BO is double that of DO. In other words, BO is two times longer than DO. The answer is choice B
For example, if DO were 3 units long, then BO would be 6 units long (2*3 = 6). This works because the triangles DCO and BAO are similar triangles. The corresponding sides are in the same ratio or proportion to one another. The larger triangle (BAO) has sides that are twice as long as the smaller triangle's (DCO) corresponding sides.
Side note: we can prove the triangles to be similar using the AA (angle angle) similarity theorem. The first pair of angles are the vertical angles DOC and BOA which are congruent to each other.The second pair is CDB and ABD which are congruent by the alternate interior angle theorem. Check out the attached image for a visual.
The answers should be: (-2,5), (-2,-2), (-6,-1), (2,1)
Hope this helped :)
Answer:
d/4 + d/6=45/60 hours=3/4 hoursStep-by-step explanation:
3d+2d=12 x 3/4=9
5d=9
d=9/5 km ……………….
Answer:the number of kids that used the public pool that day is 122
the number of adults that used the public pool that day is 92
Step-by-step explanation:
Let x represent the number of kids that used the public pool that day.
Let y represent the number of adults that used the public pool that day.
214 people used a public swimming pool. This means that
x + y = 214
1.50 for kids and $2.25 for adults. The receipt totaled to $390. This means that
1.5x + 2.25y = 390 - - - - - - - - - -1
Substituting x = 214 - y into equation 1, it becomes
1.5x
1.5(214 - y) + 2.25y = 390
321 - 1.5y + 2.25y = 390
- 1.5y + 2.25y = 390 - 321
0.75y = 69
y = 69/0.75 = 92
Substituting y = 92 into x = 214 - y, it becomes
x = 214 - 92 = 122
Answer:
FV= $160.68
Step-by-step explanation:
Giving the following information:
Initial investment= $150
Interest rate= 3.5% compounded annually
Number of periods= 2
T<u>o calculate the future value, we need to use the following formula:</u>
FV= PV*(1+i)^n
PV= present value
i= interest rate
n= number of periods
FV= 150*(1.035^2)
FV= $160.68
