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Nesterboy [21]
4 years ago
15

In circle O, chords AC and BD intersect at E. If MCD= 120 and MAB=100, what is BEC?

Mathematics
1 answer:
Hatshy [7]4 years ago
8 0

Answer:

  • D. 70°

Step-by-step explanation:

∠BEC is supplementary with ∠BEA

<u>Find the measure of ∠BEA</u>

  • m∠BEA = 1/2(mCD + mAB)
  • m∠BEA = 1/2(120° + 100°) = 110°

<u>Supplementary angles sum to 180°</u>

  • m∠BEC + m∠BEA = 180°
  • m∠BEC = 180° - 110° = 70°

Correct choice is D

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levacccp [35]

To solve this problem, we have to use the definition of segment addition.

LA=PL+PA

Then, we replace the given expressions

30x-18=6x+24+12x-6

Now, we solve for <em>x</em>.

\begin{gathered} 30x-6x-12x=24-6+18 \\ 12x=36 \\ x=\frac{36}{12} \\ x=3 \end{gathered}<h2>Hence, x = 3.</h2>

Let's find LA:

30x-18=30\cdot3-18=90-18=72<h2>Hence, LA measures 72 units.</h2>
7 0
1 year ago
Formula in the form y=mx+b models the value, y, of a new car x years after the initial purchase in 2010. Would you expect b to b
Tom [10]

Answer:

positive

Step-by-step explanation:

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4 0
3 years ago
Truck brakes can fail if they get too hot. In some mountainous areas, ramps of loose gravel are constructed to stop runaway truc
pickupchik [31]

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Combine:

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Solve for d:

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7 0
4 years ago
What are the coordinates of the terminal point for 8 = 4pie/3?
astra-53 [7]

9514 1404 393

Answer:

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Step-by-step explanation:

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7 0
3 years ago
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Answer:

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