Answer:
Step-by-step explanation:
- Rectangle has properties:
- Diagonals are congruent
- Opposite sides are congruent
- All angles are right
<h3>Given</h3>
- m∠ABD = 30°
- AC = 16 in
- BC = ?
<h3>Solution</h3>
<u>As per properties mentioned above we have:</u>
ΔABD is right triangle with ∠B - 30°, ∠A- 90°, ∠D - 60°
Side opposite to 30 is half of the length of the hypotenuse
<u>AD is opposite to ∠B and BD is the hypotenuse, then:</u>
- AD = 1/2*BD
- AD = 1/2(16)
- AD = 8 in
and
The area of the trapezoid is 37.5 square inches.
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Answer:
8x + 12
Step-by-step explanation:
3(x + 4) + 5x
3x + 12 + 5x
8x + 12
Answer:
Answer is B
Step-by-step explanation:
F(x) is first stretched by factor 4 from '4x³';
It is then reflected in the x-axis, since it is '-4x³';
Lastly, it is shifted down 5 units, because of the '-5'.