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nataly862011 [7]
3 years ago
12

PLEASE HELP WILL MARK BRAINLIEST! What is the area of this figure?

Mathematics
1 answer:
pshichka [43]3 years ago
5 0

Answer:

The area of the figure is C. 146 cm²

Step-by-step explanation:

The figure contains trapezium and a triangle.

Area of the figure = Area of trapezium + Area of triangle

So, the area of the trapezium is given by

Area =

1/2 x (a + b) x h

1/2 x (14 + 4) x 10

1/2 x 18 x 10

= 90 cm²

Height of triangle is given by

18 - 10 = 8cm

The area of the triangle would be

1/2 x base x height

1/2 x 14 x 8

= 56 cm²

The total area of the figure is given by

90 + 56 = 146 cm²

So, C is correct.

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11. In AWTY, if mZW is five less than twice mZY and mZX is 21 more than m_Y find the measure
wolverine [178]

9514 1404 393

Answer:

  angles (W, X, Y) = (77°, 62°, 41°)

Step-by-step explanation:

<u>Given</u>:

  ΔWZY

  ∠W = 2(∠Y) -5°

  ∠X = ∠Y +21°

<u>Find</u>:

  ∠X, ∠Y, ∠W

<u>Solution</u>:

Using angle measures in degrees, we have ...

  ∠X + ∠Y + ∠Z = 180

  (∠Y +21) +∠Y + (2(∠Y) -5) = 180

  4(∠Y) +16 = 180 . . . . . simplify

  ∠Y +4 = 45 . . . . . . . . . divide by 4

  ∠Y = 41 . . . . . . . . . . . . subtract 4

  ∠W = 2(41) -5 = 77

  ∠X = 41 +21 = 62

The angle measures of angles (W, X, Y) are (77°, 62°, 41°), respectively.

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Explanation:

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