Answer:
4 Units
Step-by-step explanation:
EF=x
FG=3x-5
EG=5x−8
Since F is on line segment ![\overline{EG}](https://tex.z-dn.net/?f=%5Coverline%7BEG%7D)
EG=EF+FG
5x−8=x+3x-5
5x-8=4x-5
Collect like terms
5x-4x=-5+8
x=3 Units
Therefore:
![\overline{FG}=3x-5\\=3(3)-5\\=9-5\\$=4 Units](https://tex.z-dn.net/?f=%5Coverline%7BFG%7D%3D3x-5%5C%5C%3D3%283%29-5%5C%5C%3D9-5%5C%5C%24%3D4%20Units)
Answer:
about 25
Step-by-step explanation:
102.02 ÷ 4.011?
I will round 102.02 to 100
I will round 4.011 to 4
100/4 is 25
My estimates of 102.02 ÷ 4.011 is about 25
Answer:
Step-by-step explanation:
The triangles are set up so we see that angle A and angle D are congruent. We also know that, by the definition of vertical angles, angles CED and BEA are congruent. That means, by the Triangle Angle-Sum Theorem, that angles C and B are also congruent. That does NOT mean, however, that the triangles are congruent because their corresponding side lengths are not the same. What it does mean is that the triangles are similar. If we were to pull them apart and set them next to each other, our triangle similarity statement would be that ΔECD ~ ΔEBA. That means that their corresponding sides exist in proportion to one another. Namely, side ED is proportional to side EA, and side CD is proportional to side BA. That's all we need to find the length of BA, the distance across the lake. The proportion is set up like this:
and fill in the distances:
![\frac{400}{2100} =\frac{200}{BA}](https://tex.z-dn.net/?f=%5Cfrac%7B400%7D%7B2100%7D%20%3D%5Cfrac%7B200%7D%7BBA%7D)
Cross multiply to solve for BA:
400BA = 420000 so
BA = 1050 feet
Answer:
The simplest form ratio is 1 : 50000.
Step-by-step explanation:
To find the ratio of 2 cm : 1 km
Firstly, we need to convert both the quantities into the same unit of measurement.
Now 1 km = 1,00,000 cm
So, now we need to find the ratio of 2 cm : 1,00,000 cm
⇒ The required Ratio is ![\frac{2}{100000} =\frac{1}{50000}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B100000%7D%20%3D%5Cfrac%7B1%7D%7B50000%7D%20)
Hence, the simplest form ratio is 1 : 50000
Answer:
ooooo
Step-by-step explanation: