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o-na [289]
4 years ago
6

What is the value of x? Assume that the line is tangent to the circle.

Mathematics
2 answers:
Ganezh [65]4 years ago
5 0

The answer is 90 Degrees

..............................................

Rzqust [24]4 years ago
3 0
A line tangent to a circle is always perpendicular to the radius or the diameter to the circle. Since angle x has been formed by the intersection of the tangent line and the diameter of the circle the we can conclude that the the angle formed is:
x°=90°
Answer: A] 90°
You might be interested in
You play a game on your phone. For every correct move you make, you receive 50 points. For every second that it takes you to com
Vladimir79 [104]

Answer:

2005 points

Step-by-step explanation:

1. 35x50=750

2. 2 min. 45 sec.=(-165 sec.)

3. 500x5=2500

4. 2500-495=2005

Hope this helped!!:)

6 0
3 years ago
You purchase a sweater for $70 that was originally priced at $82 what percent was the sale
lisov135 [29]

Answer:

14.7%

Step-by-step explanation:

82/12 = 100/x

x= 14.7

3 0
3 years ago
An angle's supplement is nine times of its complementary angle. Find the measure of the angle, the complement of the angle,and t
Nezavi [6.7K]
S = 9C
first sentence written as an expression
Where S represents the angles supplement
and C represents the angles complement
A + S = 180
definition of supplementary allows me to make this statement Where A is the original angle
A + C = 90
definition of complimentary allows this statement
now add the prior 2 statements together
A + S + A + C = 180 + 90
now simplify
2A + S + C = 270
now replace S with 9C using first statement
2A + 9C + C = 270
now simplify
2A + 10C = 270
now divide both sides by 2
A + 5C = 135
now using the second statement isolate A by adding C to both sides
A = 90 - C
now combine the two prior statements
90 - C + 5C = 135
now simplify
90 + 4C = 135
now subtract 90 from both sides
4C = 45
now divide both sides by 4
C = 11.25
so the complimentary angle is 11.25
now take the third equation and substitute in C
A + 11.25 = 90
now subtract 11.25 from both sides
A = 78.75
so the original angle is 78.75
now use the second equation and substitute in A
78.75 + S = 180
now subtract 78.75 from both sides
S = 101.25
so the suplimentary angle is 101.25
7 0
4 years ago
The length of one of the sides of a square was increased by 4 dm, and the other one was decreased by 6 dm. As a result, a rectan
Inga [223]

Answer:

The answer to your question is 10 dm

Step-by-step explanation:

Data

length of a rectangle = x + 4

height of a rectangle = x - 6

Area of the rectangle = 56 dm²

length of the square = x

Process

1.- Find x with the information given for the rectangle

    Area = length x height

Substitution

    56 = (x + 4)(x - 6)

Expand

    56 = x² - 2x - 24

Equal to zero

            x² - 2x - 24 - 56 = 0

Simplify

             x² - 2x - 80 = 0

Factor

            (x - 10)(x + 8) = 0

Equal to zero

             x₁ -10 = 0          x₂ + 8 = 0

             x₁ = 10               x₂ = -8

2.- Conclusion

The length of the square is 10 dm because there are no negative lengths.                  

5 0
4 years ago
Read 2 more answers
Which statements are true for solving the equation 0.5 – |x – 12| = –0.25? Check all that apply.
Trava [24]

we have  

0.5-\left|x-12\right|=-0.25  

we know that        

The absolute value has two solutions

Subtract  0.5 both sides

-\left|x-12\right|=-0.25-0.5  

-\left|x-12\right|=-0.75  

Step 1

Find the first solution (Case positive)

-[+(x-12)]=-0.75

-x+12=-0.75

Subtract  12 both sides

-x+12-12=-0.75-12

-x=-12.75

Multiply by -1 both sides

x=12.75

Step 2

Find the second solution (Case negative)

-[-(x-12)]=-0.75

x-12=-0.75

Adds  12 both sides

x=-0.75+12

x=11.25

<u>Statements</u>

<u>case A)</u> The equation will have no solutions

The statement is False

Because the equation has two solutions------> See the procedure

<u>case B)</u> A good first step for solving the equation is to subtract 0.5 from both sides of the equation

The statement is True ----->  See the procedure

<u>case C)</u> A good first step for solving the equation is to split it into a positive case and a negative case

The statement is False ----->  See the procedure

case D) The positive case of this equation is 0.5 – |x – 12| = 0.25

The statement is False

Because the positive case is 0.5-(x-12)=-0.25 -----> see the procedure

case E) The negative case of this equation is x – 12 = –0.75

The statement is True -----> see the procedure

<u>case F)</u> The equation will have only 1 solution

The statement is False

Because The equation has two solutions------> See the procedure


4 0
3 years ago
Read 2 more answers
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