Answer:
x = 12z + 1 and y = 10z - 1
Step-by-step explanation:
To solve the system of equations, we can use the substitution method
If we call
3x - 4y + 4z = 7 I
x - y - 2z = 2 II
2x - 3y + 6z = 5 III
Clearing II x = 2 + y + 2z
Now, replacing II in III
2(2 + y + 2z) - 3y +6z = 5
4 + 2y + 4z - 3y + 6z = 5
10z - y = 1 from here y = 10z - 1
Finally, replacing y in I
3x - 4(10z - 1) + 4z = 7
3x -40z + 4 + 4z = 7
3x - 36z = 3
3x = 36z + 3
x = 12z + 1
Done
The diagonals of the rhombus intersect at right angle. Then the value of x will be 32°.
<h3>What is a rectangle?</h3>
It is a polygon with four sides. The total interior angle is 360 degrees. In a rhombus, opposite sides are parallel and equal.
Figure ABCD is a rhombus.
Its diagonals intersect at right angle.
Let the another angle be x. Then we have
x + 58° + 90° = 180°
x + 148° = 180°
x = 32°
More about the rhombus link is given below.
brainly.com/question/27870968
#SPJ1
Of your numbers listed, 29 and 41 are the lengths of the hypotenuse of a Pythagorean triple.
Those triples are
(20, 21, 29)
(9, 40, 41)
_____
The On-Line Encyclopedia of Integer Sequences (OEIS) lists the hypotenuses of primitive triples as sequence number A020882.
80/4 = 20
explanation
20*4= 80
hope i helped!
Answer:
y = 9
inches
Step-by-step explanation:
Since the base angles are congruent then the triangle is isosceles with both legs being equal.
Using Pythagoras' identity in the right triangle
y² = 9² + 9² = 81 + 81 = 162 ( take the square root of both sides )
y = 
= 
= 9
