Answer:
x=11
Step-by-step explanation:
We would add 8 to both sides of the equation, leaving us with x=11
Answer 45
Step-by-step explanation:
Because 2 times 5 is 10 so 7 times 5 is 35 then add them together.
Answer: (2α) = cos²(α) - sin²(α)
Step-by-step explanation:
The expression for cosine of the sum of two angles is:
cos (α + β) = cos(α)*cos(β) - sin(α)*sin(β)
in case α = β
cos ( α + α ) = cos (2α) = cos(α)*cos(α) - sin(α)*cos(α)
Hence cos (2α) = cos²(α) - sin²(α)
Answer:
Step-by-step explanation:
we know that
The <u><em>Trapezoid Mid-segment Theorem</em></u> states that: A line connecting the midpoints of the two legs of a trapezoid is parallel to the bases, and its length is equal to half the sum of lengths of the bases
so In this problem
![EF=\frac{1}{2}[AD+BC]](https://tex.z-dn.net/?f=EF%3D%5Cfrac%7B1%7D%7B2%7D%5BAD%2BBC%5D)
substitute the given values
![x=\frac{1}{2}[(x-6)+(2x-3)]](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D%5B%28x-6%29%2B%282x-3%29%5D)
![x=\frac{1}{2}[3x-9]](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D%5B3x-9%5D)
so
