Answer:
x = 2
Step-by-step explanation:
Assuming the figure is a rhombus, the diagonal divides the figure into two isosceles triangles. That means the marked angles are congruent:
7x² -8 = 6x² -2x
x² +2x -8 = 0 . . . . . . . subtract 6x²-2x
(x +4)(x -2) = 0 . . . . . factor
x = -4 or x = 2 . . . . . values of x that make the factors zero
The only value of x that makes sense in this problem is ...
x = 2
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<em>Additional comment</em>
We know the base angles of an isosceles triangle must be less than 90°. As the attached graph shows, the angle measures for x=-4 would both be 104°, an impossible situation for this geometry.
Answer:
1.6 teaspoon of powdered fertilizer needed to make 1 gallon of liquid fertilizer
Step-by-step explanation:
Given as :
The amount of liquid fertilizer prepared = 5 gallons
The amount of powered fertilizer mix with water = 8 teaspoon
Now ,
∵ For making 5 gallons of liquid fertilizer the amount of fertilizer mix with water = 8 teaspoon
∴ For making 1 gallon of liquid fertilizer the amount of fertilizer mix with water = 
teaspoon
Or, For making 1 gallon of liquid fertilizer the amount of fertilizer mix with water = 1.6 teaspoon
Hence 1.6 teaspoon of powdered fertilizer needed to make 1 gallon of liquid fertilizer Answer
Answer:
The answer is 9
Step-by-step explanation:
It looks equivalent.
Do the Pythagorean theorem on the triangle shown.
2.1^2-1.4^2
4.2-1.96=2.24
Sqrt of 2.24 is 1.496 or 1.5
Now multiply this by 2 to get the length of x
HOPE THIS HELPS
