.5
46
16%
Step-by-step explanation:
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Answer:
We are effectively looking for a and b such that 5, a, b, 135 is a geometric sequence.
This sequence has common ratio <span><span>3<span>√<span>1355</span></span></span>=3</span>, hence <span>a=15</span> and <span>b=45</span>
Explanation:
In a geometric sequence, each intermediate term is the geometric mean of the term before it and the term after it.
So we want to find a and b such that 5, a, b, 135 is a geometric sequence.
If the common ratio is r then:
<span><span>a=5r</span><span>b=ar=5<span>r2</span></span><span>135=br=5<span>r3</span></span></span>
Hence <span><span>r3</span>=<span>1355</span>=27</span>, so <span>r=<span>3<span>√27</span></span>=3</span>
Then <span>a=5r=15</span> and <span>b=ar=15⋅3=45</span>
Answer:
8
Step-by-step explanation:
the pair of triangles is showing a dilations with a scale factor of 2
6/3=2
so it gives us 4 as the before answer and 4x2=8 so x=8
Answer:
7 6/7
Step-by-step explanation:
× 
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× 
=
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Using the distributive property, a(b+ c) = ab + ac. In this case, b is 30, so the blank is 30.
