Answer:
65
Step-by-step explanation:
The area of the square is
and the area of a single triangle is
.
The total area is the square plus the 4 triangles 
Answer:
{-14, 4}
Step-by-step explanation:
the absolute value function only makes sure that the result always has a positive sign.
so, (x + 5) must be either +9 or -9 to make the original equation true. the absolute value would turn both into +9.
so,
x + 5 = 9
x = 4
and
x + 5 = -9
x = -14
that gives us the correct set of solutions as indicated above.
Answer:
20
Step-by-step explanation:
25 + 7x = 165
25 + 7(20) = 165
25 + 140 = 165
Answer:
The answer is below
Step-by-step explanation:
a) Triangle A is attached in the image below.
The base of triangle A is 3 units and its height is 3 units. The area of a triangle is given as:
Area = (1/2) × base × height
Area of triangle A = (1/2) × base × height = (1/2) × 3 × 3 = 4.5 unit²
Area of the scaled copy = 72 unit²
Ratio of area = Area of the scaled copy / Area of triangle A = 72 unit² / 4.5 unit² = 16
Hence the scaled copy area is 16 times larger than that of triangle A.
b) For the scaled copy:
Area of the scaled copy = (1/2) × base × height = 72 unit²
base × height = 144
Since the base and height are equal
base² = 144
base = 12, also height = 12
Base of scaled copy = 12 = 4 × base of triangle A
Therefore the scale factor used is 4
Answer:

Step-by-step explanation: