Answer:
No, the area of the dilated triangle will increase by a factor of 9
Step-by-step explanation:
When the scale factor by which the dimensions is dilated = 3, we have;
The original length of base = b
The base length of the dilated triangle = 3×b
The original height of the the triangle = h
The height of the dilated triangle = 3×h
The original area of the triangle = 1/2 × base × height = 1/2×b×h
The area of the dilated triangle = 1/2 × base of dilated triangle × height of dilated triangle
∴ The area of the dilated triangle = 1/2× 3 × b × 3× h = 9×1/2× b×h
Which gives;
The area of the dilated triangle = 3²×1/2× b×h= (Scale factor)²× The original area of the triangle.
From 3² = 9, we have;
The area of the dilated triangle = 9 × The original area of the triangle.
Therefore;
The area of the dilated triangle will increase by a factor of 9.
Answer:
44 degrees
Step-by-step explanation:
The angles x + 2 and x are complementary; they sum up to 90 degrees.
Thus, x + 2 + x = 90 degrees, or:
2x = 88, or
x = 44.
The value of x is 44 degrees.
First one has one solution
Second has infinite solutions
Third has no solutions.
I believe the answer is x-5 y-15
Y=40x+65
145=40x+65
145-65= 40x
80=40x
80/40=x
x=2
