Answer: x = 31
Step-By-Step:
<u>To Find x:</u>
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(Angle Sum Property Of Triangles)
(Remove the brackets)
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(Group Accordingly)
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= 
= 
= 
= 
= 
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<u>Therefore</u> x = 31
So,
Angle A = x + 10 = 31 + 10 = 41
Angle B = 2*x + 20 = 2*31 + 20 = 82
Angle C = 2*x - 5 = 62 - 5 = 57
Answer:
y = - 
Step-by-step explanation:
= 
( cross- multiply )
4y = - 7 ( divide both sides by 4 )
y = -
Answer:
(-5, 2) and (2, 6)
Step-by-step explanation:
Use the substitution method. We know that y = 3x and y = x^2 - 10, so we can set them equal to one another.
3x = x^2 - 10
x^2 - 3x - 10 = 0
Use the quadratic equation to solve for x.
x = - 5, 2
Now solve for y using these two values of x by substituting it back into the equations.
y = - 15, 6
In coordinate form, (-5, 2) and (2, 6)
Step-by-step explanation:
Area of triangular prism =1/2 ×base×height
550=1/2×22×h
h=550/11
h=50m
hope it helps.
Answer:
d. 112°
Step-by-step explanation:
m<A = 64° (given)
m<ABC = 180° - 132° (linear pair)
m<ABC = 48°
According to the exterior angle theorem of a triangle, the exterior angle of a ∆ is equal to the opposite interior angles of the ∆.
48° and 64° are interior angles of ∆ABC that are opposite to the exterior angle, x.
Therefore,
x = 48 + 64
x = 112°
