The top rectangle has a base b and a height h. The bottom rectangle has a base that is 1/3 of the length of the base of the top
rectangle and a height that is 1/2 of the length of the height of the top rectangle. Devin writes the area of the smaller rectangle as the product 1/3b times 1/2h. Tracy rewrites this as 1/6bh. Which of the students’ expressions makes it easier to see how the areas of the rectangles are related? Explain.
1 answer:
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Answer:
- ∠R = 56°
- ∠Q = 90°
- ∠S = 34°
Step-by-step explanation:
The given triangle is a right angled triangle.
So, the angles in the triangle are :
- 90°
- (2x + 38)°
- (5x - 11)°
Solving according to <u>angle sum property</u>,
Sum of all angles in a triangle is 180°
90° + (2x + 38)° + (5x - 11)° = 180°
117° + 7x = 180°
7x = 180° - 117°
7x = 63°
x = 9
Angles =
2(9) + 38
56°
5(9) - 11
34°
- ∠R = 56°
- ∠Q = 90°
- ∠S = 34°
The angles are 56°, 90° and 34°.