2 years ago

3. Find the measure of the angle given.

Mathematics

1 answer:

yuradex [85]2 years ago

7 0

Answer:

Step-by-step explanation:

The sum of the opposite inscribed angles is 180

x+100 = 180

X = 80

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2. Quadrilateral ABCD was dilated with the origin as the center of dilation to create quadrilateral A'B'C'D. Which rule best rep

Virty [35]

Answer:

$(x,y) => (2.5x,2.5y)$

Step-by-step explanation:

Given

See attachment for ABCD and A'B'C'D'

Required

Determine the dilation rule

Using AB and A'B' as points of references;

$AB = (-1,2)\ to\ (2,1)$

$A'B' = (-2.5,5)\ to\ (5,2.5)$

The dilation factor (k) is calculated as:

$k = \frac{A'B'}{AB}$

This gives:

$k = \frac{(-2.5,5)}{(-1,2)} \ or\ k = \frac{(5,2.5)}{(2,1)}$

Factorize

$k = \frac{2.5*(-1,2)}{(-1,2)} \ or\ k = \frac{2.5*(2,1)}{(2,1)}$

$k = 2.5 \ or\ k = 2.5$

Hence, the scale factor is 2.5

The dilation rule is:

$(x,y) => k(x,y)$

$(x,y) => 2.5(x,y)$

$(x,y) => (2.5x,2.5y)$

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Which of these terms is unlike the others? 4b, b, 4, 7b A. 4b B. b C. 4 D. 7b

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