By definition of supplementary angles,
∠ABD + ∠BDE = 180
5x + 17x - 18 = 180
22x = 198
x = 9
∠ABD = 5(9) = 45°
∠BDE = 180 - 45 = 135°
Given:
The equation is:

To find:
The logarithmic equation that is equivalent to the given exponential equation.
Solution:
According to the property of logarithm:

We have,

Here,
. By using the above property of logarithm, we get


Therefore, the correct option is C.
Area of a trapezoid
1/2(a+b)(h) where a and b are the parallel sides and h is the height.
a = 12.9, b = 8.6, h = 6.4
A = 1/2(12.9 + 8.6)(6.4) = 68.8 cm²
Answer:
The coordinates of the image trapezoid are
A"(-4,5), B''(-1,5), C''(0,3), D''(-5,3)
The pre-image was first reflected in the line y=x, so the mapping will be
The resulting coordinates were then translated 4 units right;
For A''(-4,5), y+4=-4 and x=5
This means y=-8, x=5
Hence A(5,-8)
For B''(-1,5), y+4=-1, and x=5.
This means y=-5 and x=5
B(5,-5)
For C''(0,3), C(3,-4)
For D''(-5,3), D(3,-9)
Step-by-step explanation:
there u go