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4 years ago

Find the value of x using the angles

Mathematics

1 answer:

Arturiano [62]4 years ago

8 0

There are two things you can do with angles. You can 1) set them equal to each other or 2) set their sum equal to a definite angle measure (like 180 or 90).
These angles are congruent. This is because they are opposite angles, and opposite angles are congruent. So in this case, we set these equal to each other.
1) Set up: x + 104 = 3x
2) Isolate x: 2x = 104
x = 52
I got x = 52, but it is always helpful to double check work. Hope this helps!

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7. E(5, 4), F(8, 1) what is the slope of the line

katovenus [111]

Answer:

-1

Step-by-step explanation:

m = y2 - y1 / x2 - x1

= 1 - 4 / 8 - 5

= -3 / 3

= -1

7 0

2 years ago

Find the length of the arc of the circular helix with vector equation r(t) = 2 cos t i + 2 sin t j + tk from the point (2, 0, 0)

USPshnik [31]

$\vec r(t)=2\cos t\,\vec\imath+2\sin t\,\vec\jmath+t\,\vec k$

$\implies\vec r'(t)=-2\sin t\,\vec\imath+2\cos t\,\vec\jmath+\vec k$

$\implies\|\vec r'(t)\|=\sqrt{(-2\sin t)^2+(2\cos t)^2+1^2}=\sqrt5$

Then the length of the arc is

$\displaystyle\int_0^{2\pi}\|\vec r'(t)\|\,\mathrm dt=\sqrt5\int_0^{2\pi}\mathrm dt=2\sqrt5\,\pi$

4 0

3 years ago

4/6 written as a ratio is <br>

earnstyle [38]

Answer:

4:6

Step-by-step explanation:

Ratios and fractions can be written interchangably

6 0

3 years ago

Read 2 more answers

What if we draw three socks from the box instead. what is the probability that we draw a matching pair? (having all three socks

frutty [35]

There is a chance of 1/16*1/15 that she gets the specific socks pair according to laws of probability and the counting principle but thats not how it will work over here.

As we should be guaranteed that she gets the number of socks she obviously must take out around 9 socks as we are taking the worst case scenario where all the socks that come out are the different ones so the ninth sock must match any of the others.

But if we draw three socks obviously the probability is 1/16*1/15*13/14 as we dont want the third one to be same. We can multiply the answer by 3 as it can be in three different orders.

8 0

3 years ago

Someone please help me !!!

alexandr1967 [171]

Because this triangle is a right traingle and has one angel that is 45 degrees, the third angle must be 45 degrees to because 90+45+45=180. With that, km must be the same length as lm. we know lm is 5 so km is 5 too. No we can plug this into the Pythagorean Theorem too get

5^2+5^2=c^2

25+25=c^2

50=c^2

√50=√c^2

√25*2=c

5√2=c

Thats your answer to the length of lk.

3 0

3 years ago