I need help with question 2

C

Step-by-step explanation:

Angle CAD and angle BAD are congruent.

10x - 7 = 3x+ 7

10x - 3x = 7 + 7

7x = 14

(7x)/7 = 14/7

x = 2

Plug in x as 2.

10(2) - 7

20 - 7

= 13

C

Step-by-step explanation:

Since BD and DC are congruent, we know that DA bisects <BAC.

This means that <BAD and <CAD are congruent.

We can set up an equation for that.

3x+7=10x-7

Subtract 3x from both sides.

3x-3x+7=10x-3x-7

7=7x-7

Add 7 to both sides.

7+7=7x-7+7

14=7x

Divide both sides by 7.

x=2

Plug that back into expression for m<CAD.

10x-7

10(2)-7

20-7

13 degrees.

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: