Answer:
(x, y) = (2, -1.5)
Step-by-step explanation:
x + 2y = -1
5x - 4y = 16
<=>
(2)x + (2)2y = (2)(-1)
5x - 4y = 16
<=>
2x + 4y = -2
5x - 4y = 16
<=>
7x = 14
<=>
x = 2
(*)x + 2y = -1
=> 2 + 2y = -1
=> 2y = -3
=> y = -1.5
=> (x, y) = (2, -1.5)
Answer:
6250 pounds =3.125 us tons
Given:
Consider the sides of the triangle are 4x+10, 2x-5 and 18 (in feet).
Perimeter of this triangle is to be no more than 77 feet.
To find:
The inequality and solution of the inequality.
Solution:
Perimeter of a triangle is the sum of all side.
Perimeter of given triangle 
Perimeter of this triangle is to be no more than 77 feet. It means perimeter must be less than or equal to 77.





Divide both sides by 6.


Therefore, the required inequality is
and the solution is
.
Given:



To find:
The measure of angle MFZ.
Solution:
In triangles MFZ and PFZ,
(Right angle)
(Given)
(Common side)
(HL congruent postulate)
(CPCTC)




The value of x is 10.
The measure of angle MFZ is:



Therefore, the measure of angle MFZ is 19 degrees.