Answer:
See explanation
Step-by-step explanation:
Consider triangles CAX and BAX. In these triangles,
- given
- given
- reflexive property
By SAS postulate, 
Congruent triangles have conruent corresponding parts. So,
Consider triangles CXY and BXY. In these triangles,
- - proven
- given
- reflexive property
By SAS postulate, 
Congruent triangles have conruent corresponding parts. So,
7z + 10 - z = 8z - 2(z - 5)
7z + 10 - z = 8z - 2z + 10
6z + 10 = 6z + 10
6z - 6z = 10 - 10
0 = 0
Therefore, 7z + 10 - z = 8z - 2(z - 5)
Answer:
equation in terms of x is 18x - 12
x = 3
area = 104 sq. feet
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Answer:
The remaining liquid has a volume of 345.4 cm³.
Step-by-step explanation:
To solve this question we first need to calculate the volume of each container.
Cylindrical:
Volume = h*pi*r² = 14*3.14*(5)² = 1099 cm³
Cone:
Volume = (1/3)*h*pi*r² = (1/3)*20*3.14*(6)² = 753.6 cm³
Since the liquid from the cylinder was transfered to the cone until the latter was full, then what remains in the cylinder is it's original volume minus the cone volume. So we have:
remaining liquid = 1099 - 753.6 = 345.4 cm³
