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2 years ago

15 points!! Look at the picture to see the problem. What do you think?

Mathematics

2 answers:

Anna007 [38]2 years ago

6 0

Answer:

I don't remember well, and I'm not sure if this is correct, but, I think the answer is This is beacuse ∠FCD are facing with ∠CDG meaning it would be a same side interior angle.

Mashcka [7]2 years ago

6 0

Answer:

Step-by-step explanation:

If you extend BF until it meets AG and consider the the triangle CD and the meeting point, then angle FCD is an interior angle.

If on the other hand it might just be the supplement of DCB which would make it neither. I can see why you want us to take a shot at it. That is a seat of my pants answer. If someone has a better reason, take that one.

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You can represent an odd integer whith the expression 2n+1, where n is any integer . Write and solve an equation to find three c

oksian1 [2.3K]

Any odd number can be expressed by 2n+1.

For example,

2n+1=111
2n=110
n=110/2=55

means that 111 is 2n+1 for n=55

Thus if an odd number is 2a+1, the next few numbers are as follows:

2a+1, 2a+2, 2a+3, 2a+4, 2a+5

So 2a+1, 2a+3 and 2a+5 are 3 consecutive odd numbers.

Back to our problem:

three consecutive odd numbers whose sum is 63 are:

(2n+1)+(2n+3)+(2n+5)=63

6n+9=63

6n=63-9=54

n=54/6=9

2n+1=2*9+1=18+1=19, the 2 next odd numbers are 21 and 23

Answer: 19, 21, 23

5 0

2 years ago

Find the midpoint of the line segment whose endpoints are (-2, 5) and (4, -9).Find the midpoint of the line segment whose endpoi

jek_recluse [69]

Answer:

The midpoint is $(1,-2)$

Step-by-step explanation:

we know that

The formula to calculate the midpoint between two points is equal to

$M(\frac{x1+x2}{2},\frac{y1+y2}{2})$

we have

$(x1,y1)=(-2,5)$

$(x2,y2)=(4,-9)$

substitute

$M(\frac{-2+4}{2},\frac{5-9}{2})$

$M(1,-2)$

8 0

2 years ago

- {8, 2.1, 145, 178, 3}<br> which one is irrational

ratelena [41]

Answer:

These numbers are not irrational .

Step-by-step explanation:

They are all whole numbers with no decimal points and ongoing numbers.

4 0

2 years ago

The radius of the base of a cylinder is decreasing at a rate of 121212 kilometers per second. The height of the cylinder is fixe

WARRIOR [948]

Answer:

7536 $km^3/sec$

Step-by-step explanation:

Given that:

Rate of decreasing of radius = 12 km/sec

Height of cylinder is fixed at = 2.5 km

Radius of cylinder = 40 km

To find:

The rate of change of Volume of the cylinder?

Solution:

First of all, let us have a look at the formula for volume of a cylinder.

$Volume = \pi r^2h$

Where $r$ is the radius and

$h$ is the height of cylinder.

As per question statement:

$r$ = 40 km (variable)

$h$ = 2.5 (constant)

$\dfrac{dV}{dt} = \dfrac{d}{dt}\pi r^2h$

As $\pi, h$ are constant:

$\dfrac{dV}{dt} = \pi h\dfrac{d}{dt} r^2\\\Rightarrow \dfrac{dV}{dt} = \pi h\times 2 r\dfrac{dr}{dt} \\$Putting the values:$\\\Rigghtarrow\dfrac{dV}{dt} = 3.14 \times 2.5\times 2 \times 40\times 12 \\\Rigghtarrow\dfrac{dV}{dt} = 7536\ km^3/sec$