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kirill [66]
3 years ago
10

Math help 20 points

Mathematics
1 answer:
kherson [118]3 years ago
3 0

4)\\\\LM=KN\\\\\text{Therefore we have the equation}\\\\2x-6=x+3\qquad\text{add 6 to both sides}\\\\2x=x+9\qquad\text{subtract x from both sides}\\\\\boxed{x=9}\\\\LM=2x-6\Rightarrow LM=2(9)-6=18-6=12\\\\Answer:\ \boxed{LM=12}

5)\\\\m\angle F+m\angle U=180^o\\\\\text{Therefore we have the equation:}\\\\12x-6+11x+2=180\\\\23x-4=180\qquad\text{add 4 to both sides}\\\\23x=184\qquad\text{divide both sides by 23}\\\\\boxed{x=8}\\\\\angle V\cong\angle F\Rightarrow m\angle V=m\angle F\\\\m\angle V=12x-6\Rightarrow m\angle V=12(8)-6=96-6=90\\\\Answer:\ \boxed{m\angle V=90^o}

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Anthony has to practice his guitar for 1.75 hours each morning and 2.5 hours each evening for the first 4 days this week. How ma
weqwewe [10]

Answer:

17 hours

Step-by-step explanation:

From the above question,

Anthony is practicing 4 days in a week

Hence

The number of hours he practices in the morning for 4 days =

1.75 hours × 4

= 7 hours

The number of hours he practices in the evening for 4 days =

2.5 hours × 4

= 10 hours

Therefore, the total number of hours he practices this week

= 7 hours + 10 hours

= 17 hours

5 0
3 years ago
Brainest for best answer only 5 mins left show your work
Kamila [148]

Answer:

Step-by-step explanation:

Problem One

Perimeter is in meters not square meters. The equation is

2*(6.8+x) + 2*12.5= 47                Remove the brackets. Combine like terms  

13.6 + 2x + 25 = 47

38.6 + 2x = 47                            Subtract 38.5 from both sides

2x = 47 - 38.6  

2x = 8.4                                      Divide by 2

x = 4.2

Answer D

Problem 2

This problem is asking that you calculate the perimeter of a swimming pool.

The two semicircles on the ends make a whole circle.

The diameter of the semicircles is obtained from the difference of the two given lengths.

The rectangle has a length of 12. The length of the rectangle and the 2 semicircles is 16. The difference is 4. You could divide this by 2 to get the radius. I would just leave it as the diameter.

So the perimeter is pi*d + 2 * 12 [there are 2 lengths]

Perimeter = 4*pi + 24

Perimeter = 12.56 + 24

Perimeter = 36.56

Answer A

Problem 3

This is the circle inside the square.

The radius of the circle = 9

The diameter of the circle and the length of square's side = 2*9 = 18

The area of the square = s^2  where s = 18

The area of the square = 18^2 = 324

The area of the circle = pi * 9^2 = 3.24 * 81 = 251.34

The area of the Shaded area = 324 - 251.34 = 69.66

Answer C

Problem 4

b1 = 5

b2 = 11.5

h = 4.5

Formula

Area = (b1 + b2 ) * 4.5/2

Area =  (5 + 11.5) * 4.5 /2

Area = 16.5 * 4.5 / 2

Area = 74.25/2

Area = 37.125

Answer D

5 0
3 years ago
Write an equation for this word<br> sentence: one fifth of a number<br> equals 16.
horsena [70]

Answer: x / 5 = 16

x = 80

8 0
2 years ago
Read 2 more answers
Venus Waldo reviewed her account statement and wanted to verify that the interest amount was correct. Her new balance was $12,09
user100 [1]

Answer:

The interest on the savings account is $46.47

Step-by-step explanation:

Here, we want to know the interest earned on the savings account.

The difference between the new and previous balance will be; 12,098.12 - 9,053.20 = $3,044.92

The difference between amount deposited and amount withdrawn is 3,298.45 - 300 = 2,998.45

This is the amount that is supposed to be on the account without interest

So the interest earned would be; 3044.92 - 2,998.45 = $46.47

3 0
3 years ago
Circle O, with center (x, y) passes through the points A(0, 0), B(-3, 0), and C(1, 2). Find the coordinates of the center of the
KonstantinChe [14]

Answer:

The center of the circle is

(-\frac{3}{2},2)

Step-by-step explanation:

Let the equation of the circle be

x^2+y^2+2ax+2by+c=0, where (-a,-b) is the center of this circle.

The points lying the circle must satisfy the equation of this circle.

A(0,0)

We substitute this point to get;

0^2+0^2+2a(0)+2b(0)+c=0

\implies c=0

B(-3,0)

(-3)^2+0^2+2a(-3)+2b(0)+c=0

\implies 9+0-6a+0+c=0

\implies -6a+c=-9

But c=0

\implies -6a=-9

\implies a=\frac{3}{2}

C(1,2)

1^2+2^2+2a(1)+2b(2)+c=0

1+4+2a+4b+c=0

2a+4b+c=-5

Put the value of 'a' and 'c' to find 'b'

2(\frac{3}{2})+4b+0=-5

3+4b+0=-5

4b=-5-3

4b=-8

b=-2

Hence the center of the circle is

(-\frac{3}{2},2)

8 0
3 years ago
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