Answer:
y = 3
x = 2
Step-by-step explanation:
x+y=5 == -2x - 2y = -10
2x-y = 1 == 2x - y = 1 +
-------------------
-3y = -9
<u>y = 3</u>
x + y = 5
x + 3 = 5
<u>x = 2</u>
Answer:
315
Step-by-step explanation:
The triangle cannot be made.
Solution:
Given sides of a triangle are 8 ft, 20 ft and 8 ft.
<u>To determine if the triangle can be made:</u>
Let us first define the triangle inequality theorem.
Triangle inequality theorem:
The sum of the lengths of the any two sides of a triangle is greater than the length of the third side.
Using this theorem, we can determine if the triangle can be made or not.
8 ft + 20 ft = 28 ft > 8 ft
20 ft + 8 ft = 28 ft > 8 ft
8 ft + 8 ft = 16 ft < 20 ft
Here the sum of the two sides is less than 20 ft.
This is not satisfy the triangle inequality theorem.
Therefore, the triangle cannot be made.
Answer:
3.2
Step-by-step explanation:
For this we need to get the entire volume of the mixture. We get it by summing each quantities:
Vol = 10.6 + 0.6 + 8 = 19.2 L
So, we have 19.2 L for 6 bowls.
For getting the punch of each bowl we just need to divide this volume between the 6 bowls:
19.2 / 6 = 3.2 L
So, each bowl has 3.2 L
Answer:
CU = 117
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
= 
substituting in values to the ratios
= 
( cross- multiply )
24(36x - 1) = 3432 ( divide both sides by 24 )
36x - 1 = 143 ( add 1 to both sides )
36x = 144 ( divide both sides by 36 )
x = 4
CU = 36x - 1 - 26 = (36 × 4) - 27 = 144 - 27 = 117
