Answer:
(A) 20°
Step-by-step explanation:
The relations between angles in a triangle and along a line can be used to find the measure of angle ABE.
<h3>Triangle angles</h3>The congruence AB = BC tells you that ΔABC is isosceles, and that ∠C = ∠A = 30°. The sum of angles in a triangle is 180°, so the measure of angle ABC is ...
∠ABC = 180° -30° -30° = 120°
<h3>Angles on a line</h3>The sum of angles along a line is 180°, so we have ...
∠DBE +∠EBA +∠ABC = 180°
4x +2x +120° = 180°
6x = 60° . . . . . . . . . . subtract 120°, collect terms
2x = 20° . . . . . . . divide by 3
The measure of angle ABE is 20°.
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The figure is drawn to scale in the attachment.
Answer:
a(n)=1.15[a(n-1)]
Step-by-step explanation:
we know that
Let
a0 -----> the length of the original copy
<em>The first copy is equal to</em>
a1=1.15(a0)
<em>The second copy is </em>
a2=1.15[1.15(a0)] or a2=1.15[a1]
<em>The third copy is</em>
a3=1.15{1.15[1.15(a0)]} or a3=1.15[a2]
therefore
A recursive formula will be
a(n)=1.15[a(n-1)]
