Answer:
<h2>x = 20</h2><h2 />
Step-by-step explanation:
∠VRW and ∠TRS form a pair of vertical angles then they are congruent
therefore
3x = x + 40
⇔
2x = 40
⇔
x = 20
Answer:
- premium: 165 gallons
- water: 120 gallons
Step-by-step explanation:
Let 'a' represent the amount of 95% antifreeze in the mix. Then the amount of water is (285 -a). The mix has this amount of antifreeze in it:
0.95a +0(285 -a) = 0.55(285)
a = 0.55/0.95(285) = 165 . . . gallons of 95%
285 -a = 285 -165 = 120 . . . . gallons of water
There are 120 gallons of water and 165 gallons of premium antifreeze in the mixture.
Answer:n = 10 can make the inequality true
Step-by-step explanation:
The given inequality is
120 greater than or equal to 10n + 20. This means that the least value of n that would make the inequality true would be 10.
If we substitute n = 10 into the right hand side of the given inequality, it would result to 120.
So n = 10 can make the inequality true.
Answer:
D, (-6,-2)
Step-by-step explanation:
the first quadrant of a coordinate plane has the x coordinate being a negative number, and the y coordinate being a positive number
the second quadrant of a coordinate plane has the x and y coordinates being a positive number
the third quadrant of a coordinate plane has the x and y coordinates being a negative number
the fourth quadrant of a coordinate plane has the x coordinate being a positive number, and the y coordinate being a negative number
i have attached a graph showing the quadrants for a visual point of view
Answer:
First option.
Step-by-step explanation:
In this case you need to remember that an angle formed by two intersecting chords is equal to the sum of the intercepted arcs divided by 2. This is:

You can identify in the figure that the angle ∠1 is an angle formed by two intersecting chords. Therefore, since the intercepted arcs are SP and QR, you can say the following:

You can observe that this matches with the first option.