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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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Find the equation of a line parallel to the given line in passing through the given point
svetoff [14.1K]

Answer:

Step-by-step explanation:

y = mx + b

The line y = 3 is a horizontal line with slope zero

y = 0x + 3

All parallel lines will also have a slope zero

a parallel line passing through (-2, 7) will have the equation

y = 0x + 7

y = 7

7 0
3 years ago
Ms. Whodunit needs $15 000 to go on her dream vacation in four years. How much
lisov135 [29]

For each situation, we have that:

11) Using compound interest, it is found that she needs to invest $9,781.11 now.

12) Using the future value formula, it is found that you will have $728,753 after 48 years.

<h3>What is compound interest?</h3>

The amount of money earned, in compound interest, after t years, is given by:

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

In which:

  • A(t) is the amount of money after t years.
  • P is the principal(the initial sum of money).
  • r is the interest rate(as a decimal value).
  • n is the number of times that interest is compounded per year.

For this problem, the parameters are given as follows:

A(t) = 15000, t = 4, r = 0.055, n = 2.

Hence we solve for P to find the amount that needs to be invested.

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

15000 = P\left(1 + \frac{0.055}{2}\right)^{2 \times 8}

(1.0275)^{16}P = 15000

P = \frac{15000}{(1.0275)^{16}}

P = $9,718.11.

She needs to invest $9,781.11 now.

<h3>What is the future value formula?</h3>

It is given by:

V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right]

In which:

  • P is the payment.
  • n is the number of payments.
  • r is the interest rate.

For item 12, the parameters are given as follows:

P = 150, r = 0.07/12 = 0.005833, n = 48 x 12 = 576.

Hence the amount will be given by:

V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right]

V(n) = 150\left[\frac{(1.005833)^{575}}{0.005833}\right]

V(n) = $728,753.

You will have $728,753 after 48 years.

More can be learned about compound interest at brainly.com/question/25781328

#SPJ1

6 0
1 year ago
What dose e stand for when 1.89 times 10 to the 12 power
tangare [24]
1.89 * 10^12
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3 years ago
Can I pls have help w/ this? How many 1/8 pound servings of walnuts, s , are in 3/4 pound of walnuts? ____ servings.
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Answer:

Okay the answer is 6/8

Step-by-step explanation:

1/4 is equal to 2/8 so take 3/4 and simplify to 8s which is 6/8.

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Answer:

Triangle

Step-by-step explanation:

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Read 2 more answers
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