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.
do 19 please
![### Problem Statement
**19) Given:** Kite ABCD with \( BD = 10 \); \( m \angle BAC = 45^\circ \); \( m \angle BCA = 30^\circ \)
**Find:** Area of the kite ABCD
#### Diagram Description:
The diagram depicts a kite ABCD where point B is directly above point D, and points A and C form the two other vertices, resulting in a symmetrical quadrilateral.
**Diagram Details:**
- The kite is centered with point B at the top and point D at the bottom, with a vertical line segment connecting B to D.
- Points A and C lie horizontally opposite each other, forming another line segment that intersects BD at its midpoint.
### Solution Steps:
1. Identify the given information:
- Length of diagonal BD = 10 units
- Measure of angle ∠BAC = 45°
- Measure of angle ∠BCA = 30°
2. Determine the lengths of other diagonals and sides by using geometry principles pertaining to kites and specialized triangles (45-45-90 and 30-60-90 triangles).
3. Calculate the area of kite ABCD using the kite area formula:
\[ \text{Area} = \frac{1}{2} \times d_1 \times d_2 \]
where \( d_1 \) and \( d_2 \) are the lengths of the diagonals BD and AC, respectively.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5bbe15d5-05c4-4aea-a090-ae763138d27c%2F978b267f-f416-41f5-90be-7066ff99457c%2Frwmm4p.png&w=3840&q=75)
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