Answer:
x=12 and y=31
Step-by-step explanation:
First, ( 5x - 7 ) and ( 3x + 17 ) are alternate interior angles, which means they are congruent, or equal:
5x - 7 = 3x + 17
Add 7 to each side:
5x = 3x + 24
Subtract 3x from both sides:
2x = 24
Divide each side by 2:
x = 12
Now we can see that ( 5x - 7 ) and ( 4y + 3 ) are supplementary angles, which means they will add up to 180 degrees:
5x - 7 + 4y + 3 = 180
Substitute 12 in for x to solve for y:
5 ( 12 ) - 7 + 4y + 3 = 180
60 - 7 + 4y + 3 = 180
combine like terms:
( 60 + ( -7 ) + 3 ) + 4y = 180
56 + 4y = 180
Subtract 56 from each side:
4y = 124
Divide each side by 4:
y = 31
Function since its passing the vertical line test
Hey guys it equals 12 alight
A- Veronica —> v=5+2m
Total —> v+m=32
B- since you already know that to get veronica’s number of stuffed animals, you need to use v=5+2m, you need to substitute it in the total equation. So it’ll be:
(5+2m)+m=32
(5+2m) represents veronica’s stuffed animals
m represents Mariposa’s stuffed animals
C- Mariposa —> 9
Veronica —> 23
Answer:
c) -1.75°
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 0, standard deviation of 1:
This means that 
Find the reading that separates the bottom 4% from the others.
This is the 4th percentile, which is X when Z has a p-value of 0.04, so X when Z = -1.75.




The correct answer is given by option c.