Answer:
see explanation
Step-by-step explanation:
(5)
Since ∠EBA = 90° then ∠ABD = 90° ( straight angle ) and
∠ABC + ∠CBD = ∠ABD, that is
2x + 3x - 10 = 90, simplifying
5x - 10 = 90 ( add 10 to both sides )
5x = 100 ( divide both sides by 5 )
x = 20, thus
∠ABC = 2x = 2 × 20 = 40°
∠CBD = 3x - 10 = (3 × 20) - 10 = 60 - 10 = 50°
(6)
4x - 18 = 3x + 7 ( vertical angles are congruent )
Subtract 3x from both sides
x - 18 = 7 ( add 18 to both sides )
x = 25
7y = 5y + 28 ( vertical angles are congruent )
Subtract 5y from both sides
2y = 28 ( divide both sides by 2 )
y = 14
The polynomial function of the least degree with integral coefficient that has the given zeros is <span>y = (x+2)(x-2)(x-4)(x-6). I hope you are satisfied with my answer and feel free to ask for more if you have questions and further clarifications about the said problem.</span>
Answer and Step-by-step explanation:
Solve for x.
Distribute the 2.
4x - 5 = 4x - 2 - 3
Combine like terms
4x - 5 = 4x - 5
Add 5, and subtract 4x.
0 = 0
There are infinitely many solutions, meaning any value plugged in for x will result in the equation being true.
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Answer:
The missing area for both sides is 48ft²
the missing dimension is 12ft
Step-by-step explanation:
Add all the areas up
12+36+12+36=96
192-96=96
96÷2=48
48÷4=12