All others did not satisfy the inequality simultaneously except #4 and #6
For #4:
2 < 5(1) + 2 i.e. 2 < 7 (true)
2 >= 1/2(1) + 1 i.e. 2 >= 3/2 (true)
For #6
2 < 5(2) + 2 i.e. 2 < 12 (true)
2 >= 1/2(2) + 1 i.e. 2 >= 2
25/45=(5∗5)/(5∗9)=5/9
5/9 is the answer.
The given statement is false because it isn't an empty set!
<u>Step-by-step explanation:</u>
We have following sets of inequalities:
From 
we get ,
Therefore solution set is x=2.
Now, for 
we get ,
Therefore solution set is x>2.
For 
we get ,
Therefore solution set is x<2.
Now, the union of x=2, x<2 & x>2 is -∞<x<∞. i.e. all possible values of x. And so above statement is false because it isn't an empty set!
Answer:
He used about 15 gallons
Step-by-step explanation: if he drove 617.3 miles and he gets 41 miles per gallon, then we can use the formula 41x=617.3 to solve this formula, we would divide 617.3 by 41 to isolate x. 617.3 divided by 41 is equal to 15 and therefore x = 15
answer:
x = 29
y = 29
z = 61
step-by-step explanation:
all angles in a triangle must equal 180 degrees.
we were already given the angle degree of 61 degrees so we must include that in our formula to determine the degree of y.
the line in the middle already gives us two more angles because they both are 90 degrees for being a perfect quarter turn.
so to figure out y,
we must add 61+90 and then subtract the sum of that from 180.
so, 61+90 = 150 and 180-151 = 29
therefore,
we can conclude that y = 29
now, to determine the degrees of x and z we do the same thing.
we already know one angle equals 90 degrees.
180-90 = 90
that concludes that x and z must have a sum of 90.
if we use our choices,
39+61 = 100 (no)
39+29 = 68 (no)
29+61 = 90 (CORRECT)
29+29 = 28 (no)
<em>therefore, x = 29 and z = 61</em>
<em></em>
<em>so, in total :</em>
<em>x = 29</em>
<em>y = 29</em>
<em>z = 61</em>
<em></em>
<em>hope this helps :)
</em>
<em>-audrey <3
</em>
