Answer:
Charles's reasoning is wrong.
Step-by-step explanation:
Lupita has 7 pounds for 16.8 and Charles has 5 pounds for 16.8.
Let's set up ratios.
So Lupita got the best deal, not Charles. Poor him.
Answer:
- b
- f
- e
- c
- h
- d
- g
- a
Step-by-step explanation:
< or > will give you an open dot which means it is not filled in.
≤ or ≥ will give you a closed dot which means it is filled in.
So for example number one:
x > 0 translated is x is greater than zero.
So look on the number line for an open dot on zero going toward the left (the side where the numbers get smaller). The rest are self explanatory.
Answer:
$460.
Step-by-step explanation:
![Percentage\ change = (\frac{Original\ Price\ - Discounted\ Price}{Original\ Price})100\\\\15=(\frac{x-391}{x})100\\\\15x=(x-391)100 \\\\15x/100=x-391\\0.15x=x-391\\391=x-0.15x\\391=0.85x\\391/0.85=x\\460=x\\](https://tex.z-dn.net/?f=Percentage%5C%20change%20%3D%20%28%5Cfrac%7BOriginal%5C%20Price%5C%20-%20Discounted%5C%20Price%7D%7BOriginal%5C%20Price%7D%29100%5C%5C%5C%5C15%3D%28%5Cfrac%7Bx-391%7D%7Bx%7D%29100%5C%5C%5C%5C15x%3D%28x-391%29100%20%5C%5C%5C%5C15x%2F100%3Dx-391%5C%5C0.15x%3Dx-391%5C%5C391%3Dx-0.15x%5C%5C391%3D0.85x%5C%5C391%2F0.85%3Dx%5C%5C460%3Dx%5C%5C)
So the price yesterday was $460
Answer:
-1
Step-by-step explanation:
∠CEB and ∠AED are vertical angles, which means they must be equal to each other. Make them = x in an equation. The angles form a quadrilateral, so the sum of the interior angles must equal 360°.
77 + 77 + x + x = 360
Combine like terms.
154 + 2x = 360
Subtract 154 from both sides.
2x = 206
Divide both sides by 2.
x = 103
∠CEB is greater than 90°, so it must be an obtuse angle.