Answer:
6 < x < 30
Step-by-step explanation:
By the Hinge Theorem, we know that
Angle BAC > Angle DAC
The two triangles that make the diamond have two equal sides. The third side of the upper triangle is longer than the third side if the lower triangle. To fit in the longer side, line AB had to be pushed outwards, forming a larger angle.
When we compare the two angles 48 and (2x-12), we now know that 48 is larger.
48 > 2x-12
48+12 > 2x
60 > 2x
60/2 > x
x < 30
Furthermore, angle DAC can't be negative or zero
2x - 12 > 0
2x > 12
x > 6
I'm guessing 20° but I'm not exact on it
The plot of land forms right triangle.
Step-by-step explanation:
Let,
the three sides are a,b and c.
The sum of square of two sides equals to the square of third side. We will consider the larger side as c, therefore,
a= 2000 feet
b= 2100 feet
c= 2900 feet
Using Pythagoras theorem;

As the three sides satisfy pythagoras theorem, therefore, the plot of land form right triangle.
The plot of land forms right triangle.
Keywords: triangle, pythagoras theorem
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Answer:
7/16
Step-by-step explanation: