Answer:
The answer is x=35
Step-by-step explanation:
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Answer:
C. AB/XY = AC/XZ
Step-by-step explanation:
Dilation:
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. The original figure either stretches or shrinks by a certain factor.
In the problem, the dilation is by a factor of 5 and we can see that ABC shrinks to form XYZ.
So, ABC and XYZ are similar triangles which means that the ratio of their corresponding sides will be equal:
AB/XY = AC/XZ = BC/YZ = 5
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Step-by-step explanation:
Answer:
88
Step-by-step explanation:
Geometric progresión:
we can calculate any term, using this rule:
an=a₁*r^(n-1)
a₁=the first term
r=the common ratio
a₆=128
r=2
an=a₁ * r^(n-1)
128=a₁ * 2⁶⁻¹
128=a₁ * 2⁵
128=a₁ * 32
a₁=128/32=4
Solution: a₁=4
Given that sequence 1.77, 1.92,2.07 is arithmetic sequence.
Using that we have to find 31st term.
To find that we can use nth term formula of arithmetic sequence which is given by:

where n is the number of term so n=31
t_n indicates nth term
a_1 is the first term so a_1=1.77
r is the common difference which is given by difference of consecutive terms
then r=1.92-1.77=0.15
Now plug these values into above formula





Hence final answer is 6.27.