All categories

2 years ago

If M ⊥ N and L ∥ M, then _____

Mathematics

1 answer:

joja [24]2 years ago

5 0

Answer:

L ⊥ N

Step-by-step explanation:

Since M and N are perpendicular, and L is parallel to M, anything that's perpendicular to M is also perpendicular to L. In fact, since we have parallel lines, we now have many sets of congruent angles, but the only ones we know the actual measurements of are the right angles from the perpendicular lines.

You might be interested in

A developer wants to enclose a rectangular grassy lot that borders a city street for parking. If the developer has 220 feet of f

MrRa [10]

Answer:

6050 square feet

Step-by-step explanation:

Based on the diagram attached, the area which the available fencing can enclose will measure X x Y feet. As the total length of fencing available is 220 feet, the fenced perimeter must equal 220 feet

$Y + 2X = 220$

$Y = 220 - 2X$

Area of a rectangle is determined by multiplying the length of perpendicular sides:

$Area = X*Y$

$Area = X(220 - 2X)$

$Area = 220X - 2X^{2}$

The derivative of an equation determines the slope at any given point of that equation. At the maximum or minimum point of the equation, the slope will be zero. Therefore, differentiating the equation for area and equating it to zero will give the value of X where the area is maximum.

A simple variable can be differentiated using below concept:

$f(a) = a^{b}$

$f'(a) = ba^{b-1}$

Using the above concepts to differentiate Area and calculate X will give:

$Area = 220X - 2X^{2}$

$Area' = 220 - 4X = 0$

$X = 55$

Calculating Y:

$Y = 220 - 2X$

$Y = 220 - 2(55)$

$Y = 110$

Calculating Area:

$Area = X*Y$

$Area = 55*110$

$Area = 6050\sqfeet$

8 0

2 years ago

What is the range of the exponential function f(x)=2•7x

sergeinik [125]

f(x) cannot be 0 or less than zero, but can approach+ infinity

Answer is (0, ∞)

5 0

3 years ago

What are the common multipls of 2 and 3 between 2 and 25

Colt1911 [192]

Answer:

6, 12, 18, and 24

Step-by-step explanation:

Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24. Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24. Common multiples of 2 and 3 include 6, 12, 18, and 24.

4 0

3 years ago

Yeahhh if you could help that would be great

stellarik [79]

Answer: what wrong

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Mary buys a reel of thread for sewing. There are 10 m of thread on the reel. She uses 210 cm. How much is left on the reel in ce

galben [10]

10meters=1000cm
1000-210=890
Mary has 890 centimeters of thread left on the reel.

5 0

3 years ago