Answer:
see below
Step-by-step explanation:
5.
VW = 4x - 20
UW = 6X - 35
UV = 19
<u>find x to get UW</u>
UV + VW = UW
19 + 4x - 20 = 6x - 35
x = 17
VW = 4(17) - 20
VW = 48
UW = 6(17) - 35
UW = 67
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6.
HJ = 7x - 27
HI = 3x - 5
IJ = x - 1
<u>find the value of x</u>
HI + IJ = HJ
3x - 5 + x - 1 = 7x - 27
x = 7
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7.
BC = 4x - 29
CD = 5x - 9
BD = 7x - 10
<u>find each value</u>
BC + CD = BD
4x - 29 + 5x - 9 = 7x - 10
x = 14
BC = 4(14) - 29
BC = 27
CD = 5(14) - 9
CD = 61
BD = 7(14) - 10
BD = 88
----------------------------------------------------
8.
BD = BC
BD = 5x - 26
BC = 2x + 1
AC = 43
<u>find AB</u>
BD = BC
5x - 26 = 2x + 1
x = 9
AB + BC = AC
AB + 2(9) + 1 = 43
AB = 24
----------------------------------------------------
9.
LK = MK
LK = 7x - 10
KN = x + 3
MN = 9x - 11
KJ = 28
<u>find LJ</u>
MK + KN = MN
7x - 10 + x + 3 = 9x - 11
x = 4
KJ + LK = LJ
28 + 7(4) - 10 = LJ
LJ = 46
Answer:
c)the line should be solid
The distance of the observer and height of the building form a right angle triangle. Using:
tan∅ = height/base
We calculate the height of the building:
height = 64tan(39)
height = 51.8 meters
The second angle is obtained when the height of both the building and tower are used:
Height(building + tower) = 64tan(48)
51.8 + tower height = 71.1
tower height = 19.3 meters
Answer:
0.02379994434
Step-by-step explanation:
The answer is D. Because the sq. rt. of 1 is 1, the sq. rt. of 9 is 3, and the sq. rt. of 25 is 5. When you take the sq. rt. of 50 you get 7.071067.
