Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making
mistakes my homework is due today
1 answer:
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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.
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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>
Answer:
Step-by-step explanation:
Hello There!
Once again we are going to use trigonometry to solve for x
Here are the <u>Trigonometric Ratios</u>
sin = opposite divided by hypotenuse
cos = adjacent divided by hypotenuse
tan = opposite divided by adjacent
we need to find x and we are given its opposite side length (58) and the adjacent side length (19)
this corresponds with tangent so once again we will be using tangent to solve for x
Looking at tangent we see that its equal to opposite divided by adjacent so we create an equation
now we have
Once again we need to get rid of the tan
to do so we take the inverse of tan ( tan^-1) and apply it to each side
finally we round to the nearest tenth
we're left with x = 71.9