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Gennadij [26K]
3 years ago
5

In triangle EFG, m of E = 30 degrees, m of F = 60 degrees, and m of G = 90 degrees. Which of the following statements about tria

ngle EFG are true? Check all that apply.
A. EG = square root of 3 * FG

B. EG = 2 * FG

C. EF = square root of 3 * FG

D. EG = square root of 3 /2 * EF

E. EF = 2 * FG

F. FG = square root of 3 /2 * EF
Mathematics
2 answers:
Effectus [21]3 years ago
8 0

Answer:

A. EG = √3 × FG

D. EG = √3/2 × EF

E. EF = 2 × FG

Step-by-step explanation:

∵ tan 60 = √3

∵ tan60 = EG/GF

∴ EG/GF = √3

∴ EG = √3 × GF ⇒ A

∵ m∠F = 60°

∵ sin60 = √3/2

∵ sin 60 = EG/EF

∴ √3/2 = EG/EF

∴ EG = √3/2 × EF ⇒ D

∵ cos60 = 1/2

∵ cos60 = GF/EF

∴ GF/EF = 1/2

∴ EF = 2 × GF ⇒ E

BaLLatris [955]3 years ago
3 0

Answer:

A. EG = √3 × FG

D. EG = √3/2 × EF

E. EF = 2 × FG

Step-by-step explanation:

apex

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Amanda [17]

Answer:

Ground Morgans are 52% the price of Floating Jumps.

Step-by-step explanation:

A pair of Ground Morgans GM is 20% less expensive than a pair of Elite Butterflies EB, this means

GM= 0.8 EB <em>(GM is 80% the price of EB's)</em>

Elite Butterflies EB are 30% more expensive than Cloud Trainers CT's, this means

EB =1.3 CT <em>(EM's is 130% the price of CT's)</em>

Cloud Trainers CT are 50% less expensive than Floating Jumps FJ, this means

CT=0.5FJ <em>(CT is 50% the price of FJ)</em>

Now, if we want the price of Ground Morgans in terms of Floating Jumps, then, since EB = 1.3 CT,

GM=0.8 (1.3CT)

and since CT = 0.5F, we have

GM = 0.8(1.3(0.5FJ)).

Simplifying we get

\boxed{GM =0.52FJ}

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3 years ago
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Serhud [2]

Answer:

A

Step-by-step explanation:

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Answer:

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