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Otrada [13]
3 years ago
7

If line AD is a tangent to circle B at point C, and m∠ABC = 40º, what is the measure of ∠BAC? 90º  180º   50º   40º

Mathematics
2 answers:
sveticcg [70]3 years ago
5 0

Answer:

50

Step-by-step explanation:

zhenek [66]3 years ago
4 0
We have a line tangent to the circle with center B at point C. We know that the angle formed between the tangent line at the point of intersection to the line extended from that point to the center of the circle is equal to 90°. In the problem, the 90° is for ∠BCA. We also know that the summation of all angles in a triangle is 180°. We have the solution below for the ∠BAC
180°=∠BAC + ∠BCA + ∠ABC
180°=∠BAC + 90° + 40°
∠BAC =50°
The answer is 50°.
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A city's population is currently 100,000. If the population doubles every 80 years, what will the population be 160 years from n
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8 0
3 years ago
GUYS HELP PLSS, I SWTG
n200080 [17]

Step-by-step explanation:

#1 equals 1 1/4

The common denominator for 1/6, 2/3, and 5/12 would be 12. So I made the denominators 12 which means 1/6 would turn into 2/12, 2/3 turns into 8/12, and 5/12 stays the same. When I add them all up I get 15/12. I can turn that into a mixed number which would be 1 3/12. I can simplify that down to <em><u>1 1/4.</u></em>

#2 equals 3/4

The first thing you have to do is turn 2 2/3 and 1 3/4 into improper fractions. Which would turn 2 2/3 into 24/3 and 1 3/4 into 21/12. The next thing is you have to find a common denominator which would be 12. Next you have to turn the denominators into a 12 and change the numerator. Which makes the fractions: 24/12, 6/12, and 21/12. When you add 24/12 and 6/12 together you get 30/12 minus 21/12 you get 9/12. You can then simplify that to <em><u>3/4. </u></em>

#3 equals -1 17/36

The first thing you do is turn 3 5/18 into an improper fraction which would be 59/18. then you find a common denominator which would be 36 and make the denominators of those numbers into 36 which would be 11/36, 54/36, and 118/36. When you add up 11/36 and 54/36 you get 65. but when you - 65 by 118 you get -53 / 36. you can lend turn that into <u>-</u><em><u>1 17/36. </u></em>

I'm not sure about number 4 and I don't want to give you the wrong answer. Hopefully what I did show you helped!

4 0
2 years ago
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