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Yuliya22 [10]
3 years ago
10

What is the value of x?2367​

Mathematics
1 answer:
Alex777 [14]3 years ago
4 0

Answer:

x = 2

Step-by-step explanation:

Using the property of two secants segments to a circle, we have that:

EB * EA = EC * ED

(x + 1)(x + 1 + 11) = (x + 4)(x + 4 + 1)

(x + 1)(x + 12) = (x + 4)(x + 5)

x^2 + 13x + 12 = x^2 + 9x + 20

13x + 12 =9x + 20

13x - 9x = 20 - 12

4x  = 8

x = 2

So the value of x is 2

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4 years ago
Monica’s school band held a car wash to raise money for a trip to a parade in New York City. After washing 125 cars, they made $
nikklg [1K]

The system of linear equations represents the situation is;

x + y = 125

x + y = 1255x + 8y = 775

<h3>Simultaneous equation</h3>

Simultaneous equation is an equation in two unknown values are being solved for at the same time.

let

  • number of quick washes = x
  • number of premium washes = y

x + y = 125

5x + 8y = 775

From equation (1)

x = 125 - y

5x + 8y = 775

5(125 - y) + 8y = 775

625 - 5y + 8y = 775

- 5y + 8y = 775 - 625

3y = 150

y = 150/3

y = 50

  • Substitute y = 50 into

x + y = 125

x + 50 = 125

x = 125 - 50

x = 75

Therefore, the number of quick washes and premium washes Monica’s school band had is 75 and 50 respectively.

Learn more about simultaneous equation:

brainly.com/question/16863577

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3 0
2 years ago
A new bank customer with 3,000 wants to open a money market account the bank is offering a simple interest rate of 1.8% how much
Tcecarenko [31]

Answer:

$3540

Step-by-step explanation:

See explanation

Step-by-step explanation:

The Simple Interest will be calculated as:

= P × R × T

= $3000 × 1.8% × 10.

= $3000 × 0.018 × 10

= $540

The interest that the customer earn in 10 years is $540.

Then, the account balance after 10 years will be:

= Principal + Interest

= $3000 + $540

= $3540

Therefore, the account balance will be $3540

5 0
3 years ago
The height of a cone is two times its base diameter. What is the volume of the cone in terms of its base radius r? V = r2 V = r3
Gnom [1K]
So hmm check the picture below

the radius "r" is half the diameter, meaning, the diameter is 2r long
now, if the height "h" is twice "d" or 2d, then that means h = 2(2r)

thus    \bf \textit{volume of a cone}\\\\&#10;V=\cfrac{\pi r^2 h}{3}\qquad &#10;\begin{cases}&#10;h=height\\&#10;r=radius\\&#10;------\\&#10;h=2(2r)&#10;\end{cases}\implies V=\cfrac{\pi r^2[2(2r)]}{3}&#10;\\\\\\&#10;V=\cfrac{4\pi r^3}{3}

8 0
3 years ago
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