Answer:
x = 13, y = 26, z = 5
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , then
2x + 110 + 44 = 180
2x + 154 = 180 ( subtract 154 from both sides )
2x = 26 ( divide both sides by 2 )
x = 13
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2x and y are alternate angles and congruent , so
y = 2x = 2(13) = 26
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The opposite sides of a parallelogram are equal
3z - 1 = 14 ( add 1 to both sides )
3z = 15 ( divide both sides by 3 )
z = 5
Answer:
x = -15
Step-by-step explanation:
Subtract x on both sides
x + 5 = -10
Subtract 5 on both sides
x = -15
Check work:
2(-15) + 5 = -15 - 10
-30 + 5 = -25
-25 = -25
Sinθ=opposite side/hypotenuse
cosθ=adjacent side/hypotenuse
where both the sides are relative to theta.
in this case, 22 is your hypotenuse. theta (θ) is the angle you are examining. i've included a diagram for reference because the equations may format differently depending on which angle you choose as theta.
using my diagram:
sinθ = o/h
sin 15 = o/22
sin 15(22) = o
o=5.69m/s
therefore the vertical component is about 5.69m/s.
cosθ=a/h
cos15 = a/22
cos15(22) = a
a = 21.25m/s
therefore, your horizontal component is about 21.25m/s.
Answer:
Step-by-step explanation:
the answer is b
Answer:
Triangles OAB,BOC,COD,DOA are isocele and right , are thus equals and have the same hypothenus . The quadrilater ABCD is a diamond (having 4 sides equals) and its diagonals perpendicular is thus a square.
Step-by-step explanation: