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xeze [42]
3 years ago
5

Find the measure of ∠COB in the figure. answers: A) 24° B) 48° C) 72° D) 132°

Mathematics
1 answer:
jasenka [17]3 years ago
7 0

Answer: 48

Step-by-step explanation: COB and DOA are vertical angles. This means the two of them have the same measure. Because we know the measuremen of DOA, we can easily find the measuremen for COB since these angles are the same, so COB is 48 degrees.

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The sum of the squares of three consecutive integers is 509. Determine the integers.
GalinKa [24]

Answer:

12, 13, 14

Step-by-step explanation:

Denote the integers as:

x

x+1

x+2

The sum of their squares, so that would be;

(x^(2)) + (( x + 1 )^(2)) + (( x + 2 )^(2)) = 509

write out the squares

x^2 + x^2 + 2x + 1 + x^2 + 4x + 4 = 509

combine like terms

3x^2 + 6x + 5 = 509

inverse operations

3x^2 + 6x + 5 = 509

                -5     -5

3x^2 + 6x = 504

factor

3x^2 + 6x = 504

3 ( x^2 + 2x ) =504

Inverse operations

3 ( x^2 + 2x ) = 504

/3                       /3

x^2 + 2x = 168

Factor again

x ( x + 2 ) = 168

At this point, it should be obvious that x is 12 (because 12 * 14 = 168)

So now substitute back into the consecutive numbers

x = 12

x + 1 = 13

x + 2 = 14

6 0
3 years ago
The product of two 2-digit factors whose product is greater than 200 but less than 600
IRINA_888 [86]
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6 0
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Write the sum of the numbers as the product of their gcf and another sum Problem: 30+54
omeli [17]
The correct answer here is that the sum has to be 84. This is due to the fact that 30 + 54 is 84, and the greatest common factor is 6 because the factors of 30 are 1, 2, 3, 5, 6 , 10, 15, and 54's Factors: 1, 2, 3, 6, 9, 18, 27, and 54, so from this we can see that 6 is the great common factor.
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4 years ago
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