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notsponge [240]
2 years ago
14

Triangle A B C is reflected over side A C and then is dilated to form smaller triangle D E C. Angles B C A and D C E are right a

ngles. Right triangle ABC is reflected over AC, then dilated by a scale factor of Two-thirds to form triangle DEC. Which statements about the two triangles must be true? Select three options. △ABC ~ △DEC ∠B ≅ ∠E 3BC = 2EC 3DE = 2AB 3m∠A = 2m∠D 2m∠A = 3m∠D
Mathematics
1 answer:
andreyandreev [35.5K]2 years ago
4 0

Answer:

A. △ABC ~ △DEC

B. ∠B ≅ ∠E

D. 3DE = 2AB

Step-by-step explanation:

Transformation involves the reshaping or resizing of a given figure. The types are: reflection, dilation, rotation and translation.

In the given question, the two operations performed on triangle ABC are reflection and dilation to form triangle DEC. The length of each side of triangle DEC is two-third of that of ABC. Therefore, the correct statements about the two triangles are:

i. △ABC ~ △DEC

ii. ∠B ≅ ∠E

iii. 3DE = 2AB

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The vertices are 4 units to the left and right of the center.

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Step-by-step explanation:

The statements 2, 3 and 4 are correct. The ellipse graph shows that the foci are units to the left and vertices are 4 units to the left. The center os the ellipse is not at the origin (0,0) so the statement 1 is not correct. Ellipse is an oval shape with 2 other points known as foci. The foci of the ellipse are at left and right axis marked from the center.

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Two production lines produce the same parts per week of which 100 are defective. Line 2 produces 2,000 parts per week of which 1
Vikentia [17]

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(a) 0.0833 or 8.33%

(b) 0.40 or 40%

Step-by-step explanation:

Parts line one (n1) = 1,000 parts

Defects line one (d1) = 100 parts

Parts line two (n2) = 2,000 parts

Defects line two (d2) = 150 parts

Total number of parts (n) = 3,000 parts

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b. Probability of a part being produced by line one, given that it is defective:

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The probability is 0.40 or 40%.

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2 years ago
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