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jasenka [17]
3 years ago
7

If arc AB = 130°, calculate the m angle ABC circle O with chord AB and tangent BC; the measure of angle ABC is x

Mathematics
1 answer:
suter [353]3 years ago
4 0
The measure of angle ABC would be 66 degrees
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AURORKA [14]
The prime factors are: 2 x 2 x 3 x 3 
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Find the measure of angle <br> Angle 1 is congruent to Angle 2
Mrrafil [7]

Answer:

angle 1 = angle 2 = 17 degrees

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3 years ago
Find the product of all real values of r for which 1/2x=r-x/7
Dahasolnce [82]

Answer:

r = \±\sqrt{14

Product = -14

Step-by-step explanation:

Given

\frac{1}{2x} = \frac{r - x}{7}

Required

Find all product of real values that satisfy the equation

\frac{1}{2x} = \frac{r - x}{7}

Cross multiply:

2x(r - x) = 7 * 1

2xr - 2x^2 = 7

Subtract 7 from both sides

2xr - 2x^2 -7= 7 -7

2xr - 2x^2 -7= 0

Reorder

- 2x^2+ 2xr  -7= 0

Multiply through by -1

2x^2 - 2xr +7= 0

The above represents a quadratic equation and as such could take either of the following conditions.

(1) No real roots:

This possibility does not apply in this case as such, would not be considered.

(2) One real root

This is true if

b^2 - 4ac = 0

For a quadratic equation

ax^2 + bx + c = 0

By comparison with 2x^2 - 2xr +7= 0

a = 2

b = -2r

c =7

Substitute these values in b^2 - 4ac = 0

(-2r)^2 - 4 * 2 * 7 = 0

4r^2 - 56 = 0

Add 56 to both sides

4r^2 - 56 + 56= 0 + 56

4r^2 = 56

Divide through by 4

r^2 = 14

Take square roots

\sqrt{r^2} = \±\sqrt{14

r = \±\sqrt{14

Hence, the possible values of r are:

\sqrt{14 or -\sqrt{14

and the product is:

Product = \sqrt{14} * -\sqrt{14}

Product = -14

8 0
3 years ago
A+b+c=31 2a+3b+4c=105 who's a,b,c
Alik [6]

Answer:

begin{aligned}

   & x = \frac{D_x}{D} = \frac{-616}{-154} =  4 \\

   & y = \frac{D_y}{D} = \frac{ 616}{-154} = -4 \\

   & z = \frac{D_z}{D} = \frac{-770}{-154} =  5

         \end{aligned}begin{aligned}    & x = \frac{D_x}{D} = \frac{-616}{-154} =  4 \\    & y = \frac{D_y}{D} = \frac{ 616}{-154} = -4 \\    & z = \frac{D_z}{D} = \frac{-770}{-154} =  5          \end{aligned}

Step-by-step explanation:

4 0
3 years ago
Which of these is a proportional relationship?
Agata [3.3K]

(C) jasmyne is the one with the proportinal relationship

6 0
2 years ago
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