To be similar ratios of the corresponding sides should be constant.
|UV|/|EO| = 8/4=2/1
|VL|/|OG| = 4/2=2/1
|LU|/|GE| = 6/3 = 2/1
So,all three corresponding pair of these triangles UVL and EOG are in proportion, so ΔUVL and ΔEOG are similar.
Because ΔUVL and ΔEOG are similar, their corresponding angles are congruent.
m∠U=m∠E
m∠V=m∠O
m∠L=m∠G.
Answer:
1890, total cost of lights per week
Step-by-step explanation:
The lights cost 45 dollars per bulb and 6 go out per day, 45×6=270
270 is the cost to replace the bulbs of one day.
270×7=1890. 1890 is the cost for a whole weeks worth of replacing these bulbs.
Answer:
X=14
Step-by-step explanation:
17^2+b^2=19^2
289+b^2=361
361-289=72
The square root pf 72 is ~8.5
subtract 17 from 31 (to get rid of the triangle bases on the bottom).
31-17=14
X=14
Answer:
Q matches to a and P matches to b
Step-by-step explanation:
This is a volume question so we can use the volume of a cylinder to see which one corresponds to what. Volume of a cylinder is 
h. We know that the heights of the cylinders are the same since the diagram says so. We also know pi is the same since thats a constant. The only thing thats different is the radius (as you can see radius of P is bigger than Q). If the radius of P is bigger than Q and all the other things are the same (height is the same and pi is the same), then that automatically means that P has more volume than Q. More volume means more time to fill up. Since Q has less volume, it will take less time to fill up. So now we look at the graph. A shows that the height of water increases at a faster rate than that of B. This is because there is less volume in that container (less volume=less time to fill up). Therefore a matches to Q and therefore b matches to P
20 dimes; 0 quarters= $2.00; 20 dimes; 1 quarter= $2.25 and so on
