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bulgar [2K]
3 years ago
8

Find the value of x.

Mathematics
1 answer:
Crank3 years ago
5 0

Answer: x=76\°

Step-by-step explanation:

By definition the angle formed by the intersection of two chords inside a circle is:

Angle\ formed\ by\ two\ Chords=\frac{sum\ of\ intercepted\ Arcs}{2}

You can observe in the figure that  the angle formed by the intersection of the two chords measures 94°, and the intercepteed arcs are: x° and 112°.

Therefore, you need to substitute these values into the formula and solve for "x to find its value. Then:

94\°=\frac{x+112\°}{2}\\\\(94\°)(2)=x+112\°\\\\188\°-112\°=x\\\\x=76\°

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A bathtub is draining at a constant rate. After 2 minutes, it holds 35 gallons of water. Four minutes later, it holds 15 gallons
OLga [1]

Answer:

Step-by-step explanation:

The slope-intercept formula is:

y = m x + b,

or: y = b - m x, since the rate is negative.

For the 1st formula we have: y = 30 and x = 2

For the 2nd formula: y = 12 and x = 5 ( because: 5 = 2 + 3, or : 3 minutes later, which can be confusing  )

30 = b - 2 m

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b = 30 + 2 m

12 = 30 + 2 m - 5 m

3 m = 18

m = 18 : 3 = 6

b = 30 + 2 * 6 = 30 + 12 = 42

Answer:

y = 42 - 6 x

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<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20-22x%3D10%5C%5C" id="TexFormula1" title="x^{2} -22x=10\\" alt="x^{2} -22x=10\\"
Ronch [10]

Answer:

Step-by-step explanation:

x^2 - 22x = 10

Next step is to complete the square on the left hand side of the equation and it would be balanced by adding the same number to the right side of the equation. It becomes

x^2 - 22x + (22/2)^2 = 10 + (22/2)^2

x^2 - 22x + (11)^2 = 10 + (11)^2

x^2 - 22x + (11)^2 = 10 + 121

x^2 - 22x + (11)^2 = 131

x^2 - 22x + 121^2 = 131

(x - 11)^2 = 131

Taking square root of both the left hand side and the right hand side of the equation, it becomes

x - 11 = ±√131

x - 11 = ±11.45

Adding 11 to the left hand side and the right hand side of the equation, it becomes

x - 11 + 11 = ±11.45 + 11

x = 11.45 + 11 or x = -11.45 + 11

x = 22.45 or x = - 0.45

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4 years ago
Given right triangle JKM, which correctly describes the locations of the sides in relation to ∠J?
Leto [7]

Answer:

a is the hypotenuse, b is adjacent, c is opposite

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