9. need help with this question (inequalities )

Step-by-step explanation:

8x + 5 ≤ 3x - 10

5x ≤ -15

x ≤ -3

No. She is wrong. the arrow should be pointing towards the left (negative side)

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No, Martha's solution is not correct. If you solve the inequality, you find that x is less than or equal to -3. This would be shown as a closed circle above -3 and the arrow would point to the left to represent values less than -3, but on Martha's number line the arrow is pointing to the right, showing values greater than -3.

Step-by-step explanation:

To solve the inequality, you have to isolate the variable x:

8x + 5 3x - 10

Subtract 3x from both sides to put x on one side of the equation:

5x + 5 -10

Subtract 5 from both sides:

5x -15

Divide both sides by 5 to isolate the x:

x -3

Since x is less than -3, the arrow on the number line should point to the left, and since x can be equal to -3, there should be a closed circle above -3.

Hope this helps :)

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2