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dalvyx [7]
3 years ago
10

In Triangle ABC, angle A measures 40 degrees. Give possible angle measures for B and C.

Mathematics
1 answer:
Umnica [9.8K]3 years ago
7 0

Answer:

B = C = 70°

Step-by-step explanation:

In Triangle ABC, angle A measures 40 degrees.

We need to find the possible angle measures for B and C if ABC is in isosceles triangle.

For an isosceles triangle, two sides of a triangle are equal. We know that if two sides are equal, the corresponding angles are equal. Let equal angles are x. The sum of an isosceles triangle is equal to 180 degrees. So,

40 + x +x = 180

40 + 2 x = 180

2x = 140

x = 70 degrees

So, the possible angle measures for B and C is equal to 70°.

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If b(x) = -2(x​​-50), what is the value of b(20)?
Alex777 [14]

Answer:

60

Step-by-step explanation:

-2(20​​-50)

-40 + 100 = 60

8 0
3 years ago
Events A and B have probabilities such that P(A) = 0.3, P(B) = 0.25, P(M ∪ N) = 0.425, and P(M ∩ N) = 0.075. Are events A and ev
nekit [7.7K]

Answer:

(C)Yes, because P(M) ∙ P(N) = P(M ∩ N)

Step-by-step explanation:

Two events A and B are independent if P(A)P(B)=P(A ∩ B)

Given events A and B such that:

P(A) = 0.3, P(B) = 0.25, P(A ∪ B) = 0.425, and P(A ∩ B) = 0.075

  • P(A)P(B)=0.3 X 0.25 =0.075
  • P(A ∩ B) = 0.075

Since the two expression above gives the same answer, they are independent.

<u>The correct option is C.</u>

7 0
4 years ago
What is the value of the function when x = 4?<br><br> y = 3x + 7
adelina 88 [10]

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-7x........ = 28
x = -4
substitute -4 instead of x in either of the ORIGINAL equations

2x - 3y = 7
2(-4) - 3y = 7
-8 -3y = 7..........add 8 to both sides
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8 0
4 years ago
Read 2 more answers
What is the next number in the sequence? 7, 16, 8, 27, 9,
katrin2010 [14]
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3 0
3 years ago
A cat chases a mouse. The cat is originally 4 feet behind the mouse, which is running in the same direction along the same route
Darya [45]

The cat will take 0.8 seconds  to catch up with the mouse

Step-by-step explanation:

Given:

The  distance between the cat and the mouse =  4 feet

cat's speed  = 17 feet per second.

mouse's speed =  12 feet per second

To Find:

how long will it take the cat to catch up with the mouse = ?

Solution:

We know that

distance  = speed x  time

Rewriting the equation for time we get

time  =\frac{distance }{speed}

now we know that distance is  4 feet

and the speed is 17 -12 = 5 feet per second

Thus the time is

= \frac{4}{5}

= 0.8 seconds

4 0
3 years ago
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