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rewona [7]
3 years ago
14

Find the values of angles in x,y,z

Mathematics
1 answer:
Roman55 [17]3 years ago
7 0

Answer:

x=91, y=91, z=39

Step-by-step explanation:

the angles add up to 180 so find the difference ex. 51+38=89, 180-89=91 so x is 91

You might be interested in
What is the value of x2 + 3.4y when x = 4 and y = 2?
photoshop1234 [79]

Answer:

14.8

Step-by-step explanation:

4(2)+3.4(2)

8+6.8

14.8

6 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
2 years ago
What is the intersection of the given lines? CD←→ and MD←→− point D point M point C DM←→−
Anastaziya [24]

Answer:

ne dediğini anlamadım ki

Step-by-step explanation:

??????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????

5 0
3 years ago
Read 2 more answers
I have no idea where to start
Sliva [168]

Let me know if you want the answer, but what you need to do first is get the opposite angles.

They're on straight lines, so 180 minus that angle would equal the angle inside the triangle.

Then all inner angles if a triangle add up to 180° so 180 minus the two other angle would give you the final missing angle.

Do the straight line thing again and subtract 156 from it.

6 0
4 years ago
Suppose you write a sum of numbers as a product of their GCF and another sum. What is the GCF of the number in the other sum? Ex
Fantom [35]
Example :
20 + 30.....GCF = 10

10(2 + 3)

The GCF of the number now is 1....because u have basically already factored the GCF out.....leaving only 1 as a factor now

here's another one...
3 + 9...GCF = 3
3(1 + 3)
so the GCF now is 1
8 0
3 years ago
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