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ratelena [41]
3 years ago
7

If (angle)1 = 7x and (angle)4 = 3x + 20, what is the value of x?

Mathematics
2 answers:
Semenov [28]3 years ago
7 0
The value of x is 5. Angle one and four are vertical. You can do this by writing 7x = 3x + 20. Isolate the variable by moving 3x to the other side. If you do this, 3x becomes negative, and you end up with 7x-3x = 20 --> 4x = 20.
x=5.
FrozenT [24]3 years ago
4 0
m\angle 1=m\angle4\\\\therefore:\\\\7x=3x+20\ \ \ |-3x\\\\4x=20\ \ \ |:4\\\\x=5

Answer: 5

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Hey you!<br><br> I think I need your help with this one - Thanks~
timofeeve [1]
Hey Gary!

The volume of a cylinder is PiR^2h, or 3.14(r^2)h.
Let's define our measures.
Pi is 3.14 (simplified). However, our answer is requested in terms of Pi.
Our radius is 5.
Our height is 14.
Let's plug in our numbers.

5^2 • 14 • Pi
5^2 = 25
25 • 14 = 350.

350Pi is our answer.
However, rememver that we need to end our answer in units cubed, as we are using a 3-dimensional figure. Our answer is 350Pi in^3.
Your answer is B.)

I hope this helps!



5 0
2 years ago
Read 2 more answers
Suppose a football is kicked with an initial velocity of 82 ft/sec., at an angle of
satela [25.4K]

Answer:

The position P is:

P = 87\^x + 75\^y ft     <u><em> Remember that the position is a vector. Observe the attached image</em></u>

Step-by-step explanation:

The equation that describes the height as a function of time of an object that moves in a parabolic trajectory with an initial velocity s_0 is:

y(t) = y_0 + s_0t -16t ^ 2

Where y_0 is the initial height = 0 for this case

We know that the initial velocity is:

82 ft/sec at an angle of 58 ° with respect to the ground.

So:

s_0 = 82sin(58\°) ft/sec

s_0 = 69.54 ft/sec

Thus

y(t) = 69.54t -16t ^ 2

The height after 2 sec is:

y(2) = 69.54 (2) -16 (2) ^ 2

y(2) = 75\ ft

Then the equation that describes the horizontal position of the ball is

X(t) = X_0 + s_0t

Where

X_ 0 = 0 for this case

s_0 = 82cos(58\°) ft / sec

s_0 = 43.45 ft/sec

So

X(t) = 43.45t

After 2 seconds the horizontal distance reached by the ball is:

X (2) = 43.45(2)\\\\X (2) = 87\ ft

Finally the vector position P is:

P = 87\^x + 75\^y ft

6 0
3 years ago
A bag contains ten marbles of equal size and weight. One marble is blue, one marble is white, three are yellow, and five marbles
Andrej [43]
Itz B because 10-2=8
It would be like this 2/10 (btw it's not division...is a fraction) simplified to 1/5
4 0
3 years ago
What is the value of y?<br> 72°<br> A. 1080<br> B. 540<br> C. 36°<br> D. 720
nadya68 [22]

Answer:

B. 54

Explanation:

Take 72 from 180.

180 - 72 = 108.

Since there are two y's AND they're congruent, divide 108 by two and get 54.

3 0
2 years ago
Read 2 more answers
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pentagon [3]
Answer: Should be X= 1/15
4 0
2 years ago
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