Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
![### Interaction of Chords
**Solve for x.**
The diagram provided is a circle with two intersecting chords. The intersection divides one of the chords into segments with lengths 4 and x, and the other chord into segments with lengths 5 and 7.
To solve for \( x \), we can use the intersecting chords theorem, which states that the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord. Mathematically, this can be expressed as:
\[ (part 1) \times (part 2) = (part 3) \times (part 4) \]
In the diagram:
- \( part 1 = 4 \)
- \( part 2 = x \)
- \( part 3 = 5 \)
- \( part 4 = 7 \)
Thus, the equation becomes:
\[ 4 \times x = 5 \times 7 \]
\[ 4x = 35 \]
\[ x = \frac{35}{4} \]
\[ x = 8.75 \]
Therefore, the value of \( x \) is 8.75.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff81a54cc-3474-4e4c-bb69-a8e403f2472e%2F5b3c14a6-b63e-4b59-b974-38044cb93fa0%2F1tl8g2o_processed.jpeg&w=3840&q=75)
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