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Answers
Answer:
16. z = 90°
y = 45°
x = 50°
17. 7cm
18. 144m²
19. 26 cm
Step-by-step explanation:
16. The angle at the base which is 90° is a supplement to angle z. Supplementary angles measure 180° together. So, z + 90° = 180°
z = 180° - 90°, z = 90°
Angle z, 40 degree angle and angle x form a triangle together, the sum of the interior angles of a triangle is 180°. So,
90° + 40° + x = 180°
130° + x = 180°
x = 180° - 130°
x = 50°
The complete triangle measures 40° + 50° + 45° + y
135° + y = 180°
y = 180° - 135°
y = 45°
17. The longest chord of the circle is its diameter.
Diameter = Radius x 2
The radius is given 3.5 cm,
Diameter = 3.5 x 2
∴ Diameter = 7 cm
18. The perimeter of a square = side x 4
If the perimeter is 48,
48 = side x 4
48 / 4 = side
12 = side
The area of a square is side²
The area = 12²
Therefore, the area of the lawn = 144m²
19. The area of a rectangle = length x breadth
If the area is 1560 sq.cm and the length is 60,
1560 = 60 x breadth
1560 / 60 = breadth
∴ 26 = breadth of the rectangle
I hope this helped you. If you liked the answer, it would be a great help if you marked me as the brainliest!
Answer:
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Step by step explanation:
Answer:
16. z = 90°
y = 45°
x = 50°
17. 7cm
18. 144m²
19. 26 cm
Step-by-step explanation:
16. The angle at the base which is 90° is a supplement to angle z. Supplementary angles measure 180° together. So, z + 90° = 180°
z = 180° - 90°, z = 90°
Angle z, 40 degree angle and angle x form a triangle together, the sum of the interior angles of a triangle is 180°. So,
90° + 40° + x = 180°
130° + x = 180°
x = 180° - 130°
x = 50°
The complete triangle measures 40° + 50° + 45° + y
135° + y = 180°
y = 180° - 135°
y = 45°
17. The longest chord of the circle is its diameter.
Diameter = Radius x 2
The radius is given 3.5 cm,
Diameter = 3.5 x 2
∴ Diameter = 7 cm
18. The perimeter of a square = side x 4
If the perimeter is 48,
48 = side x 4
48 / 4 = side
12 = side
The area of a square is side²
The area = 12²
Therefore, the area of the lawn = 144m²
19. The area of a rectangle = length x breadth
If the area is 1560 sq.cm and the length is 60,
1560 = 60 x breadth
1560 / 60 = breadth
∴ 26 = breadth of the rectangle
I hope this helped you. If you liked the answer, it would be a great help if you marked me as the brainliest.