PICTURE ONE IS FOR THESE BELOW What is the value of ∠DOB in the following figure?
The measure of an angle is 89°. Find the measure of its supplement.
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Determine if triangles can be formed with the following side lengths:

1.) 4 cm, 7 cm, 10 cm

2.) 24 mm, 20 mm, 30 mm

1: n=17

2: x=24 w=37

Step-by-step explanation:

1st picture: 180-108=72/2=34/2=17=n

2nd Picture: 90+19= 109

109+x+w=180

138+90=228

270-228=52

138+52+90+19=299

360-299=61

x=24 w= 37

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:

ratio is 2 : 9

the answer is three

13.5 : 3