Answer:
3×2 + 3×-b
Step-by-step explanation:

Given:
The figure of a rhombus.
To find:
The value of x.
Solution:
We know that, if two lines intersect each other, then the vertically opposite angles are equal.
From the given figure it is clear that the diagonals intersect each other and construct two pairs of vertically opposite angles.
Since
and
are vertically opposite angles, therefore

Hence, the value of x is 95°.
Answer:
c. y + 1 = -⅕(x - 2)
Step-by-step explanation:
To write the equation in point-slope form, we need to know the slope (m) and coordinates of a point the line passes through.
The equation would be in the form of y - b = m(x - a).
(a, b) = (2, -1)
Since the line is perpendicular to y = 5x + 3, the slope will be the negative reciprocal of 5 which is -⅕
m = -⅕.
Substitute a = 2, b = -1, and m = -⅕ into y - b = m(x - a).
Thus:
y - (-1) = -⅕(x - 2)
y + 1 = -⅕(x - 2)
Answer:
102
Step-by-step explanation:
2(3)³ + 3(6-2)2
2 (27) + 3(4)2
54 + 48
102