Answer:
B. The approximate length of EF is 4.47 units, and the approximate perimeter of triangle EFG is 12.94 units.
Step-by-step explanation:
First step is to determine the length of EF, since that will give us 2 sides of the triangle (since EG = EF).
From the diagram, we can easily make a rectangle triangle by dropping a vertical line from vertex E, let's name Z the meeting point of that line with the segment GF. Then we have a rectangle triangle EZF with a height of 4 and a base of 2, of which EF is the hypotenuse. So...
EF² = 4² + 2² = 16 + 4 = 20
EF = √20 = 4.47
Now that we have EF, we also have EG:
EF = 4.47
EG = 4.47
GF = 4 (visible on the graph)
Perimeter = 4.47 + 4.47 + 4 = 12.94 units.
Answer:
false
Step-by-step explanation:
Given:
The actual length of side y is 22cm.
To find:
The length of side x by using the scale drawing.
Solution:
We know that the corresponding sides of original figure and scale drawing are proportional.
![\dfrac{x}{1.8}=\dfrac{y}{1.4}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%7D%7B1.8%7D%3D%5Cdfrac%7By%7D%7B1.4%7D)
![\dfrac{x}{1.8}=\dfrac{22}{1.4}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%7D%7B1.8%7D%3D%5Cdfrac%7B22%7D%7B1.4%7D)
![x=\dfrac{22}{1.4}\times 1.8](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B22%7D%7B1.4%7D%5Ctimes%201.8)
![x\approx 28.286](https://tex.z-dn.net/?f=x%5Capprox%2028.286)
Therefore, the length of side x is about 28.286 cm.
Answer:
0.4375
Step-by-step explanation:
Answer:
![\frac{1}{3}x+16=37](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7Dx%2B16%3D37)
63 Jelly Beans
Step-by-step explanation:
The unknown is the number of jelly beans originally in the bag or x
First he had x jelly beans
The he ate one-third of them
![\frac{1}{3}x](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7Dx)
He then ate 16 more jelly beans
![\frac{1}{3}x+16](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7Dx%2B16)
This was equal to 37 jelly beans
![\frac{1}{3}x+16=37](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7Dx%2B16%3D37)
This is the equation
Now solve for x
Subtract 16 from both sides
![\frac{1}{3}x=21](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7Dx%3D21)
Multiply both sides by 3
![x=63](https://tex.z-dn.net/?f=x%3D63)
63 Jelly Beans