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VladimirAG [237]
3 years ago
7

Find the mesure of angle b

Mathematics
2 answers:
Fantom [35]3 years ago
5 0

Answer:

It's C

Step-by-step explanation:

because there is a 90 degrees sigh behind it and those two angles need to add up to 90

Basile [38]3 years ago
5 0

Answer:

31

Step-by-step explanation:

b+59=90

b=90-59

b=31

hope it helps

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To drive safely along a road, drivers need to maintain a speed of at least 50 miles per hour and at most 60 miles per hour. Writ
elixir [45]

Answer:

50 -60= and that is it

Step-by-step explanation:

3 0
3 years ago
15 POINTS: A motorboat traveling downstream covers the distance between port M and port N in 6 hours. Once, the motorboat stoppe
pav-90 [236]

Answer: S=18

Step-by-step explanation:

D = distance between M and N  

S = speed of the boat  

S + 2 = speed down streem  

S - 2 = speed upstream  

T = time on the downstream leg until the boat made its turn  

9-T= time on the upstream leg  

6(S + 2) = D  

T (S + 2) = D - 40  

(9-T)(S-2) = D - 40  

now we have 3 equations and 3 uknowns  

lets multply everything out  

6S + 12 = D  

ST + 2T = D - 40  

9S - 18 - ST + 2T = D - 40  

add the second 2 together to get rid of the ST term  

9S - 18 + 4T = 2D - 80  

and lest subtract them from one annother  

2ST - 9S + 18 = 0  

if we can find T in terms of S we will have a quadratic equation, and will be able to use the quadratic formula / factor

9S - 18 + 4T = 2(6S + 12) - 80  

9S - 18 + 4T = 12 S + 24 - 80  

4T = 3S - 38  

T = 0.75 S - 9.5  

2S(0.75 S - 9.5) - 9S + 18 = 0  

1.5 S^2 - 28 S + 18 = 0  

S = 18, 2/3  

now it doesn't make sense for S to equal -2/3 as it suggests the boat moves backward when it is going up stream. (and that it travels downstream for negative time)  

S = 18

8 0
3 years ago
If g(x) = 2(x − 4), find the value of x if g(x) = 20. 32 12
nlexa [21]

Answer:

The value of x is 14

Step-by-step explanation:

we have

g(x)=2(x-4) ------> equation A

In this problem we have

g(x)=20

Substitute the value of g(x) in the equation A and solve for x

20=2(x-4)

Divide by 2 both sides

20/2=2(x-4)/2

10=(x-4)

Adds 4 both sides

10+4=(x-4)+4

x=14

6 0
4 years ago
Read 2 more answers
Write the following equation. The sum of four times a number, and 3, is equal to three times the number.
svetlana [45]

Answer: 4x+3=3x

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Suppose you would like to save P9000 invested at 8% compounded quarterly for 5 years and 6 months. (Note: Round off your answer
Sever21 [200]

Answer:

a) 13913

b) 4913.82

Step-by-step explanation:

The compound interest formula is given by:

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

Where 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 and t is the time in years for which the money is invested or borrowed.

In this question:

Investment of 9000, so P = 9000

Interest rate of 8%, so r = 0.08

Compounded quarterly, so n = 4

5 years and 6 months, that is, 5 years and half, so t = 5.5

(a) How much would the value of her savings at the end of the term?

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

A(5.5) = 9000(1 + \frac{0.08}{4})^{4*5.5} = 13913.82

(b) How much is the interest earned by your savings?

The amount subtracted by the principal. So

13913.82 - 9000 = 4913.82

5 0
3 years ago
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