5x + 2(3x + 1) < 3 Distribute 2 into (3x + 1)
5x + (2)3x + (2)1 < 3
5x + 6x + 2 < 3 Combine like terms(terms that have the same variable and power/exponent)
11x + 2 < 3 Your answer is B
Its the third one..........
Triangle ABC was reflected along the y =x line and the translated 6 units up to form triangle A'B'C'.
<h3>Transformation</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformation are<em> rotation, reflection, translation and dilation.</em>
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Given that ABC has vertices at A(-1, 1), B(-3, 5) and C(-6, 5). If it is reflected along the y = x line, the new point is A*(1, -1), B*(5, -3) and C*(5, -6). If it is then translated 6 units up, the new point is A'(1,5), B'(5, 3) and C'(5, 0).
Find out more on transformation at: brainly.com/question/1548871
Answer of question 6:
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We should know that the tangent lines to the circle from the same points are equal.
So, the length of each tangent line from A = 2
the length of each tangent line from B = 5
the length of each tangent line from C = 3
Δ ABC consisting of the tangent lines of the circle
The perimeter of Δ ABC = sum of all tangent lines = 2*2 + 2*5 + 2*3 = 20
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Answer of question 14:
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1. The measure of a° = 2 * an inscribed angle facing the arc a°
= 2 * 40° = 80
2. The angles 40° and b° are alternate angles because of the parallel lines and the transversal line
∴ b° = 40°
3. The inscribed angles which faces the same arc are equal
So, the angles 40° , c° faces the arc a°
∴ c° = 40°
4. ∵ The sum of all angles of the triangle = 180°∴ b° + c° + d° = 180
∴ d° = 180 - (b° + c°) = 180° - ( 40° + 40° ) = 180° - 80° = 100°
Conclusion of the answer:
1. a° = 80 , 2. b° = 40° , 3. c° = 40° , 4. d° = 100°
