KL is 7.
Since LMN~XYZ, that means m∠N = m∠Z.
Since the angles are the same, we also know that
sin N = sin Z
Sine is the ratio of the opposite side to the hypotenuse of a right triangle. The sine of N would be the ratio of sides LK to LN, and the sine of Z would be the ratio of sides XW to XZ. That gives us:
x/28 = 3/12
Cross multiply the proportion:
12*x = 28*3
12x = 84
Divide both sides by 12:
12x/12 = 84/12
x = 7
Answer:
The solution is k > 3.
Step-by-step explanation:
Not all math problems have only one solution. Some math problems have multiple solutions such as set or group of solutions. These problems are called inequalities. Inequalities have solutions within a range using symbols such as >, <, ≤, and ≥. These are known as greater than, less than, less than or equal and greater than or equal. You can write any inequality expression from words into symbols using these signs.
The expression "the product of k/3 times 12 be greater than 12" is translated into
k/3 * 12 > 12
since product is multiplication.
It can be solved by simplifying the left side by doing the product. Then dividing both sided by 4 to isolate k.
12k/3 > 12
4k > 12
The solution is k > 3.
Answer:
yep
Step-by-step explanation:
Polynomials are algebraic expressions that are created by combining numbers and variables using arithmetic operations such as addition, subtraction, multiplication, division, and exponentiation. You can create a polynomial by adding or subtracting terms.
Answer:
Olga will use 133.33 ounces of floor.
Step-by-step explanation:
To solve this question we will apply the unitary method to calculate the amount of flour to make 300 muffins.
∵ To make 225 muffins Olga uses flour = 100 ounce
∴ To make 1 muffin Olga will use flour = 
∴ For 300 muffins Olga will use flour = 
= 133.33
Olga will use 133.33 ounces of flour.
