Answer:
VP = 117 mm
Step-by-step explanation:
Corresponding sides of similar quadrilaterals are proportional.
VP/FD = BP/KD
VP = FD·BP/KD = (45 mm)·(78/30) . . . . multiply by FD; fill in the givens
VP = 117 mm
You can cross multiply and the answer would be 100/9
9/10=10/k
100=9k
k=100/9
Step-by-step explanation:
the introduction of a fraction tells us that we are dealing with multiplications, and therefore a geometric sequence (where every new term is created by multiplying the previous term by a constant factor, the ratio r).
I think your teacher made a mistake, or you made one when typing the question in here.
there is no factor r that creates
15×r = 9
and
9×r = 5/27
it would mean that
15 × r² = 5/27
r² = 5/27 / 15 = 5/27 × 1/15 = 5/405 = 1/81
r = 1/9
but 15 × 1/9 = 5 × 1/3 = 5/3 is NOT 9
and 9 × 1/9 = 9/9 = 1 is NOT 5/27
so, this can't be right.
on the other hand
15 × r = 9
r = 9/15 = 3/5
and then
9 × 3/5 = 27/5
so, either the sequence should have been
15, 5/3, 5/27
or (and I suspect this to be true)
15, 9, 27/5
under that assumption we have
s1 = 15
r = 3/5
sn = sn-1 × r = s1 × r^(n-1) = 15 × (3/5)^(n-1)
s10 = 15 × (3/5)⁹ = 15 × 19683/1953125 =
= 3 × 19683/390625 = 59049/390625 =
= 0.15116544 ≈ 0.151
Answer:
Sydney is 44 years old
Step-by-step explanation:
<u>Step 1: Make a system of equations
</u>
d = s - 15
<em>d + s = 73
</em>
<u>Step 2: Plug in s - 15 for d in the second equation and solve
</u>
s - 15 + s = 73
2s - 15 = 73 + 15
2s / 2= 88 / 2
<em>s = 44
</em>
Answer: Sydney is 44 years old
