The answer is ∠BED by vertical angles theorem.
Answer:
x = 10
Step-by-step explanation:
Given
+ 13 = 
( multiply through by 10, the LCM of 5 and 2 to clear the fractions )
2x + 130 = 15x ( subtract 2x from both sides )
130 = 13x ( divide both sides by 13 )
10 = x
Since AB = CD the trapezoid is isosceles, which means that ∡A = ∡D
Therefore also ∡2 = ∡3 (they are half of the congruent angles)
For the properties of parallel lines (BD and AD) crossed by a transversal (BD) we have ∡3 = ∡CBD.
Now consider triangles AOD and BCD:
∡OAD (2) = ∡ADO (3) = ∡CBD (3) = ∡CDB (4)
T<span>he sum of the angles of a triangle must be 180°, t</span>herefore:
∡AOD = 180 - ∡2 - ∡3
∡BCD = 180 - ∡3 - ∡4
∡AOD = ∡BCD because their measure is the difference of congruent angles.
(5,0) is the x-intercept because when you plug 0 in for y, x=5.
(0,4) is the y-intercept because when you plug in 0 for x, y=4.
Answer:
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Step-by-step explanation:
