B. angle 2 and angle 3 and congruent.
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The slope of the line is -23
<h3>How to determine the
slope of the
line?</h3>
The line’s equation is given in point-slope form:
y − 6 = (−23)(x + 6)
The line’s equation in point-slope is represented as:
y − y1 = m(x - x1)
Where
m represents the slope
By comparing y − y1 = m(x - x1) and y − 6 = (−23)(x + 6), we have
m = -23
Hence. the slope of the line is -23
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The graph in the bottom left is correct
Answer:
The correct answer is option A. Base = 11 cm and height = 13 cm
Step-by-step explanation:
It is given that, height of a triangle is 2 cm more than its base.Then height is increased by 2 cm.Then the area of triangle becomes 82.5 cm²
<u>To find the base an d height of original triangle</u>
Let x be the original base 'b' then the height h = x + 2
New height h = x + 2 + 2 = x + 4
Area = bh/2
82.5= (x(x + 4)/2
165 = x² + 4x
x + 4x - 165 = 0
Solving we get x = 11 and x = -15
Take positive value x = 11
Therefore base = 11 and height = x + 2 = 13 cm
The correct answer is option A. Base = 11 cm and height = 13 cm
