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labwork [276]
3 years ago
14

If m angle ABD=79 degrees , what are m angle ABC and m angle DBC​

Mathematics
1 answer:
gulaghasi [49]3 years ago
5 0

Answer:

m<ABC = 45

m<DBC = 34°

Step-by-step explanation:

Given:

m<ABD = 79°

m<ABC = (8x - 3)°

m<DBC = (5x + 4)°

Step 1: Generate an equation to find the value of x

m<ABC + m<DBC = m<ABD (angle addition postulate)

(8x - 3) + (5x + 4) = 79

Solve for x

8x - 3 + 5x + 4 = 79

13x + 1 = 79

Subtract 1 from both sides

13x + 1 - 1 = 79 - 1

13x = 78

Divide both sides by 13

x = 6

Step 2: find m<ABC and m<DBC by plugging the value of x into the expression of each angle

m<ABC = (8x - 3)°

m<ABC = 8(6) - 3 = 48 - 3 = 45°

m<DBC = (5x + 4)°

m<DBC = 5(6) + 4 = 30 + 4 = 34°

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12?

Step-by-step explanation:

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Answer:

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Which of the following points is in the solution set of y &gt; -x2 + 5? (0, 5) (1, 3) (2, 4)
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(2, 4)

Step-by-step explanation:

The only point that satisfies the inequality is (2, 4).

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(2, 4) : -2^2 +5 = 1 . . . . . . 4 is greater than 1, so this point is in the solution set.

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A jar contains 10 marbles marked with the numbers 1 through 10. You pick a marble at random. What is the probability of not pick
mr_godi [17]

Answer:

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Answer:

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Step-by-step explanation:

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