Answer:
X=-1
Step-by-step explanation:
0=2x+2
subtract 2 out
-2 = 2x
divide 2 on both sides x = -1
lines a and d are parallel and lines b and c are parallel
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Use Pythagoras' theorem:
a^2 + b^2 = c^2
Sub the values in:
10^2 + 10^2 = c^2
200 = c^2
Square root to find the answer:
c = 14.14
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-21 - (-13)
-21 + 13
= -8
The answer B)
AB = ==> distance between the bottom of the plank; and the wall ===> 3 ft.
C ====> 49 degrees
For letter a, to solve for AC:
AC ==> HYPOTENUSE. The angle C is the OPPOSITE side of AB.
use sine :
sin A ===> opposite/hypotenuse
Solve:
sin 49 ====> 3/AC
AC ====> 3 / sin 49
AC ====> 3.96 ft.
For letter b, to solve for BC:
We are now given with the base (3 ft.); and; the hypotenuse (3.96 ft.) so we can use the Pythagorean theorem:
a^2 + b^2 = c^2
Let:
a ===> AB
b ===> BC
c ===> AC
(AB)^2 + (BC)^2 ===> (AC)^2
3^2 + (BC)^2 ===> (3.96)^2
(BC)^2 ===> (3.96)^2 - 3^2
(BC)^2 ===> 6.6816
sqrt (BC)^2 ===> sqrt 6.6816
Answer: BC ===> 2.58 ft.
Hope that helps!!!! : )