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RUDIKE [14]
2 years ago
14

Which answer choice shows a solution set in which all values, when input for x, will be true?

Mathematics
1 answer:
Likurg_2 [28]2 years ago
3 0
Dhsfmarkssgkafnafbwfjwtj
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can someone explain the proses of solving this? I don't need the answer but a step-by-step explanation would be super helpful!
Klio2033 [76]

Part 1

Focus on triangle ABC.

Since AB is a diameter of the circle, this means angle ACB is 90 degrees. Refer to Thale's Theorem. Or you could use the inscribed angle theorem. Thale's theorem is a special case of the inscribed angle theorem.

Minor arc CB is 48 degrees. Use the inscribed angle theorem to see that angle CAB is 48/2 = 24 degrees.

Therefore, angle CBA = 90 - (angle CAB) = 90 - 24 = 66 degrees

<h3>Answer: 66</h3>

========================================================

Part 2

Inscribed angle CBA was found to be 66 degrees back in part 1.

This doubles to 132 degrees to represent minor arc AC.

Or you could note that:

minor arc AC = 180 - (minor arc CB) = 180 - 48 = 132

Inscribed angle BCD is 48 degrees. This doubles to 96 degrees when using the inscribed angle theorem, and this is the measure of minor arc CBD.

-----------

Here's what we know about the arc measures of the circle

  • minor arc AC = 132 degrees
  • minor arc CB = 48 degrees
  • minor arc BD = 96 degrees

These three arcs, along with minor arc AD, will add up to get a full 360 degree circle. Check out the diagram below.

Adding those 3 pieces gets us 132+48+96 = 276

This means minor arc AD has to be 360 - 276 = 84 degrees

Then use the inscribed angle theorem one more time to divide the minor arc AD in half to get the inscribed angle ACD

84/2 = 42

<h3>Answer:  42</h3>

6 0
1 year ago
Y=x²-4x+6<br> y=x+2<br><br><br> Please help
Ira Lisetskai [31]

Answer:

(1, 3), (2, 4).

Step-by-step explanation:

y= x² - 4x + 6

y = x + 2

Substitute for y in the first equation:

x + 2 = x²- 4x + 6

x^2 - 5x + 4 = 0

(x - 1)(x - 4) = 0

x = 1, 4

When x = 1 , y = 1 + 2 = 3.

When x = 4, y = 4 + 2 = 6.

7 0
2 years ago
Two integers, n and p, have a product of -24. what is the largest possible sum of n and p
galben [10]

if n is -6 and p is 4 then the largest possible sum is -2

8 0
3 years ago
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Nemo rents 5 movies per month when the price is $3.00 per rental and 7 movies per month when the price is $2.50 per rental. nemo
yuradex [85]
The law of supply<span> states that the quantity of a good </span>supplied<span> (i.e., the amount owners or producers offer for sale) rises as the market price rises, and falls as the price falls. Conversely, the </span>law<span> of </span>demand<span> (see </span>demand<span>) says that the quantity of a good demanded falls as the price rises, and vice versa.</span>
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3 years ago
I don’t understand how to find x
Yanka [14]
C, bc you add up all x’s, which give you 4x. Then you add 0.5,1,1.5 together, which is 3.
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