Answer:
a=21
AB=23.9
BC=19.5
CD=(23.9)
AD=19.5
Step-by-step explanation:
Each pair of parallel sides are equal in a parallelogram. Sense both pairs use the same variable we can just choose the easiest to solve which would be:
a-1.5=19.5
add 1.5 to both sides
a=21
now substitute 21 in for a in each equation.
AB=CD so
AB=23.9
BC=AD so
BC=19.5
CD=(21)+2.9 so
CD=(23.9)
AD is given so
AD=19.5
Answer:
y=2x-19
Step-by-step explanation:
I'm guessing you mean slope intercept form y=mx+b
If so, first you would have to find the slope of the line
To do that, use the formula y2-y1/x2-x1
Remember you can pick any coordinate pair for this
I will pick 1=y2 -5=y1 10=x2 and 7=x1
When I put that in the equation I get 1-(-5)/10-7
Overall I get 6/3, or 2
Now to find the y intercept, you plug in the slope and one of the coordinates(any is fine)
I will pick (10,1)
1=y and 10=x and 2=m
1=2(10)+b
this simplifies to 1=20+b
now subtract 20 from both sides and get -19 = b
Now you have your equation y=2x-19
7.2>0.9(n+8.6)
multiply 0.9 by all in parentheses
7.2> (0.9*n) + (0.9*8.6)
7.2> 0.9n + 7.74
subtract 7.74 from both sides
-0.54> 0.9n
divide both sides by 0.9
-0.6> n
ANSWER: -0.6> n
Hope this helps! :)
The probability that his number will be 4 is one in eleven, or 1/11.