You can write
1.5
⋅
10
5
=
15
⋅
10
4
15
⋅
10
4
−
8
⋅
10
4
=
(
15
−
8
)
⋅
10
4
=
7
⋅
10
4
Since the power is positive we move the dec.point 4 to the right:
=
70000
Hope it works
Answer:
The first blank: not equal
The 2nd blank: not right triangle (it's acute triangle)
The 3rd blank: equal
The 4th blank: it's right triangle
Step-by-step explanation:
4^2 = 3^2 + 3^2
<=> 16 = 9 + 9
<=> 16 = 18 ( nonsense)
so triangle LKJ is not right triangle
5^2 = 4^2 + 3^2
<=> 25 = 16 + 9
<=> 25 = 25 ( make sense)
so triangle ABC is right triangle
Done!! :))
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:

Step-by-step explanation:
Multiply both sides by 2
2x=3y+6
Move variable to the left-hand side and change its sing
-3y=6-2x
Divide both sides of the equation by -3
