What’s the correct answer for this?
1 answer:
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Answer:....
Step-by-step explanation:
first we need to find the base of the triangle, so the total is 20, they also give us 12, so we subtract 20-12=8 now divide. 8/2=4. Now we use the 4 and the 60. We use SOH-CAH-TOA, they give us the base now we need to find AB which is the hypotenuse. So we take out the TOA, and the 4 is the adjacent so we take out the SOH, we have CAH now, so we use cos. Now equation time....
since x is the bottom we switch
, which equals 8. AB=8.
Now to find the perimeter. We still use the 4 to find the hypotenuse so we can find the outside side. For this one they tell us to use 45, so now lets see what method we use. SOH-CAH-TOA. We need the hypotenuse and they give us the adjacent, so we use cos again. Now setting up the equation...
x is at the bottom again to we switch.
which equals to 5.657 or you can round it. Now we add everything.
20+12+5.657+5.657= 45.314 or you can round it to 45.
Question 1:
The line segment with measure of 14 units is tangent to the circle, meaning that it is perpendicular to the radius.
Thus, we have a right triangle with legs of 14 and x and a hypotenuse of x+10.
Use the Pythagorean theorem to solve for x.
Subtract both sides by x^2
Subtract both sides by 100
Divide both sides by 20
The third choice is your answer.
Question 2:
This question actually has 3 answers.
The answers to this question are the first, second, and fourth choice.
The first choice is correct because this is a property of a tangent line.
The second choice is also correct because this is also a property of the tangent line.
The third choice is incorrect because the tangent line only intersects the radius at the end of the radius.
The fourth choice is correct because that's what a tangent is.
The fifth choice is incorrect because that's actually a property of a secant, not a tangent.
The last choice is incorrect because there are infinitely many lines tangent to a single circle.
The line segment with measure of 14 units is tangent to the circle, meaning that it is perpendicular to the radius.
Thus, we have a right triangle with legs of 14 and x and a hypotenuse of x+10.
Use the Pythagorean theorem to solve for x.
Subtract both sides by x^2
Subtract both sides by 100
Divide both sides by 20
The third choice is your answer.
Question 2:
This question actually has 3 answers.
The answers to this question are the first, second, and fourth choice.
The first choice is correct because this is a property of a tangent line.
The second choice is also correct because this is also a property of the tangent line.
The third choice is incorrect because the tangent line only intersects the radius at the end of the radius.
The fourth choice is correct because that's what a tangent is.
The fifth choice is incorrect because that's actually a property of a secant, not a tangent.
The last choice is incorrect because there are infinitely many lines tangent to a single circle.