Answer:
x = 7
Step-by-step explanation:
I think there may be other ways to do this ... but this is one I guess....
one angle= 90 ( given)
the other = 45 (given)
the third = 90 + 45 + a = 180
(all angles of triangles is 180 [angle sum property])
a = 180 - 135
= 45
The base angles are equal so that means it is a isoscles triangle. In isoscles triangle, two sides are equal , so
if one side is 7
the x is 7 too
(as it cant be the hypothenus)
I think this is right
19.- 20dollars/year
20.-the date is a linear function because it has a constant rate of change
21.-2x+4y=48
22.-x=24
23.-y=12
25.- the x intercept indicates the amount of hotdogs that you can buy when you do not buy any hamburgers
26.- the y intercept indicates the amount of burgers you can buy when x=0
Answer:
15 games
Step-by-step explanation:
12X3=36 5X3=15
How did you get that as an answer ?
Notice that
(1 + <em>x</em>)(1 + <em>y</em>) = 1 + <em>x</em> + <em>y</em> + <em>x y</em>
So we can add 1 to both sides of both equations, and we use the property above to get
<em>a</em> + <em>b</em> + <em>a b</em> = 76 ==> (1 + <em>a</em>)(1 + <em>b</em>) = 77
and
<em>c</em> + <em>d</em> + <em>c d</em> = 54 ==> (1 + <em>c</em>)(1 + <em>d</em>) = 55
Now, 77 = 7*11 and 55 = 5*11, so we get
<em>a</em> + 1 = 7 ==> <em>a</em> = 6
<em>b</em> + 1 = 11 ==> <em>b</em> = 10
(or the other way around, since the given relations are symmetric)
and
<em>c</em> + 1 = 5 ==> <em>c</em> = 4
<em>d</em> + 1 = 11 ==> <em>d</em> = 10
Now substitute these values into the desired quantity:
(<em>a</em> + <em>b</em> + <em>c</em> + <em>d</em>) <em>a</em> <em>b</em> <em>c</em> <em>d</em> = 72,000
