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2 years ago

Given: ABCD is a parallelogram. Prove:

Mathematics

1 answer:

lutik1710 [3]2 years ago

8 0

Answer:

ABCD is a parallelogram/Given

Line AB is parallel to line DC/Opposite sides of a parallelogram are equal

Line FD is congruent to Line FD/Reflexive property

Line BE is congruent to line BE/Reflexive property

Line AC is congruent to Line AC/Reflexive Property

Angle A is congruent to Angle BCD by Alternate Interior Angle Theorem

Angle BCD is congruent to Angle FCE by Vertical Angles Theorem

Angle A is congruent to Angle BCD by Transitive Property

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A warehouse is 55 yards long, 35 yards wide, and 5 yards high. What is the area of the warehouse floor? If the warehouse is fill

amid [387]

Answer:

The area of the warehouse floor is 1925yd²

The volume of the boxes is 4812.5yd³

Step-by-step explanation:

First we have to calculate the area, for this we must multiply the length by the width

a = area

l = long = 55yd

w = width = 35yd

a = l * w

a = 55yd * 35yd

a = 1925yd²

to calculate the volume we have to multiply the area by the height

asks us for the volume for half the height so we have to divide the height by 2

a = area = 1925yd²

h = height = 5yd/2 = 2.5yd

v = volume

v = a * h

v = 1925yd² * 2.5yd

v = 4812.5yd³

The area of the warehouse floor is 1925yd²

The volume of the boxes is 4812.5yd³

5 0

3 years ago

HELP PLS!!! find x and y please show steps

loris [4]

Answer:

Step-by-step explanation:

The sum of measures of angles in triangle is 180°

so:

180° - 90° - 45° = 45°

two angles angles of the same measure, that means: x = 7

so:

$7^2+7^2=y^2\\\\y^2=7^2\cdot2\\\\y=\sqrt{7^2\cdot2}\\\\\bold{y=7\sqrt2}$

4 0

3 years ago

Which of the following is the product of the rational expressions shown below?

kotykmax [81]

Answer: OPTION D.

Step-by-step explanation:

You have the expressions given in the problem:

$\frac{2}{2x+3}*\frac{9}{x}$

To find the product of both expression you must multiplicate them.

You must multiply the numerators of both expression and the denominators of both expression.

Keeping the above on mind, you obtain that the product is:

$\frac{2*9}{(2x+3)x}$

$\frac{18}{2x^{2}+3x}$

3 0

3 years ago

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The random variable X is exponentially distributed, where X represents the waiting time to be seated at a restaurant during the

erastova [34]

Answer:

The probability that the wait time is greater than 14 minutes is 0.4786.

Step-by-step explanation:

The random variable X is defined as the waiting time to be seated at a restaurant during the evening.

The average waiting time is, β = 19 minutes.

The random variable X follows an Exponential distribution with parameter $\lambda=\frac{1}{\beta}=\frac{1}{19}$ .

The probability distribution function of X is:

$f(x)=\lambda e^{-\lambda x};\ x=0,1,2,3...$

Compute the value of the event (X > 14) as follows:

$P(X>14)=\int\limits^{\infty}_{14} {\lambda e^{-\lambda x}} \, dx=\lambda \int\limits^{\infty}_{14} {e^{-\lambda x}} \, dx\\=\lambda |\frac{e^{-\lambda x}}{-\lambda}|^{\infty}_{14}=e^{-\frac{1}{19} \times14}-0\\=0.4786$

Thus, the probability that the wait time is greater than 14 minutes is 0.4786.

7 0

3 years ago

136 is grater than 87

Luden [163]

Answer:

true

Step-by-step explanation:

4 0

3 years ago

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