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ycow [4]
3 years ago
6

Given the following diagram, find the missing measures.​

Mathematics
2 answers:
Nostrana [21]3 years ago
8 0

Answer:

∠ O = 72°

Step-by-step explanation:

Since ∠ O = ∠ P and ∠ I = 36°

The sum of the 3 angles in a triangle = 180°, thus

∠ O = \frac{180-36}{2} = \frac{144}{2} = 72°

Deffense [45]3 years ago
3 0

Angle O and P are the same.

Subtract angle 1 from 180 and divide by 2:

Angle O = 180-36 /2

Angle O = 144 /2

Angle O = 72

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sesenic [268]

Answers:

  1. C) x = plus/minus 11
  2. B) No real solutions
  3. C) Two solutions
  4. A) One solution
  5. The value <u>  18  </u> goes in the first blank. The value <u>  17  </u> goes in the second blank.

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Explanations:

  1. Note how (11)^2 = (11)*(11) = 121 and also (-11)^2 = (-11)*(-11) = 121. The two negatives multiply to a positive. So that's why the solution is x = plus/minus 11. The plus minus breaks down into the two equations x = 11 or x = -11.
  2. There are no real solutions here because the left hand side can never be negative, no matter what real number you pick for x. As mentioned in problem 1, squaring -11 leads to a positive number 121. The same idea applies here as well.
  3. The two solutions are x = 0 and x = -2. We set each factor equal to zero through the zero product property. Then we solve each equation for x. The x+2 = 0 leads to x = -2.
  4. We use the zero product property here as well. We have a repeated factor, so we're only solving one equation and that is x-3 = 0 which leads to x = 3. The only root is x = 3.
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