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Colt1911 [192]
3 years ago
15

Find the value of x. 7, 8, and 9 please!

Mathematics
1 answer:
natima [27]3 years ago
6 0

Answer:

7) x= 5, 8) x= 6, 9) x= 7

Step-by-step explanation:

As per the secant theoram, if two secant intersect outside the circle then the product of the exterior secant and total length of each secant are equal.

7) ∴ (x+3)\times 3= (10+2)\times 2

opening parethesis and distributing 3 with x and 3.

⇒ 3x+9=24

subtracting 9 on both side.

⇒ 3x=15

cross multiplying

∴ x= 5.

8) (3+5)\times 5= (x+4)\times 4

Opening parethesis and distributing 4 with x and 4.

⇒ 8\times 5=4x+16

⇒ 40=4x+16

subtracting 16 on both side.

⇒ 24=4x

cross multiplying

∴ x= 6.

9) (x+5)\times 5= (6+4)\times 6

opening parethesis and distributing 5 with x and 5.

⇒ 5x+25=60

subtracting 25 on both side.

⇒ 3x=35

cross multiplying

∴ x= 7.

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What is the probability that it is not blue?
Alisiya [41]
1/3 chances the bubblegum is blue. To solve this problem you add all of the bubblegum together so 25+20+15 to get 60 then express it as a fraction to show only the blue pieces which would be 20/60 and you can simplify it to 1/3 or 33.33%
8 0
3 years ago
Talia uses 10 strawberries and 4 oranges to make 8 servings of fruit salad. How many strawberries for 12 servings?
gayaneshka [121]
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8 0
3 years ago
Solve the following system of equations for all three variables.
xz_007 [3.2K]

Answer:

Step-by-step explanation:

-2x + 3y – 4z = 8    ----------------(I)

5x – 3y + 5z = -8    -----------------(II)

7x – 3y + 3z = 8 ------------------(III)

Add equation (I) & (II) and thus y will be eliminated

(I)        -2x + 3y – 4z = 8

(II)        <u>5x – 3y + 5z = -8</u>    {Add}

           3x          + z  = 0   ------------------------(A)

Multiply equation (II) by (-1) and then add with equation (III). Thus y will be eliminated.

(II) * (-1)         -5x + 3y - 5z = +8

                     <u>7x – 3y + 3z = 8</u>   {Add}

                     2x         -2z   = 16   ---------------(B)

Multiply equation (A) by 2 and then add. Thus z will be eliminated and we will get the value of x

(A) * 2          6x + 2z = 0

(B)                 <u>2x - 2z  = 16</u>   {Add}

                     8x         = 16

Divide both sides by 8

                             x = 16/8

                          x = 2

Plugin x = 2 in equation (A)

3x + z = 0

3*2 + z = 0

 6 + z = 0

       z = -6

Plug in x = 2 and z  = - 6 in equation (I)

-2x +3y - 4z = 8

-2*2 + 3y - 4*(-6) = 8

-4 + 3y + 24 = 8

     3y   + 20 = 8

               3y = 8 - 20

               3y = -12

                 y = -12/3

y = -4

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7 0
3 years ago
Read 2 more answers
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