Answer:
x = 20°
Step-by-step explanation:
by angle sum property of triangle
30 + 130 + x = 180
x = 180 - 160
<h2>x = 20°</h2>
Answer:
y=50x+0
Step-by-step explanation:
y=mx+b is y-intercept form
I will make x= hours and y= distance (miles)
every 1 you add to x has to represent 50 miles
for the y intercept, it was unspecified so I assumed 0
Hope this helps :)
So here are the solutions to your given questions above:
For question 1:
Based on the given values, let us try to expand it.
And the result would be -2x-6 = -2x-6.
This makes the solution would be all real numbers. When we say the solution is all real numbers, i<span>solate the x term by subtracting x from both sides and you end up getting "2=2", which makes it a true statement, and therefore, the solution of the equation is all real numbers.
For question 2:
Since the equation is already given and x represents the number of people who joined the site that month, let us solve for x.
</span><span>x = 0.8x + 72
x - 0.8x = 72
0.2x = 72
x = 72/0.2 = 360
</span>The number of people who became a member of that month is 360 in total.
Since 80% of it are ages 30 to 40 years old, we are going to find 80% of 360 and that would be 288. So the answer is the second option.
Greatest value of xy
x + 2y = 30, x = 30 - 2y
xy = (30-2y)y = 30y-2y^2
so if -2y^2+30y = 100, then we can take out a (-2), so: y^2-15y=-50, y^2-15y+50=0
(y-5)(y-10)=0
y-5=0, y=5
y-10=0, y=10
Now we can "plug n play": plug each into x = 30-2y
x = 30-2(5) = 30-10 = 20
x = 30-2(10) = 30-20 = 10
So if we make x=20, y=5... xy = 100
And if x=10, y=10... xy = 100
Now we need to try other number variations to see if they can make xy > 100
if y=6, then x = 30-2 (6) = 30-12 = 18
xy = (18)(6) = 108. Ooh! there's a better choice, but let's keep going
if y=7, then x = 30-2(7) = 16, xy = 7*16 = 112
Even higher! But let's check others
If y=8, then x = 30-16=14, so xy = 112
But from here, the higher y gets the product of xy starts to decrease again
So the greatest possible value comes from 7*16 and 8*14, in which x*y was the maximum it could be at 112
Answer:
93
Step-by-step explanation:
0.20*365=73
73+20=93