Answer:
R = 25
Step-by-step explanation:
Given
- 6 = - 1
Multiply through by 5 to clear the fraction
R - 30 = - 5 ( add 30 to both sides )
R = 25
Answer:
(-2,-3) and (3,2)
Step-by-step explanation:
sub in x-1 into y
x^2 + (x-1)^2 = 13
x^2 + (x-1)(x-1)=13
x^2 + x^2 -2x +1 = 13
2x^2 -2x-12=0
solve for x by factoring (quadratic formula, product sum etc..)
x= -2 and 3
plug in those values into y=x-1 and solve for y
Answer: $53,330
Step-by-step explanation:
This is an exponential function so to find the salary in 3 years, you need to use a future value formula such as :
= Amount * ( 1 + rate) ^ number of years
Amount = $51,000
Rate = 1.5%
Number of years = 3 years
Salary = 51,000 * ( 1 + 1.5%)³
= 53,329.59
= $53,330
The answer is the a next to the 5
Answer:
a) corresponding angles of similar polygons are congruent
b) corresponding sides of similar polygons are proportional
c) a triangle is a polygon
Step-by-step explanation:
By <em>definition</em>, similar polygons have congruent corresponding angles and proportional corresponding sides.
A triangle is a polygon, so two triangles will be similar if they have congruent corresponding angles and proportional corresponding sides.
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For an n-sided polygon, one only needs to show the conditions are met for n-1 angles and sides. Those will determine the measures of the final angle/side.
