A student playing a computer chess game gets 5 points every time he wins a round. The computer gets 3 points every time it wins a round. They play 64 rounds and end with a tied score. How many rounds did the computer win?
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Answer:
11
Step-by-step explanation:
Use a calculator. Punch in 5.5, then use the divide symbol (÷) and finally put in 0.5, then you will get 11 as your final answer.
Hope this helps!
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Answer:A
Step-by-step explanation:
To find the measure of angle ABC in triangle ABC, we can use the properties of perpendicular bisectors.
Since the perpendicular bisector of side AB intersects the extension of side AC at point D, we know that AD = DB. Therefore, triangle ABD is an isosceles triangle.
In an isosceles triangle, the angles opposite the equal sides are also equal. So, we have:
∠ABD = ∠ADB
Since ∠CBD = 16° and ∠ACB = 118°, we can find ∠ADB as follows:
∠ADB = 180° - ∠CBD - ∠ACB
= 180° - 16° - 118°
= 46°
Since ∠ABD = ∠ADB, we have:
∠ABD = 46°
Now, we can find ∠ABC:
∠ABC = 180° - ∠ABD - ∠ACB
= 180° - 46° - 118°
= 16°
Therefore, the measure of ∠ABC is 16 degrees. So, the correct answer is A. 16 degrees.
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1 yd=3ft
25 yds= x feet
x= 25*3
feet=75
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Here are two ways to graph it. You can decide which one seems easier to understand or easier to do:
==> Manipulate the equation into the "slope-intercept" form, where 'y' is
all alone on one side and everything else is on the other side:
3x + 2y = 6
Subtract 3x from each side: 2y = -3x + 6
Divide each side by 2 : y = -3/2 x +3
This is the form you want. Just looking at it, it tells you that the slope
of the line on the graph is (-3/2), and it crosses the y-axis at +3 .
That's enough information to draw the line.
===============================================
=> Another way:
Look at the x-axis and the y-axis on the graph paper ... without any graph drawn on it yet. Just look at the 2 axes.
With an 'x'-number and a 'y'-number, you can find any point on it. Right ?
OK. Notice that at every point on the y-axis, x = 0 . And at every point
on the x-axis, y = 0. This can be very very helpful.
Now take your equation: 3x + 2y = 6 .
You know that the graph is going to be a straight line. And it's pretty obvious that if the line isn't horizontal or vertical, then it has to cross both the x-axis and the y-axis somewhere. If you had an easy way to find the two points where it crosses the axes, you could join those 2 points and you'd have your line !
You DO have an easy way to find those points !
If x=0, then the point is on the y-axis. Take your equation, make x=0, and it'll show you where the line crosses the y-axis:
3(0) + 2y = 6 .
2y = 6 .
Divide each side by 2 : y = 3 .
There's one point on the line: (0, 3)
Now remember that if y=0 the point is on the x-axis. So take your equation
and make y=0:
3x + 2(0) = 6
3x = 6
Divide each side by 3 : x = 2
There's another point on the line, where it crosses the x-axis: (2, 0) .
Shazam ! You have the 2 points where the line crosses the x- and
y- axes. Mark each one with a little dot, put your ruler down along
them, draw a line between them, and extend it as far in each direction
as you want to. That's the graph of your equation.
(2,0) x intercept
(0,3) y intercept
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Multiply the square root of 3 by the square root of 2 and itself.
The 3 cancels itself out and then you get A