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11Alexandr11 [23.1K]
3 years ago
7

Is there a method that could prove that these two triangles are similar?

Mathematics
1 answer:
dalvyx [7]3 years ago
4 0

Answer:

  A  Yes, a sequence of dilations and rigid motions carries one triangle onto the other

Step-by-step explanation:

Since two angles are marked with the same measures in each triangle, the triangles are similar by the AA postulate with no further action.

By some accounts it seems to be necessary to lay one figure on top of the other to demonstrate similarity. In order to do that, the smaller triangle would need to be dilated and translated (a rigid motion) to make it occupy the same space as the larger triangle.

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An artist created the sculpture shown with concrete. The radius of the bottom hemisphere is double that of the top hemisphere. F
klemol [59]

<u>Answer:</u>

Vt = 4071.5 ft^3

<u>Step-by-step explanation:</u>

Givens:

  • R = 12
  • R = 2r => r = 6

Equations

  1. V = (4/3)(pi)r^3

Find: Vt (Total Volume)

Vt = (1/2)V1 + (1/2)(V2)

Vt = (1/2)(V1 + V2)                 <em>[Factor out (4/3) and (pi) from volumes]</em>

Vt = (1/2)(4/3)(pi)(R^3 + r^3)  <em>[Sub in Values]</em>

Vt = 4071.5 ft^3

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3 years ago
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The average temperature increased from day 5 through day 7.

answer choice b is the correct answer.

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VLD [36.1K]

Answer:

not -7 just 7

Step-by-step explanation:

3 0
3 years ago
GOF
Daniel [21]

Answer:

(x-10)(x+10)

Step-by-step explanation:

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Someone please help me make a proof for the bottom question
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Answer:

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Step-by-step explanation:

Statement 1.

∠D = ∠C, M is the midpoint of DC and ∠1 = ∠2

Reason 1.  

Given

Statement 2.

Between Δ DBM and Δ CAM,  

(i) DM = CM,

(ii) ∠D = ∠C  and  

(iii) ∠DMB = ∠CMA

Reason 2.

(i) given  

(ii) given and  

(iii) ∠ DMB = ∠1 + ∠AMB and  ∠CMA = ∠2 + ∠AMB

Since ∠1 = ∠2, so, ∠DMB = ∠CMA.

Statement 3.

Δ DBM ≅ Δ CAM

Reason 3.

By angle-side-angle rule.

Statement 4.

DB = CA

Reason 4.

Corresponding sides of two congruent triangles. (Answer)

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