Answer:
a.
b.
Step-by-step explanation:
We are given that a line
a. We have to find the equation of resulting line when the given line is dilated by a factor of 2.
We know that when a line is dilated by a then equation of line is given by
We have a=2
Then, equation of line after dilation
b.We have to find the equation of line when resulting line is translated 3 units up
Transformation rule when the y shift 3 units upward is given by
When the line is translated 3 units up then the equation of line is given by
A=s^2
A=25^2
A= 625ft
The area is 625ft
Answer:
m∠a = 100°
m∠b = 105°
m∠c = 25°
Step-by-step explanation:
The line intersecting the triangle is parallel to the base of the triangle.
The intersecting line has created an additional smaller triangle (to the right of the diagram) which is similar to the larger triangle.
Therefore, the interior angles of the base of the smaller triangle are the same as the interior angles of the base of the original, larger triangle.
So the supplementary angle adjacent to ∠a will be 80°.
Similarly, the supplementary angle adjacent to ∠b will be 75°.
The sum of angles on a straight line is 180°
Therefore, m∠a = 180 - 80 = 100°
and, m∠b = 180 - 75 = 105°
The sum of interior angles of a triangle = 180°
Therefore, to determine m∠c, simply subtract 80° and 75° from 180°:
⇒ m∠c = 180 - 80 - 75 = 25°
3 1/2r=28
3.5r=28
cross of 3.5 and r remains
divide 28 and 3.5
and r=8
r=8
Answer:
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Step-by-step explanation:
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