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liq [111]
3 years ago
11

What is angle M? Just checking work

Mathematics
1 answer:
Artist 52 [7]3 years ago
6 0
Sum of interior angles = 180
180 - 60 = 120

120/4 = 30
m<L = m<A = 60
m<M = 30
m<C = m<N = 3(m<M) = 3(30) = 90


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Find the equation (in standard form) whose center is (5, -3) and goes through (2, 5).
yanalaym [24]
We can write this as

(x - 5)^2 + (y + 3)^2 = r^2

where r = radius

Plugging in the point (2,5) we have

(2-5)^2 + (5+3)^2 = r^2
r^2 =  9 + 64 = 73
so the required equation is

(x - 5)^2 + (y + 3)^2 = 73
3 0
3 years ago
in a class of 40 students, 24 are over the age of 21 and 16 are 21 or younger. Biff is over the age of 21. A student is selected
LenKa [72]

Answer:

3. 60% probability the student is over the age of 21.4

4. 4.17% probability Biff was selected if you know the student selected was over the age of 21.

5. 0% probability Biff was selected if you know the student selected was 21 or younger

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcoes.

In this question:

40 students

24 over the age of 21.

16 are 21 or younger.

3. Find the probability the student is over the age of 21.

24 of the 40 students are over the age of 21.

24/40 = 0.6

60% probability the student is over the age of 21.4

4. Find the probability Biff was selected if you know the student selected was over the age of 21.

24 students over the age of 21, one of which is Biff.

1/24 = 0.0417

4.17% probability Biff was selected if you know the student selected was over the age of 21.

5. Find the probability Biff was selected if you know the student selected was 21 or younger

Biff is not 21 or younger, he is over 21, so there are no desired outcomes.

So, 0% probability Biff was selected if you know the student selected was 21 or younger

8 0
3 years ago
2(n+5)=-2 <br><br> I need the steps
Eva8 [605]

Answer:

n = -6

Step-by-step explanation:

2 ( n + 5 ) = -2

First, solve the brackets.

2n + 10 = -2

Now take 10 to the right side.

2n + 10 -10 = -2 - 10

2n = -12

Then divide both sides by 2.

\frac{2n}{2} =\frac{-12}{2}

And now you'll the value of n.

n = ( -6 )

6 0
2 years ago
What is the volume in cubic centimeters of a cube that measures 13 cm wide
Andrei [34K]

Answer:

2197 cubic centimeters

Step-by-step explanation:

13^3=2197

8 0
3 years ago
NC Check-Ins 2 Math Grade 7 - NC Check-In 2- 2020-21 - Form 5657
sveticcg [70]

Answer:

33

Step-by-step explanation:

Given that :

Card numbered from: 500 - 799

The required number of values must meet both conditions 1 and 2

Condition 1 : first of the 3 digits is odd :

500 - 599 = 100

700 - 799 = 100

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Condition 2: three digits is divisible by 6

{500 - 599} and {700 - 799}

The numbers divisible by 6 are 33

7 0
2 years ago
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