Answer:
x=1, y=-1. (1, -1).
Step-by-step explanation:
2x+y=1
3x-y=4
-------------
y=3x-4
2x+3x-4=1
5x-4=1
5x=1+4
5x=5
x=5/5
x=1
y=3(1)-4=3-4=-1
Answer:
The quotient of any two numbers can be written as:
A/B
such that:
A, B ∈ {R}
Where {R} is the set of all real numbers.
But we also have the restriction that the denominator, B in this case, must be different than zero.
So we can define the set:
{R \ {0}}
As the set of all the real numbers minus the element 0.
So in this set we do not have the number zero, so now we can write our expression as:
A/B
A ∈ {R}, B ∈ {R \ {0}}
Whoever scored 72 shots out of 150. Did, In fact, score 48% of their shots.
Solution:
*To calculate the percentage represented by a ratio simply divide the numerator by the denominator and multiply by 100.
72:150 (72/150)
72/150
= 0.48
0.48(100) = 48
... 48%
Answer:
8. ∠1=118° ∠2=118°
9. ∠1=72° ∠2=108°
10. ∠1=127° ∠2=127°
Step-by-step explanation:
8. In this problem, 118° is corresponding to ∠1, meaning they are congruent. ∠2 is supplementary with ∠1, meaning that together, they equal 180°. So, to get ∠2, you must subtract 118° from 180°
9. In this problem, 72° is same side interior with ∠1, meaning they are congruent. ∠2 is supplementary with ∠1, so you do 180°-72°= 108°
10. In this problem, ∠1 is vertical angles with 127°, making them equal to each other. ∠2 is corresponding with 127°, making them also equal.
Answer:
b
Step-by-step explanation:
A proportional relationship is a straight line. Is must also go through the point (0,0)