Answer: Area of ΔABC is 2.25x the area of ΔDEF.
Step-by-step explanation: Because equilateral triangle has 3 equal sides, area is calculated as
with a as side of the triangle.
Triangle ABC is 20% bigger than the original, which means its side (a₁) measures, compared to the original:
a₁ = 1.2a
Then, its area is
Triangle DEF is 20% smaller than the original, which means its side is:
a₂ = 0.8a
So, area is
Now, comparing areas:
2.25
<u>The area of ΔABC is </u><u>2.25x</u><u> greater than the area of ΔDEF.</u>
Answer:
The other rational number is .
Step-by-step explanation:
First rational number is
Let other rational number is
The product of two rational numbers is
According to question,
Multiplying both sides by (-3/2) such that,
So, the other rational number is .
Answer:
x = 35 , y = 72.5
Step-by-step explanation:
(a)
x and 35° are vertical angles and are congruent, then
x = 35
(b)
y. y and 35 lie on a straight line and sum to 180°, that is
y + y + 35 = 180
2y + 35 = 180 ( subtract 35 from both sides )
2y = 145 ( divide both sides by 2 )
y = 72.5
Answer:
x>3
Step-by-step explanation:
8x - 2x > 12+ 6
-> 6x > 18
-> x > 3
The answer is 96 square ft