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algol13
2 years ago
6

Help SOS pretty please ​

Mathematics
1 answer:
Pepsi [2]2 years ago
6 0

Answer:

x = 12

Step-by-step explanation:

Recall: the secant-tangent rule states that when a secant and a tangent meet at an external point of a circle, the product of the secant and the external segment is equal to the square of the tangent segment

(x)(3) = 6² (secant-tangent rule)

3x = 36

Divide both sides by 3

3x/3 = 36/3

x = 12

You might be interested in
7 of 12
astra-53 [7]

Answer:

x = 10

Step-by-step explanation:

Since the parallelograms are similar then the ratios of corresponding sides are equal , that is

=  ( cross- multiply )

6x = 60 ( divide both sides by 6 )

x = 10

Step-by-step explanation:

7 0
2 years ago
A number, y, is equal to twice the sum of a smaller number and 3. The larger number is also equal to 5 more than 3 times the sma
Nata [24]

Answer:

The equations represent the situation is y=2x+6 and y=5+3x.

Step-by-step explanation:

Consider the provided information.

First convert the statement into mathematical representation.

Consider the smaller number is <em>x</em> and the larger number is <em>y</em>.

<em>y</em>, is equal to twice the sum of a smaller number and 3.    

This information can be written as: y=2(x+3)

Which can be further solve as:

y=2x+6

The larger number is also equal to 5 more than 3 times the smaller number.

This information can be written as: y=5+3x

Thus, the equations represent the situation is y=2x+6 and y=5+3x.

Which can be further solve as:

2x+6=5+3x

x=1

Now, substitute the value of <em>x</em> in y=5+3x.

y=5+3

y=8

3 0
3 years ago
Read 2 more answers
Find the angle measures. Justify your responses.
MatroZZZ [7]

Answer:

m∠3 = 2x - 10° and m∠6 = 3x + 20

m∠3 = 58°          ;    m ∠6 = 122°

Step-by-step explanation:

a ║ b

m∠2 = m∠6                     If ║ cut by a transversal, then corresponding angles

                                         are ≅ and =

m∠7 = m∠3                   If ║ cut by a transversal, then corresponding angles

                                       are ≅ and =

m∠2 = 3x + 20              Given

m∠7 = 2x - 10                 Given    

m∠6 + m∠3 = 180°         If ║ cut by a transversal, then each pair of same-side

                                       interior angles (also called consecutive interior angles

                                       are supplementary (sum = 180°) .    

3x + 20 + 2x - 10 = 180°

5x + 10 = 180°

5x = 170°

x = 34°

Answer:   m∠3 = 2x - 10° and m∠6 = 3x + 20

                m∠3 = 2(34) - 10  ;    m∠6 = 3(34) + 20

                 m∠3 = 58°          ;    m ∠6 = 122°

                                 

5 0
2 years ago
A biased dice was rolled and the scores recorded in the table below
dusya [7]

Given:

The table of score and frequency.

To find:

The probability that on the next roll the score will be 4.

Solution:

From the given table it is clear that the score 4 occurs 10 times.

Number of times the dice was rolled = 17 + 24 + 23 + 10 + 16 + 30

                                                             = 120

The probability that on the next roll the score will be 4 is

\text{Required probability}=\dfrac{\text{Number of times 4 occurs}}{\text{Number of times the dice was rolled}}

\text{Required probability}=\dfrac{10}{120}

\text{Required probability}=\dfrac{1}{12}

Therefore, the required probability is \dfrac{1}{12}.

8 0
3 years ago
Find the area of the shaded region
Mrac [35]

Answer:

40.5

Step-by-step explanation:

Area of square is 9x9=81.

Area of triangle is 1/2(9)(9)=40.5

81-40.5=40.5

40.5 is the area of the shaded region.

4 0
2 years ago
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