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shepuryov [24]
3 years ago
8

What is the value of x?

Mathematics
1 answer:
lesya692 [45]3 years ago
4 0
When two secant lines intersect each other outside a circle, the products of their segments are equal.

(x+4)(x+4+1) = (x+1)(x+1+11)
(x+4)(x+5) = (x+1)(x+12)
x² + 5x + 4x + 20 = x² + 12x + x + 12
9x - 13x = 12 - 20
-4x = -8
4x = 8
x = 2

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What is the measure of angle A?
antoniya [11.8K]

Answer:

A = 19.47

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hypotenuse

sin A = 2/6

Take the inverse sin of each side

sin ^-1 ( sin A) = sin ^-1 (2/6)

A =19.47122063

To the nearest hundredth

A = 19.47

3 0
4 years ago
If the area of the Arctic Ocean is 16% of the area of the Atlantic ocean what is the area of the Arctic Ocean
Art [367]
Idk how big is 16% is 16% like 20

3 0
3 years ago
Read 2 more answers
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

#SPJ1

3 0
2 years ago
You are standing in one big palace where a king and his 5 queens stay. Each queen has 5 rooms. In each room there are 5 big cats
Paladinen [302]
(5+1+1)*2 + 5*5*5*(1+5)*4 = 3014
Rooms = 5*5 = 25
Cats per room = 5 + 5*5 = 30
All cats legs = 25*30*4 = 3000
All humans = 1+1+5 = 7
All humans legs = 7*2 = 14
All legs = 3000 + 14 = 3014


7 0
3 years ago
What is the equation of the circle with center (4, 4) that passes through the point (10, 14)? HELP MEEEEE PLEASE
Gemiola [76]

Answer:

The equation of the circle can be written as:

  • \left(x-4\right)^2+\left(y-4\right)^2=136

Step-by-step explanation:

The general equation of a circle with center (h,k) and radius r is:

\left(x-h\right)^2+\left(y-k\right)^2=r^2

In our example, we know \left(h,k\right)=\left(4,4\right), as we just have to make sure we need determine \:r^2.

\left(x-4\right)^2+\left(y-4\right)^2=r^2\:\:

As the circle passes through (10, 14), that pair of values for x and y must satisfy the equation. So we have:

\left(10-4\right)^2+\left(14-4\right)^2=r^2

\mathrm{Switch\:sides}

r^2=\left(10-4\right)^2+\left(14-4\right)^2

r^2=6^2+10^2

r^2=36+100

r^2=136

Thus the equation of the circle can be written as:

\left(x-4\right)^2+\left(y-4\right)^2=136

5 0
3 years ago
Read 2 more answers
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