Answer:
x = 3
This triangle ABC will be a right triangle as its sides obey the Pythagoras theorem.
Step-by-step explanation:
Let us assume that the triangle Δ ABC has vertices A(x,3), B(-3,-1) and C(-1,-4) and it is a right triangle.
We have to determine x.
Applying the Pythagoras Theorem,
AB² + BC² = AC² {If AC is the hypotenuse of the right triangle}
⇒ [(x + 3)² + 4²] + [(- 2)² + 3²} = (x + 1)² + 7²
⇒ x² + 6x + 38 = x² + 2x + 50
⇒ 4x = 12
⇒ x = 3 (Answer)
This triangle ABC will be a right triangle as its sides obey the Pythagoras theorem. (Answer)
Answer:
positive linear association
Step-by-step explanation:
the slope is positive so the linear association is also positive and linear mean generaly in a line not on a curve like a nonlinear assciation.
Answer:
and 
Step-by-step explanation:
The LCM of 35 and 10 is 70.
35×2=70
10×7=70
You got to multiply 3 with 2 and 1 with 7 to make 6/70 and 7/70.
The surface area of the triangular prism is 1664 square inches.
Explanation:
Given that the triangular prism has a length of 20 inches and has a triangular face with a base of 24 inches and a height of 16 inches.
The other two sides of the triangle are 20 inches each.
We need to determine the surface area of the triangular prism.
The surface area of the triangular prism can be determined using the formula,

where b is the base, h is the height, p is the perimeter and l is the length
From the given the measurements of b, h, p and l are given by
,
,
and

Hence, substituting these values in the above formula, we get,

Simplifying the terms, we get,

Adding the terms, we have,

Thus, the surface area of the triangular prism is 1664 square inches.