Answer:
90 degrees
Step-by-step explanation:
B is the corner and angle opposite of the side AC.
so, AC is becoming side c, and the other two are a and b (it does not matter which is which).
we use the enhanced Pythagoras formula for general triangles
c² = a² + b² - 2ab×cos(C)
in our example the angle C is named B.
but other than that we simply calculate
10² = 6² + 8² - 2×6×8×cos(B)
100 = 36 + 64 - 96×cos(B)
100 = 100 - 96×cos(B)
0 = -96×cos(B)
cos(B) = 0
=>
B = 90 degrees
Answer:
slope = 7
Step-by-step explanation:
To calculate the slope m use the slope formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 4, 7) and (x₂, y₂ ) = (- 5, 0)
m =
=
= 7
Answer:
Finally, Juno and her satellite were able to return home to her family.
Step-by-step explanation:
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3x + 4y = -5
-3x -3x
4y= -3x -5
/4 /4
y= -3/4x-5/4
3x + 3y = -2
-3x -3x
3y = -3x-2
/3 /3
y= -1x-2/3