Find the GCF of both numerator and denominator and then divide both the denominator and numerator by that and you will get the simplified fraction.
Answer:
The system of inequalities that represents this situation will be:


Step-by-step explanation:
- Let 'f' represent the first number
- Let 's' represent the second number.
Given that the sum of the two numbers is less than 10. As 'less than' can be represented by '<'.
- so the inequality would be: f + s < 10
Given that If we subtract the second number from the first, the difference is greater than 3. As 'greater than' can be represented by '>'.
- so the inequality would be: f-s > 3
Thus, the system of inequalities that represents this situation will be:


Given:


To find:
The value of x and measure of ∠A.
Solution:
Let C be angle the vertically opposite to ∠A.
The reference image for answer is attached below.
By vertical angle theorem:
m∠A = m∠C
m∠C = 10x + 24°
By the corresponding angle theorem:
m∠C = m∠B

Subtract 24° on both sides.

Subtract 6x from both sides.

Divide by 4 on both sides.

The value of x is 12°.



The measure of ∠A is 144°.
Answer: The first card is a diamond and the second card is a heart. Both cards are hearts. Let H denote the event that a heart is drawn; let D denote the event that a diamond is drawn. The first card is a diamond and the second card is a heart: The probability of drawing a diamond on the first draw
Step-by-step explanation: