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horsena [70]
2 years ago
12

Assume that lines that appear to be tangent are tangent. O is the center of the circle. What is the value of x?

Mathematics
1 answer:
Mashcka [7]2 years ago
5 0

9514 1404 393

Answer:

  x = 20, or 125

Step-by-step explanation:

We cannot tell the angle x is intended to refer to. So, here are two answers. Choose the one you think applies.

__

The triangle that includes both marked angles is a right triangle. (The tangent meets the circle at right angles to the radius.) So, the angle x° at the external point is the complement of the marked central angle.

  x° = 90° -70°

  x = 20

__

If x° is referring to the exterior angle associated with the isosceles triangle within the circle, then its measure is the supplement of the interior base angle of that triangle. It is ...

  x° = 180° -(180° -70°)/2 = 90° +70°/2

  x = 125

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How many solutions can be found for the equation 4z 2(z − 4) = 3z 11? none one two infinitely many
Rus_ich [418]

There is only one solution for the equation 4z + 2(z -4) = 3z + 11 because the exponent for the power of z is 1.

<h3>What is an equation?</h3>

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

<h3>What is the Solution?</h3>

A solution is any value of a variable that makes the specified equation true.

According to the given information:

4z + 2(z-4)= 3z+11

Solve the equation,

4z+2z-8=3z+11

6z-3z=11+8

3z =19

z=

Hence,

Number of solution that can be found for the equation 4z + 2(z-4)= 3z+11 is option(2) one

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2 years ago
Guy is reading a science fiction book that is 558 pages long.If he reads 28 pages each day,how many days will it take him to rea
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Step-by-step explanation:

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Read 2 more answers
Two kilos of taronges and three kilos of mandarins cost 11.50 euros. Three kilos of taronges and two of mandarins cost 11 euros.
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Answer:

Hence the pricing for each product will be taronges with 2 euros and mandarins with 2.5 euros.

Step-by-step explanation:

Given:

2 kg of taronges and 3 kg mandarins cost 11.5 euros

3kg taronges and 2 kg mandarins cost 11 euros

To Find:

Price for each product

Solution:

<em>Consider </em>

<em>Taronges =x euros</em>

<em>Mandarins=y euros</em>

So by given condition,

2x+3y=11.5  ....................equation(1)

and 3x+2y=11 ..............equation (2)

So , using substitution method,

3x=11-2y

x=11-2y/3 .......equation (3)

Using above value in equation(1) we get ,

2(11-2y)/3+3y=11.5

y=(11.5*3-22)/5)

y=2.5 euros

Using above value in equation(3)  we get ,

x=(11-2y)/3

x=(11-2*2.5)/3

x=(11-5)/3

x=2 euros

5 0
3 years ago
The following sequence has first five terms as: -20, -17, -14, -11, -8, .......... Find an expression for the nth term of the se
Maslowich

Answer:

a(n) = -20 + 3(n - 1)

Step-by-step explanation:

a(n) = -20 + 3(n - 1)

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3 years ago
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