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DedPeter [7]
1 year ago
8

use your formula to determine the height of a trapezoid with an area of 24 square centimeters and base length of 9 cm and 7 cm

Mathematics
1 answer:
NikAS [45]1 year ago
5 0

Answer

The height of the trapezoid = 3 cm

Explanation

The area of a trapezoid is given as

Area = ½ (a + b) h

where

a and b = base lengths of the trapezoid

a = 9 cm

b = 7 cm

h = height of the trapezoid = ?

Area = 24 cm²

Area = ½ (a + b) h

24 = ½ (9 + 7) h

24 = ½ (16) h

24 = 8h

8h = 24

Divide both sides by 8

(8h/8) = (24/8)

h = 3 cm

Hope this Helps!!!

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Tju [1.3M]

Answer:

Option 2: m∠1 = 147°, m∠2 = 80°, m∠3 = 148°

Step-by-step explanation:

Step 1: Consider triangle ABC from the picture attached below.

Lets find angle x

x + 47 + 33 = 180 (because all angles of a triangle are equal to 180°)

x = 100°

Angle x = Angle y = 100° (because vertically opposite angles are equal)

Step 2: Find angle 2

Angle 2 = 180 - angle x (because angle on a straight line is 180°)

Angle 2 = 180 - 100

Angle 2 = 80°

Step 3: Find angle z

48 + y + z = 180° (because all angles of a triangle are equal to 180°)

z = 32°

Angle 3 = 180 - angle z (because angle on a straight line is 180°)

Angle 3 = 180 - 32

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Step 4: Find angle 1

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Therefore m∠1 = 147°, m∠2 = 80°, m∠3 = 148°

Option 2 is correct

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