Answer:
see explanation
Step-by-step explanation:
Since figure B is smaller than Figure A then Figure B is a reduction.
To find the scale factor, calculate the ratio of corresponding sides, image to original.
Using the base lines of both triangles, then
scale factor k =
= 
The radius of a circle with the same vertex as a center is 12 units
<h3>Application of Pythagoras theorem;</h3>
To get the radius of the circle, we need to determine the diameter of the circle first:
According to SOH CAH TOA:

Determine the radius of the circle
Radius = dismeter/2
Radius = 24/2
Radius = 12
Hence the radius of a circle with the same vertex as a center is 12 units
Learn more on radius of a circle here: brainly.com/question/24375372
Answer:
a[n] = a[n-1]×(4/3)
a[1] = 1/2
Step-by-step explanation:
The terms of a geometric sequence have an initial term and a common ratio. The common ratio multiplies the previous term to get the next one. That sentence describes the recursive relation.
The general explicit term of a geometric sequence is ...
a[n] = a[1]×r^(n-1) . . . . . where a[1] is the first term and r is the common ratio
Comparing this to the expression you are given, you see that ...
a[1] = 1/2
r = 4/3
(You also see that parenthses are missing around the exponent expression, n-1.)
A recursive rule is defined by two things:
- the starting value(s) for the recursive relation
- the recursive relation relating the next term to previous terms
The definition of a geometric sequence tells you the recursive relation is:
<em>the next term is the previous one multiplied by the common ratio</em>.
In math terms, this looks like
a[n] = a[n-1]×r
Using the value of r from above, this becomes ...
a[n] = a[n-1]×(4/3)
Of course, the starting values are the same for the explicit rule and the recursive rule:
a[1] = 1/2
Answer:
x = -4/9
Step-by-step explanation:
X + B = C
x + (-8/4) = (22/-9)
x = (8/4) - (22/9)
x = 2 - 22/9 = 18/9 - 22/9 = -4/9
That's false.
For similar triangles, corresponding angles are congruent.
Corresponding sides are in the same ratio but rarely congruent.
(They're congruent only if the ratio is ' 1 ', i.e. the triangles are congruent
as well as being similar.)