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2 years ago

Find the area of the trapezoid 3cm, 3cm, 8cm

Mathematics

1 answer:

love history [14]2 years ago

7 0

The area of the trapezoid is the amount of space on it, and the value of the area is 16.5 square cm

<h3>How to determine the area?</h3>

The given parameters are:

Parallel sides = 3cm and 8 cm

Height = 3cm

The area is then calculated using:

Area = 0.5 * (Sum of parallel sides) * Height

So, we have:

Area = 0.5 * (3 + 8) * 3

Evaluate

Area = 16.5

Hence, the area of the trapezoid is 16.5 square cm

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You're going on a 1211-mile trip, and your car gets about 29 miles per gallon. Gas prices along your route average $3.40. Estima

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Answer:

Using the estimate:

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3 years ago

Lines AC←→ and DB←→ intersect at point W. Also, m∠DWC=138° .

mr_godi [17]

m∠DWC=138°, ∠AWB = 138°, ∠AWD = 42°, ∠BWC = 42°

Solution:

Line $\overrightarrow{A C} \text { and } \overrightarrow{B D}$ intersect at a point W.

Given $m \angle D W C=138^{\circ}$ .

Vertical angle theorem:

If two lines intersect at a point then vertically opposite angles are congruent.

To find the measure of all the angles:

∠AWB and ∠DWC are vertically opposite angles.

Therefore, ∠AWB = ∠DWC

⇒ ∠AWB = 138°

Sum of all the angles in a straight line = 180°

⇒ ∠AWD + ∠DWC = 180°

⇒ ∠AWD + 138° = 180°

⇒ ∠AWD = 180° – 138°

⇒ ∠AWD = 42°

Since ∠AWD and ∠BWC are vertically opposite angles.

Therefore, ∠AWD = ∠BWC

⇒ ∠BWC = 42°

Hence the measure of the angles are

m∠DWC=138°, ∠AWB = 138°, ∠AWD = 42°, ∠BWC = 42°.

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