We can bring the ratios to a similar form, because 2:5 is the same as 4:10 (we can mupltiply rations by the same number)
so one ratio is 4:10 and the other is 4:15 and the difference is is 75 beads
in this ratio, we can see each number corresponding to a "unit" of beads: that means that what changed is that Patricia now has 5 more such groups (15-10=5), and since she has 75 beads more each unit must be 75/5=15.
so afterwards (and before) Karen had 4 such units, that is 60, and Patricia before had 10 such units, that is 150.
9514 1404 393
Answer:
- Angle 1 = 139°
- Angle 2 = 41°
- x = 29; exterior angle = 131°
Step-by-step explanation:
These problems let you make use of the fact that the sum of the remote interior angles is equal to the exterior angle.
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1. 53° +86° = ∠1
139° = ∠1
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2. ∠2 +92° = 133°
∠2 = 133° -92°
∠2 = 41°
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3. (x +9)° +93° = (4x+15)°
87 = 3x . . . . . . . . . . . . . . . . subtract x+15°
29 = x . . . . . . . divide by 3
The exterior angle is ...
(4x +15)° = (4·29 +15)° = 131° . . . exterior angle
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It's 78π inches so probably d.
Answer:
The estimated expense would be about $1000.00 in which taxzation and inflation is unaccounted for.
Step-by-step explanation: