3) If the whole system is balanced, then the weights on left and right sides are equal:
3x+5=2x+7.
Solve this equation:
3x-2x=7-5,
x=2 units.
Answer: option A
