Answer:
a = 38⁰
b = 54⁰
c = 54⁰
Step-by-step explanation:
a + 142⁰ = 180⁰ because a straight line = 180⁰
b + 38⁰ + 88⁰ = 180⁰ because the angles of a triangle equal 180⁰, and the missing measurement = 38⁰ because it is a vertical angle to angle a
c + 88⁰ = 142⁰ because the angles are corresponding angles
Answer:
α² +β² = 3 4/9
Step-by-step explanation:
Assuming α and β are solutions to the equation, it can be factored as ...
(x -α)(x -β) = 0
Expanding this, we get ...
x² -(α +β)x +αβ = 0
Dividing the original equation by 3, we find ...
x² +(1/3)x -5/3 ≡ x² -(α+β)x +αβ ⇒ (α+β) = -1/3, αβ = -5/3
We know that the square (α+β)² can be expanded to ...
(α +β)² = α² +β² +2αβ
α² +β² = (α +β)² -2αβ . . . . . . subtract 2αβ
Substituting the values for (α+β) and αβ, we find the desired expression is ...
α² +β² = (-1/3)² -2(-5/3) = 1/9 +10/3 = 31/9
α² +β² = 3 4/9
the second one 6,6,6 it is a square all the others seem like a triangle
Answer:
x = 45
Step-by-step explanation:
The 3 angles of a triangle add up to 180
<a + <b + <c = 180
substitute what you know
55+ 80 + <c = 180
combine like terms
135 + <c = 180
subtract 135 from each side
<c = 180 -135
<c = 45
x = 45
Answer:
k = -9
Step-by-step explanation:
When a number (coefficient) is next to a letter (variable) that means you multiply. To solve you would to the opposite, which is to divide.
-126 ÷ 14 = -9
So -9 is equal to k.
Hope that helps and have a great day!
