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Tcecarenko [31]
3 years ago
13

When 47 is added to a number the result is 37 less than 7 times the number.

Mathematics
1 answer:
svetoff [14.1K]3 years ago
5 0
X - the number

x+47=7x-37 \\
x-7x=-37-47 \\
-6x=-84 \\
x=\frac{-84}{-6} \\
x=14

The number is 14.
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Find their lcm  which is 4m then multiply
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4) (Assume AR is tangent)<br>Given: AR 12<br>SR - 7.7<br>Find: cs (Round to nearest tenth.)​
andreev551 [17]

The length of CS is 11.0

Explanation:

Given that the length of the tangent AR is 12

The length of SR is 7.7

To find: The length of CS

The<u> tangent secant theorem</u> states that "if a tangent and a secant are drawn from an external point to a circle, then the square of the measure of the tangent is equal to the product of the measures of the secant’s external part and the entire secant."

Applying the tangent secant theorem, we have,

AR^2=SR\times RC

Rewriting the above equation, we get,

AR^2=SR(SR+SC)

Substituting the values, we get,

12^2=7.7(7.7+CS)

Simplifying, we have,

144=59.29+7.7CS

Subtracting both sides by 59.29, we get,

84.71=7.7CS

Dividing both sides by 7.7, we have,

11.0013=CS

Rounding off to the nearest tenth, we get,

11.0=CS

Thus, the length of CS is 11.0

6 0
3 years ago
Solve 7x - 2z = 4- xy for x.
ExtremeBDS [4]

Answer:

0

Step-by-step explanation:

7x + -2z = 4 + -1xy

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'xy' to each side of the equation.

7x + xy + -2z = 4 + -1xy + xy

Combine like terms: -1xy + xy = 0

7x + xy + -2z = 4 + 0

7x + xy + -2z = 4

Add '2z' to each side of the equation.

7x + xy + -2z + 2z = 4 + 2z

Combine like terms: -2z + 2z = 0

7x + xy + 0 = 4 + 2z

7x + xy = 4 + 2z

Reorder the terms:

-4 + 7x + xy + -2z = 4 + 2z + -4 + -2z

Reorder the terms:

-4 + 7x + xy + -2z = 4 + -4 + 2z + -2z

Combine like terms: 4 + -4 = 0

-4 + 7x + xy + -2z = 0 + 2z + -2z

-4 + 7x + xy + -2z = 2z + -2z

Combine like terms: 2z + -2z = 0

-4 + 7x + xy + -2z = 0

8 0
3 years ago
Only need help with #'s 10, 12, 14, 16
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Im just about to work one out for you and you just do the same on the rest






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