Answer:
19
Step-by-step explanation:
[(x - 3)⁵]^¼ = 32
(x - 3)⁵ = 32⁴
(x - 3)⁵ = (2⁵)⁴
x - 3 = 2⁴
x - 3 = 16
x= 19
For a better understanding of the solution given here please find the attached file which has the relevant diagram.
To answer this question we will have to make use of <u>the Isosceles Triangle Theorem</u> which states that the perpendicular bisector of the base of an isosceles triangle is also the angle bisector of the vertex angle. Thus, as a corollary we know that is EF is the angle bisector of the vertex angle ∠E, then, EF is the perpendicular bisector of the of the base DK.
Please follow the diagram of a complete understanding of the logic and the solution.
As EF is the angle bisector as given in the question, thus we will have:
.
Also, from the Theorem we know that KF will be half of DK and thus, KF will be: centimeters.
Likewise, from the same theorem we have:
Length = 60; Width = 36
The formula for Perimeter is P = 2L + 2W
Where L = length; W = width
192 = 2L + 2W
= 2(5x) + 2(3x)
= 10x + 6x
= 16x
192/16 = 16x/16
x = 12
Substitute the values:
192 = 2(5x) + 2(3x)
= 2(5*12) + 2(3*12)
= 2(60) + 2(36)
192 = 192
Answer:
B. y = 5/2x - 14
Step-by-step explanation:
Find the slope of the original line and use the point-slope formula y
−
y
1
=
m
(x
−
x
1
) to find the line parallel to y
=
5
/2
x
−
10
.
y
=
5
/2
x
−
14 PARALLEL
...................................................................................................................................................
Find the negative reciprocal of the slope of the original line and use the point-slope formula y
−
y
1
=
m
(
x
−
x
1
) to find the line perpendicular to y
=
5
/2
x
−
10
.
y
=
−
2
/5
x
−
157
/5 PERPENDICULAR
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