Step-by-step explanation:
from what I can see there are 2 options to make the 2 triangles congruent :
either the opposite sides must be equal or the neighboring sides must be equal.
so, either
5x = 3x + 10
and
5x - 2 = 4x + 3
or
5x = 4x + 3
and
5x - 2 = 3x + 10
for the first
5x = 3x + 10
2x = 10
x = 5
control
5x - 2 = 4w + 3
5×5 - 2 = 4×5 + 3
23 = 23
correct.
for the second
5x = 4x + 3
x = 3
control
5×3 - 2 = 3×3 + 10
15 - 2 = 9 + 10
13 = 19
no, not a valid solution.
so, x = 5
As we already have the model that describes the change of the population in Italy in terms of the years that have elapsed, we only have to replace the conditions that are requested in that equation.
Therefore to find the population of Italy in the year 2000 (t = 10 years) substitute t = 10 in the equation and have:
million people
To find the population of Italy in 2008 (t = 18 years)
substitute t = 18 in the equation and have:
million people
To predict the population in Italy for 2015 and 2020 with this model, we substitute in the equation t = 25 and t = 30
t = 25
million people
t = 30
million people
The answer is z result of flipping. Two coins
Answer: The net weight of the pigs of the truck is 1 ton 868 pounds 12 ounces.
The weight of the empty truck is 7 tons 254 pounds 10 ounces.
Step-by-step explanation:
Since we have given that
The gross weight of a truck containing 30 pigs = 8 tons 1123 pounds 6 ounces
Average weight of one pig = 95 pounds 10 ounces
Now,
We know that
So,
Similarly,
So, Net weight of the pigs in the truck
So, the net weight of the pigs of the truck is 1 ton 868 pounds 12 ounces.
Now, we'll find the weight of the empty truck is given by
Hence, the weight of the empty truck is 7 tons 254 pounds 10 ounces .
w - width
2w + 5 - length
w + w + (2w + 5) + (2w + 5) = 6w + 10 - perimeter
34 cm - perimeter
The equation:
6w + 10 = 34 <em>subtract 10 from both sides</em>
6w = 24 <em>divide both sides by 6</em>
w = 4 cm
2w + 5 = 2(4) + 5 = 8 + 5 = 13 cm
<h3>Answer: Width = 4cm, Length = 13cm</h3>