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pishuonlain [190]
3 years ago
9

To prove that DEF congruent DGF by SAS,what additional information is needed

Mathematics
2 answers:
lisabon 2012 [21]3 years ago
8 0

Answer:

∠DFE ≅ ∠DFG

Step-by-step explanation:

we know that

Triangles are congruent by SAS, if any pair of corresponding sides and their included angles are equal in both triangles

In this problem we have that

The pair of corresponding sides that are equal are

EF=GF  and DF (is the same side for both triangles)

The included angle are ∠DFE and ∠DFG

therefore

The additional information needed to prove that triangles DEF and DGF are congruent by SAS is that angles ∠DFE and ∠DFG are equal

so

∠DFE ≅ ∠DFG

kompoz [17]3 years ago
7 0

Answer:de=dg

Step-by-step explanation:

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1/80 of the agency's employees have PhDs.

Step-by-step explanation:

Given that:

Total number of employees = 4000

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5 0
2 years ago
If sine theta equals three over four, what are the values of cos θ and tan θ?
ratelena [41]

Answer:

In words, Cosine theta equals plus or minus square root of seven over 4,tangent theta equals plus or minus  three over root seven

Step-by-step explanation:

Given that sin ∅ =3/4 It means the ratio of the opposite side to the hypotenuse side is 3:4.

Using the Pythagoras theorem we can calculate the hypotenuse adjacent as follows.

a²+b²=c²

a²=c²-b²

a²=4²-3²

a²=16-9

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Then Cos ∅= opposite/ adjacent

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Then Tan ∅ = opposite/adjacent

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7 0
3 years ago
Can someone help me with this?​
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Answer:

Let 'a' be the first term, 'r' be the common ratio and 'n' be the number of terms

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Sum =  \frac{a( {r}^{n} - 1) }{(r - 1)}   \\

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\frac{a( {r}^{n} - 1)}{(r - 1)}  = 728 \\  \frac{2( {3}^{n} - 1) }{(3 - 1)}  = 728 \\  \frac{2( {3}^{n} - 1) }{2}  = 728 \\  {3}^{n}  - 1 = 728 \\ {3}^{n}=728+1\\ {3}^{n}  = 729 \\  {3}^{n}  =  {3}^{6}  \\ \boxed{ n = 6}

Therefore, number of terms is 6

  • 6 is the right answer.
3 0
3 years ago
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