4. 120° ~ vertical angles are congruent
5. 13° ~ vertical angles are congruent
6. 70° ~ supplementary angles
7. 115° ~ supplementary angles
First a reciprocal is a fraction but flipped over. So so if we have x/y, it's recipricam is y/x.
this helps to know when you understand that dividing by a fraction is the same thing as multiplying by that fractions reciprocal.
So ifnwenhave b/c and divide it by x/y we can also say b/c multiplied by y/x. it isnthensame thing.
now to use this for your problem.
5/31 divided by 15/23
or
5/31 times 23/15
all we have to do is multiple the 2 numerator and denominator and get:
115/465
now to reduce. divide both by 5 first
23/91
both numbers are prime so that would be answer
Using linear function concepts, the meaning of the y-intercept of Ivania's position is given by:
Ivania begins the race 6 meters behind Javier.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Ivania's equation is given by:
y = 9x - 6.
The y-intercept is of -6, which is her relative position, given by:
Ivania begins the race 6 meters behind Javier.
More can be learned about linear function concepts at brainly.com/question/24808124
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