Answer:
x = 8 sqrt(2)
Step-by-step explanation:
Since this is a right triangle
sin 45 = opp side/ hypotenuse
sin 45 = 8/x
Multiply each side by x
x sin 45 = 8/x *x
x sin 45 = 8
Divide each side by sin 45
x sin 45 /sin 45 = 8 /sin 45
x = 8 / sin 45
We know sin 45 = 1/ sqrt (2)
x = 8 / 1 / sqrt(2)
x = 8 sqrt(2)
{ y = 3 x - 4
9x -3y = 14
Subsititute y = 3x-4 :
[ 9 x - 3 ( 3 x-14 )=14]
Refine:
9 x - 3 ( 3 x - 4 ) = 14
- 2 = 0
is false , therefore the system of equations has no solution
Answer A
hope this helps!
Answer:
The correct option is 4.
Step-by-step explanation:
The non parallel sides of an isosceles trapezoid are congruent.
The image of an isosceles trapezoid is same as the preimage of isosceles trapezoid if
1. Reflection across a line joining the midpoints of parallel sides.
2. Rotation by 360° about its center.
3. Rotation by 360° about origin.
If we rotate the trapezoid by 180° about its center, then the parallel sides will interchanged.
If we reflect the trapezoid across a diagonal, then the resultant figure will be a parallelogram.
If we reflect across a line joining the midpoints of the nonparallel sides, then the parallel sides will interchanged.
After rotation by 360° about the center, we always get an onto figure.
Therefore option 4 is correct.