Answer:
A
Step-by-step explanation:
The dilation with the center of dilation at the origin and scale factor of 4 has the rule
(x,y)→(4x,4y).
Thus,
- A(-1,3)→A'(-4,12)
- B(2,1)→B'(8,4)
- C(-2,-1)→C'(-8,-4)
A'(-4,12) - option B
B'(8,4) - option C
C'(-8,-4) - option D
Answer:
Future Value, using...
Simple Interest: $
14,418.13
Annually Compounded Interest: $
14,692.25
Step-by-step explanation:
Answer:
a) corresponding angles of similar polygons are congruent
b) corresponding sides of similar polygons are proportional
c) a triangle is a polygon
Step-by-step explanation:
By <em>definition</em>, similar polygons have congruent corresponding angles and proportional corresponding sides.
A triangle is a polygon, so two triangles will be similar if they have congruent corresponding angles and proportional corresponding sides.
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For an n-sided polygon, one only needs to show the conditions are met for n-1 angles and sides. Those will determine the measures of the final angle/side.
5 less than 162=162-5
=157
Product=18x157
=2826
Answer:
x = 1/3, x = -1.
Step-by-step explanation:
2x(x + 2) + (x - 1)² = 2
Distribute the 2x into x + 2.
2x² + 4x + (x - 1)² = 2
Square (x - 1).
2x² + 4x + x² - x - x + 1 = 2
Combine terms.
2x² + x² + 4x - 2x + 1 = 2
Combine terms again.
3x² + 2x + 1 = 2
Subtract 2 from both sides.
3x² + 2x - 1 = 0
Factor.
(3x - 1)(x + 1) = 0.
Finding the x-values here is the same thing as finding the 0s, so set both of the expressions to 0.
3x - 1 = 0
Add 1 to both sides.
3x = 1
Divide by 3.
x = 1/3.
x + 1 = 0
Subtract 1 from both sides.
x = -1.
