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Masja [62]
3 years ago
15

Quadrilateral CDEF is a rhombus. What is DCG?

Mathematics
1 answer:
svlad2 [7]3 years ago
6 0

Answer:

  62°

Step-by-step explanation:

The diagonals of a rhombus are perpendicular bisectors of each other, and each bisects the angle at a vertex of the rhombus. So, ∠DCG is the complement of ∠CDG, which is congruent to ∠EDG. We believe the marking 28° is intended to apply to ∠EDG, which would mean that ...

  m∠DCG = 90° - 28°

  m∠DCG = 62°

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John and Annie have two distinguishable ponds. Initially, each of the ponds contains four ducks and five geese. John first picks
Sladkaya [172]

Answer: 4/9

Step-by-step explanation:

The probability that annie picks a duck Pt= the probability of picking a duck without accounting for the added one (Po)+ probability of picking the added bird and it's a duck(Pi)

Pt = Po+Pi

Since the total number of birds in the right pond is 10 after the addition of one by john

Po= 4/10

Pi= the of john adding a duck × the probability of annie picking the added bird

Pi= 4/9 × 1/10

Pi = 4/90

Pt= 4/10 + 4/90

Pt = (36+4)/90

Pt=40/90

Pt= 4/9

(This implies that the probability of picking a duck remain the same even after the addition of one bird from the left ponds because they both have equal proportions of duck and geese i.e the initial number of duck and geese in both right and left ponds are 4 and 5 respectively)

Thanks.

4 0
3 years ago
kelly plans to put her graduation money into an account and leave it there for 4 years while she goes to collge she recieves $75
DedPeter [7]

Answer:

FV=887.3967212 $

Step-by-step explanation:

Use the compound-interest formula:

FV=PV(1+\frac{r}{n}) ^{nt}

Where:

FV=Future value or the ending amount

PV=Present value or the initial amount=750

n=Number of compoundings in any one year=2

t=Total number of years=4

r=interest rate=0.0425

Now, replacing the data in the equation:

FV=750*(1+\frac{0.0425}{2}) ^{2*4} =887.3967212 $

4 0
3 years ago
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