Answer
b) A(10) = 15 + 9(-2)
<u>Explanation</u>
15, 13, 11, 9, ... This is an arithmetic sequence.
The common difference = 13 - 15 = -2
or = 9 - 11 = -2
The first term of the sequence = 15.
The nth term of an arithmetic sequence is given by:
Tn = a + (n - 1)d
∴ T₁₀ = 15 + (10 - 1)(-2)
= 15 + (9 × -2) ⇒ This is the expression you need.
= 15 + -18
= -3
In the figure,ABC is congruent to ADC . If the square ABCD is dilated by a factor of 2 to form A'B'C'D', the ratio of the area of A'B'C'D' to the area of ABCD is 1/2. Since the dilation is by a factor of 2, so the area of the A'B'C'D' should be smaller than the area of ABCD.
<h3>
Answer: Angle A = 34 degrees</h3>
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Explanation:
Check out the diagram below.
Segment BD cuts angle EBC in half
So the two smaller pieces DBC and DBE are congruent. Let's call them x.
Let's make y = angle EBA.
Note how the diagram shows the angles x, x, and y forming a straight angle. So we can say
x+x+y = 180
2x+y = 180
y = -2x+180
We'll use this later.
For now, focus on triangle DEB. Angle E is 90 degrees and angle B is x.
D+E+B = 180
28+90+x = 180
x+118 = 180
x = 180-118
x = 62
Which means
y = -2x+180
y = -2*62+180
y = -124+180
y = 56
Now focus on triangle BEA. We have B = 56, E = 90 and A = z
B+E+A = 180
56+90+z = 180
146+z = 180
z = 180-146
z = 34
which is the measure of angle A.
It's the same only adding a zero at the end
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