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4 years ago

The diagram shows parallel lines p,q and r cut by transversal t. Draw a line from each angle pair to correct direction

Mathematics

2 answers:

SashulF [63]4 years ago

4 0

Angle 1 and 4 are alternate interior angles
angle 2 and 3 are corresponding angles
angle 3 and 4 are vertical angles
angle 4 and 6 are same side interior angles

oee [108]4 years ago

4 0

Answer with explanation:

Lines, p║q║r, is cut by a transversal t.

∠1 and ∠4, →→Corresponding Angles.

∠2 and ∠3,→→Same Side Interior Angles.

∠3 and ∠4,→→Vertical Angles

∠4 and ∠ 6,→→Alternate Interior Angles.

≡m║n, is cut by a transversal, t.

A⇒∠1 ≅ ∠5→→Corresponding Angles.

B⇒∠2≅∠4→→Vertically Opposite angles.

E⇒∠5, and ∠4, are Supplementary.

Why, not Option D, because the word linear pair has been used not interior angles on the same side of Transversal. The word linear pair means, when sum of two adjacent angles on the same side of straight line is 180 degree, then these two angles are said to form linear pair.

Therefore , option D has not been included.

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The rate of change of the volume V of water in a tank with respect to time t is directly proportional to the cubed root of the v

Svetllana [295]

Answer:

The differential equation becomes -

$\frac{dV}{dt} = k\sqrt[3]{V}$ i.e. $\frac{dV}{dt} = kV^{\frac{1}{3} }$

Step-by-step explanation:

Given - The rate of change of the volume V of water in a tank with respect to time t is directly proportional to the cubed root of the volume.

To find - Write a differential equation that describes the relationship.

Proof -

Rate of change of volume V with respect to time t is represented by $\frac{dV}{dt}$

Now,

Given that,

The rate of change of the volume V of water in a tank with respect to time t is directly proportional to the cubed root of the volume.

⇒ $\frac{dV}{dt}$ ∝ $\sqrt[3]{V}$

Now,

We know that, when we have to remove the Proportionality sign , we just put a constant sign.

Let k be any constant.

So,

The differential equation becomes -

$\frac{dV}{dt} = k\sqrt[3]{V}$ i.e. $\frac{dV}{dt} = kV^{\frac{1}{3} }$

6 0

3 years ago

The length of the hypotenuse of a right triangle is 24. If the length of one leg is 8, what is approximate length of the other l

Verdich [7]

Something that a right triangle is characterised by is the fact that we may use Pythagoras' theorem to find the length of any one of its sides, given that we know the length of the other two sides. Here, we know the length of the hypotenuse and one other side, therefor we can easily use the theorem to solve for the remaining side.

Now, Pythagoras' Theorem is defined as follows:

c^2 = a^2 + b^2, where c is the length of the hypotenuse and a and b are the lengths of the other two sides.

Given that we know that c = 24 and a = 8, we can find b by substituting c and a into the formula we defined above:

c^2 = a^2 + b^2

24^2 = 8^2 + b^2 (Substitute c = 24 and a = 8)

b^2 = 24^2 - 8^2 (Subtract 8^2 from both sides)

b = √(24^2 - 8^2) (Take the square root of both sides)

b = √512 (Evaluate 24^2 - 8^2)

b = 16√2 (Simplify √512)

= 22.627 (to three decimal places)

I wasn't sure about whether by 'approximate length' you meant for the length to be rounded to a certain number of decimal places or whether you were meant to do more of an estimate based on your knowledge of surds and powers. If you need any more clarification however don't hesitate to comment below.

4 0

3 years ago

Please help i’m stuck!!<br> FIND GE AND FJ<br> HE = 6<br> FE= 8

dexar [7]

Answer:

GE=10

FJ=5

Step-by-step explanation:

We know that in a traingle

$a^{2}+b^{2} =c^{2}$

a=HE=6

b=FE=8

Once we enter it into the equation, we find that we get

36+64=100

The square root of 100=10

GE=HF so HE=10.

Half of HE(10) is FJ(5)

Hope this help :)

6 0

3 years ago

Help!!!!! please!!!!!

AlladinOne [14]

Answer:

Step-by-step explanation:

Diameter = 32 in

r = 32/2 = 16 in

Surface area of sphere = 4πr²

= 4 * 3.142 * 16 * 16

= 3217.408

= 3217 in²

3 0

3 years ago

Read 2 more answers

GEOMETRY Find the the area of the polygon with the given vertices.

Mila [183]

The answer is c

Explanation: I just know so…

3 0

2 years ago