Answer:
x = 20 but see below.
Step-by-step explanation:
Remark.
This is not well enough marked to know whether D = A or whether you have to do some algebra to find the relationship between A and D. So I will assume A = D and then I'll solve it so you have to manipulate A and D.
A = D
3x - 10 = 2x + 10 Add 10 to both sides
3x - 10 + 10 = 2x + 10 + 10 Cancel
3x = 2x + 20 Subtract 2x from both sides
3x-2x=2x-2x + 20
x = 20
A = E
If A = E then to find x you have to add 3 angles together.
E + D + 45 = 180 Add the three angles of the triangle
E + D = 180 - 45 Subtract 45 from both sides
E + D = 135 Substitute for D and E
3x - 10 + 2x + 10 = 135 Combine like terms
5x = 135 Divide by 5
x = 135 / 5
x = 27
Answer
I'd go with the first one.
Answer:
The 2nd term is 3y
Step-by-step explanation:
2x + 3y
__ __
1 2
term term
Answer:
The distance between these two given points is:

Step-by-step explanation:
We are given two points:
(-3,7),(0,4)
<em>The distance between two points (a,b) and (c,d) is given by the distance formula as:</em>
<em>
</em>
similarly we can find the length of a line segment by considering the distance between the end points of the line segment.
So here (a,b)=(-3,7)
and (c,d)=(0,4).
Hence distance between these two points is given by:

Answer:
G). 1.2x + 7.92 -3.3x = 41
-2.1x=33.08
x = 33.08/-2.1
x = - 15.752
H). 3x/2 + 9/5 = 12
Multiply through by 10
15x + 18 =120
15x =120-18
15x = 102
x =102/15
x=34/5
I). 5 = 9/4 - r/3
Multiply through by 12
60= 27 - 4r
60 - 27 = -4r
33 = - 4r
r = -33/4
J). 2(x - 2) = 12
2x - 4 = 12
2x = 16
x = 16/2
x = 8
Step-by-step explanation:
The null hypothesis: The department has determined that there should be 40% A’s given, 40% B’s given and 20% C’s given as final grades for the course
If the p-value for this hypothesis test is = 0.000... and this number is lower than the 0.05 significance level, we reject the null hypothesis and conclude that from the result of our observation that final grades do not match this grading guidelines.
It means the grading guidelines was exceeded in terms of As, was less in terms of Bs and was higher in terms of Cs i e the grading guidelines was not consistent with what was stated in the null.