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gizmo_the_mogwai [7]
3 years ago
9

Given D(5, 7) and E(3, -3), find the midpoint of DE.​

Mathematics
1 answer:
just olya [345]3 years ago
4 0

Answer:

(4,2  )

Step-by-step explanation:

Midpoint Formula: (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}  )

Simply plug in your 2 coordinates into the midpoint formula to find midpoint:

(\frac{5+3}{2},\frac{7-3}{2}  )

(\frac{8}{2},\frac{4}{2}  )

(4,2  )

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Answer: Choice C

The probability of getting all heads is the same as the probability of getting all tails

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

Explanation:

H = heads

T = tails

In the first row, we have HHH to signify three heads. This shows up 1 time out of 8 outcomes total (each row is a different outcome). The probability of getting HHH is 1/8.

In the last row, TTT means we got three tails. Like with HHH, it only shows up once out of eight times, so the probability of getting TTT is 1/8 as well.

Therefore, both HHH and TTT have the same probability. This is because both sides of the coin have equal chances to land on. If the coin was more biased toward heads for example, then HHH and TTT would have different probabilities.

7 0
3 years ago
In triangle ABC, m∠A=(6x+9)∘, m∠B=(x−8)∘, and the exterior angle at C is 141∘.
Sphinxa [80]

Answer:

12°

Step-by-step explanation:

Let's start with the easy first.

We know that m∠C is 39° because together ∠C and the exterior angle equal 180°. And 180 - 141 = 39.

Now, we can use this to find the remaining two angles.

180° - 39° = 141°

So, this means that we can set up m∠A + m∠B = 141°.

6x + 9 + x - 8 = 141

7x + 1 = 141

7x = 140

x = 20

Finally, we can plug in for our x value and find m∠B.

m∠B = x - 8

m∠B = 20 - 8

m∠B = 12°

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