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Oliga [24]
3 years ago
5

Do perpendicular lines ever intersect? How many times?

Mathematics
1 answer:
Vikentia [17]3 years ago
3 0

Answer:

Yes two times

Step-by-step explanation:

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If the angle bisectors of a pair of opposite angles of a quadrilateral are the opposite sides of a parallelogram formed by the t
Novosadov [1.4K]

Answer:

The correct answer is;

No, the quadrilateral is not always a parallelogram

Step-by-step explanation:

Since there are only four opposite angles in a quadrilateral there are only two possible angle bisectors of the opposite angles also, the angle bisectors of a pair of opposite angles of a quadrilateral will intersect within the quadrilateral and therefore they cannot form the sides of a parallelogram

Therefore, the answer is no, the quadrilateral is not always a parallelogram.

8 0
3 years ago
The birth rate of a population is b(t) = 2300e0.021t people per year and the death rate is d(t)= 1450e0.018t people per year, fi
Cerrena [4.2K]

Answer:

38,674.This area represents the increase in population over a 10-year period.

Step-by-step explanation:

When graphed over the interval 0 ≤ t ≤ 10, the birth rate is more than the death rate. This means the area between the two curves is the amount of births subtract the amount of deaths. This results in an area which means the increase of the population.

The birth rate is graphed in green and the death rate is graphed in blue.

To find the area, take the integral of the difference of the functions:

\int\limits^{10}_0 {2300e^{0.021t} - 1450e^{0.018t} } \, dt \\\\\frac{2300e^{0.021t}}{0.021} -  \frac{1450e^{0.018t}}{0.018} \\\\(\frac{2300e^{0.21}}{0.021} -\frac{1450e^{0.18}}{0.018} ) - (\frac{2300}{0.021}- \frac{1450}{0.018} ) \\\\135117.12 - 96442.51 \\\\38,674

7 0
3 years ago
Helppppp pleaseeeeee
Alex73 [517]

Answer:

6 ft

Step-by-step explanation:

6^3 = 216

4 0
2 years ago
The Hamid family installed a cylindrical pool in their backyard. The
Alex787 [66]

Answer:

4,046.4 ft^{2}

Step-by-step explanation:

4 0
3 years ago
Could someone help me finding out the missing answers?
Tema [17]

Answer:

See below.

Step-by-step explanation:

The Slope of PQ is (v - z) / (w - x).

The slope of P'Q' =

(v + b) - (z + b)

---------------------   =   (v - z) / (w - x)

(w + a - (x + a)

Both lines have a slope that is (v - z)/ (w - x).

So both lines are parallel.

7 0
3 years ago
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