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Luda [366]
2 years ago
10

It is urgent.so anyone solve this

Mathematics
2 answers:
Neko [114]2 years ago
5 0

Answer:

1i.) x = 18

1ii.) x = 40

2.) x = 155

3i.) ABD = 115° (actually this is wrong, idk how to calculate this ;-;

3ii.) BEF = 135°

Step-by-step explanation:

*All triangles add up to 180° in total of all angles added together*

i.) Find x

4x + 3x + 3x = 180°

10x = 180°

10x/10 = 180/10

x = 18

----------------------------------------

ii.) Find x

180 - 115 = 65

65° + 75° + x° = 180°

140° + x° = 180°

x° = 180° - 140°

x = 40°

----------------------------------------

2.) Find x

180 - 145 = 35

45° + 35° + n° = 180°

80° + n° = 180°

n° = 180° - 80°

n° = 100°

*Vertical Angles of n and m (variables I randomly made so I can solve this), so they are both the same*

100 + 55 + m = 180

155 + m = 180

m = 180 - 155

m = 25

25 + x = 180

x = 180 - 25

x = 155

----------------------------------------

3.) Find Angles

i.) ABD

180° - 65° = 115°

Angle ABD = 115°

ii.) BEF

180° - 110° = 70°

70° + 65° + x° = 180

135° + x° = 180°

x° = 180° - 135°

x = 45°

180° - 45° = 135°

Angle BEF = 135°

dlinn [17]2 years ago
4 0

Answer:

Step-by-step explanation:

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Please help me with this problem ! I would appreciate it
marta [7]
Area of triangle: 1/2(base)(height)
Area of rectangle: length × width

Find the area of the triangles on the sides first using 1/2(base)(height).
Plug 8 for the base and 6 for the height.

1/2(8)(6) = 24 units²
Multiply 24 by 2 for both of the triangles.
(24)(2) = 48 units²

Find the area of the rectangles of the object using length × width.
For the rectangle on top, you can find the width using the Pythagorean Theorem: a² + b² = c².

Plug in 6 and 8 for a and b, and find c (width).
6² + 8² = c²
36 + 64 = 100
Square root both sides; √100 = 10.
The width of the rectangle on top is 10.

Now plug 20 for the length and 10 for the width.
20 × 10 = 200 units²

For the rectangle on the bottom, plug in 20 for the length and 8 for the width.
20 × 8 = 160 units²

For the rectangle on the side, plug in 20 for the length and 6 for the width.
20 × 6 = 120 units²

Add up all the areas ⇒ 48 + 200 + 160 + 120 = 528 units².
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