Answer:
26 units
Step-by-step explanation:
If point F is on the line segment EG, then EF+FG = EG
Given
FG=8,
EF=2x+4
EG=4x−10
Substitute the given values into the formula;
2x+4+8 = 4x−10
2x+12 = 4x-10
collect like terms
2x-4x = -10-12
-2x = -22
x = 22/2
x =11
Since EF = 2x+4
EF = 2(11)+4
EF = 22+4
EF = 26
Hence the numerical length of EF is 26 units
Answer:
The density of the object is
grams per cubic centimeter. (Rounded off to 4th decimal)
Step-by-step explanation:
Density = [Mass/Volume]
Here we have been given the dimensions of the object.
Volume = Height * Width * Length
Volume = 
=
Now we can substitute the Mass and the Volume to the density equation.
Density = [Mass/Volume]
=
=
grams per cubic centimeter. (Rounded off to 4th decimal)
Answer: The triangles are not similar.
Step-by-step explanation:
Two figures are similar simply if they have the same shape, but not necessarily the same size. In a more mathematical sense, similar figures have the same angle measures and proportionate side lengths.
<em>For reference, side lengths are proportionate when the ratios between corresponding/matching sides are the same.</em>
Since we do not have any angles, we will try using the SSS Similarity Theorem, which states that if all three sides of both triangles are in proportion, then the triangles are similar. We will first list all the side lengths and match corresponding ones.

Since we matched corresponding sides, we can now check whether they have the same ratio).


Not all of the side lengths have the same ratio, so these triangles aren't similar. you must multiply 14 by 9/7 to get to 18, but you need to multiply the other two sides by 4/3 to get to their
Answer:
See explanation
Step-by-step explanation:
Given that 9 cups of macaroni requires 27 cups of water
Therefore, 1 cup of macaroni will require 27/9 = 3 cups of water
Now i can help you to work out the correct way of filling the table;
If 1 cup of macaroni requires 3 cups of water
x cups of macaroni will require 9 cups of water
x = 9 *1/3
x = 3 cups of macaroni
If 1 cup of macaroni requires 3 cups of water
x cups of macaroni will require 33cups of water
x = 33 *1/3
x = 11 cups of macaroni
If 1 cup of macaroni requires 3 cups of water
x cups of macaroni will require 21 cups of water
x = 21 *1/3
x = 7 cups of macaroni
If 1 cup of macaroni requires 3 cups of water
x cups of macaroni will require 27 cups of water
x = 27 *1/3
x = 9 cups of macaroni
Use this to tick the table.