Da number is n
2n-(n/2)≥12
times both sides by 2
4n-n≥24
3n≥24
divide both sides by 3
n≥8
Isometry is defined as the <span> transformation that is invariant with respect to the distance
The statement that is true for isometry that is corrrect is
</span><span>The preimage and the image are congruent.
</span>so correct option is A as both the preimage and image are congruent
hope it helps<span />
Answer:
DE ≈ 14.91
Step-by-step explanation:
Make use of the relationships between sides and angles in a right triangle. These are summarized by the mnemonic SOH CAH TOA:
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
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The side DE is opposite the angle 19°, so the sine or tangent relation will be involved. The sine relation requires you know hypotenuse EF. The tangent relation requires you know adjacent side DF.
The only common side between triangles CDF and DEF is side DF. That side is opposite the given 61° angle. The given side length (CF = 24) is adjacent to the 61° angle.
This means you have enough information to use these relations:
tan(61°) = DF/CF = DF/24
DF = 24·tan(61°)
and
tan(19°) = DE/DF
DE = DF·tan(19°) = (24·tan(61°))·tan(19°) . . . . . use DF from above
DE ≈ 24(1.804048)(0.344328) ≈ 14.908
The length of DE is about 14.91.
Volume=length*width*height
V=2*2*2 or V+2^3
V=8
The volume of the display is 8 cubic feet
........Option C ) n × 2 = t
