Question

select the correct texts in the passage. which mathematical statements are true? if 3 is an odd number, then 3 times 3 is an even number. if 6 is less than 7, then 4 is greater than 7. six is divisible by 3, and 10 is a multiple of 2. the average of the data is less than the largest value in the data, or its equal to the largest value in the data. the slope of a linear graph is its rate of change, and the graphs y - intercept is the initial value. if an equilateral triangle has equal angles, then all its angles will measure 45°.

Explanation:

Step1: Analyze first statement

An odd number times an odd number is odd. Since 3 is odd, $3\times3 = 9$ is odd. So "If 3 is an odd number, then 3 times 3 is an even number" is false.

Step2: Analyze second statement

6 < 7, but 4 < 7, not 4 > 7. So "If 6 is less than 7, then 4 is greater than 7" is false.

Step3: Analyze third statement

$6\div3=2$ and $10\div2 = 5$, so 6 is divisible by 3 and 10 is a multiple of 2. This statement is true.

Step4: Analyze fourth statement

The average of data can be equal to the largest value (e.g., when all data - points are the same). So "The average of the data is less than the largest value in the data, or it's equal to the largest value in the data" is true.

Step5: Analyze fifth statement

For a linear graph $y=mx + b$, $m$ is the rate of change (slope) and $b$ is the y - intercept (initial value). This statement is true.

Step6: Analyze sixth statement

In an equilateral triangle, each angle measures $60^{\circ}$, not $45^{\circ}$. So "If an equilateral triangle has equal angles, then all its angles will measure $45^{\circ}$" is false.

Answer:

"Six is divisible by 3, and 10 is a multiple of 2", "The average of the data is less than the largest value in the data, or it's equal to the largest value in the data", "The slope of a linear graph is its rate of change, and the graph's y - intercept is the initial value"