Answer:
Step-by-step explanation:
Given:
(segment addition postulate)
(substitution)
(subtracting 17 from each side)
(Subtracting 5y from both sides)
(dividing both sides by -2)
Plug in the value of y
Answer:
see attached diagram
Step-by-step explanation:
A dilation with a scale factor of 
centered at the origin has a rule:
Then the image of the triangle ABC is triangle DEF(see attached diagram) with coordinates
Answer:
x=17
Step-by-step explanation:
(5x-58)=(2x-7) ->(because of cosine-rule)
3x=51
x=17
See the attached picture.
Answer:
an=1*2.5^(n-1)
=2.5^(n-1)
Step-by-step explanation:
Complete question below:
What value, written as a decimal, should Lena use as the common ratio? Lena is asked to write an explicit formula for the graphed geometric sequence. On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 2.5), (3, 6.25).
Solution
Point (1, 1), (2, 2.5), (3, 6.25).
a=1
ar=2.5
ar^2=6.25
From ar and ar^2
r=6.25/2.5
=2.5
r=2.5
an=ar^(n-1)
Therefore, the explicit formula is
an=1*2.5^(n-1)
=2.5^(n-1)
