Alright, so what we can take as a given is that arcDE/2= ∠CDE=2x+20 since the arc corresponding to the angle is 2*the angle. To solve for arcDE, we multiply both sides by 2 to get 2(2x+20)=4x+40=arcDE. Since the arcs in a circle add up to 360 degrees and we only have -20+30x and arcDE, we have -20+40+4x+30x=360 using the associative property. Simplifying, we get 20+34x=340. Subtracting 20 from both sides, we get 340=34x. Next, we can divide both sides by 34 to get 10=x.
13. Supplementary angles are two angles that add up to 180 degrees.
3x + x = 180
Combine like terms:
4x = 180
4x divided by 4 = x
180 divided by 4 = 45
x = 45
Equation:
3(45) + 45 = 180
135 + 45 = 180 (TRUE STATEMENT)
Angle A = 135 degrees
Angle B = 45 degrees
This is correct as 135 + 45 adds up to 180 (making it a supplementary angle) AND 135 is 3 times bigger than 45 so it fits the answer’s standard.
Ima do number 14 in the comments as I don’t want to take too long to show number 13.
Answer:
Step-by-step explanation:
To find the unit price (price per ounce) for a problem where 8.2 ounces of something costs $1.12, you would divide the cost by the number of ounces. So, dividing $1.12 by 8.2 ounces, you would get a solution of $.136 per ounce. Most stores would round this up to $.14 per ounce.
