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luda_lava [24]
3 years ago
14

A group of 50 friends meet for lunch. How many fist bumps are exchanged if each friend must fist bump with each of the 49 others

Mathematics
1 answer:
m_a_m_a [10]3 years ago
7 0

If each of the 50 fist bump 499


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Please solve for M<QTR​
Andru [333]

Answer:

m∠QTR = 98°

Step-by-step explanation:

From the picture attached,

Radii of the circle are TQ and TR measuring equal lengths.

Therefore, ΔTQR is a isosceles triangle.

Opposite angles of the equal sides will be equal in measure.

m∠RQT = m∠TRQ = 41°

By angle sum theorem,

m∠RQT + m∠TRQ + m∠QTR = 180°

41° + 41° + m∠QTR = 180°

m∠QTR = 180° - 82°

              = 98°

Therefore, m∠QTR = 98°

7 0
2 years ago
Helpppp me please!!!
Semenov [28]

To find the value of q, we need to find d(-8). Put another way, we need to find the value of d(x) when x = -8

d(x) = -\sqrt{\frac{1}{2}x+4}

d(-8) = -\sqrt{\frac{1}{2}(-8)+4}

d(-8) = -\sqrt{-4+4}

d(-8) = -\sqrt{0}

d(-8) = 0

So this means q = 0. Note that -0 is just 0.

===========================================

The value of r will be a similar, but now we use f(x) this time.

Plug in x = 0

f(x) = \sqrt{\frac{1}{2}x+4}

f(0) = \sqrt{\frac{1}{2}*0+4}

f(0) = \sqrt{0+4}

f(0) = \sqrt{4}

f(0) = 2

Therefore, r = 2.

===========================================

For s, we plug x = 10 into f(x)

f(x) = \sqrt{\frac{1}{2}x+4}

f(10) = \sqrt{\frac{1}{2}*10+4}

f(10) = \sqrt{5+4}

f(10) = \sqrt{9}

f(10) = 3

So s = 3.

===========================================

Finally, plug x = 10 into d(x) to find the value of t

d(x) = -\sqrt{\frac{1}{2}x+4}

d(10) = -\sqrt{\frac{1}{2}(10)+4}

d(10) = -\sqrt{5+4}

d(10) = -\sqrt{9}

d(10) = -3

A shortcut you could have taken is to note how d(x) = -f(x), so this means

d(10) = -f(10) = -9 since f(10) = 9 was found in the previous section above.

Whichever method you use, you should find that t = -3.

===========================================

<h3>In summary:</h3><h3>q = 0</h3><h3>r = 2</h3><h3>s = 3</h3><h3>t = -3</h3>
8 0
3 years ago
An unknown number b is 10 more than an unknown number k. the number b is also k less than 8. the equations to find k and b are s
Dmitriy789 [7]
Just add the two equations together.
2b = 18
b = 18/2
b = 9

9 = k + 10
9 - 10 = k
k = - 1

6 0
3 years ago
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HELP DUE IN 15 MINUETS!!!<br> y = - 2/3 x + 1 , which is the graph of this equation?
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The y-intercept is 1, the slope is -2/3, so the graph is B, the second one down.
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I need to find the surface of the figure
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The formula is [(l x w) + (w x h) + (h x l)] x 2
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