Answer:
7 & 13
Step-by-step explanation:
Let the first number be x
2nd number = 8 less than 3 times the other
2nd number = 3x - 8
Their sum = 20
X + 3x - 8 = 20
4x -8 = 20
Collect like terms
4x = 20+8
4x = 28
Divide both sides by 4
4x/4 = 28/4
X = 7
First number = 7
2nd number = 3x - 8
= 3(7) - 8
= 21 -8
= 13.
Therefore the numbers are 7 and 13
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Answer:
FG=30
Step-by-step explanation:
Since we know that Point G is on the Segment FH, it doesn't really matter where G is, but we can know for certain that:

We are given that FH is 4x, GH is x, and FG is 2x+10. Substitute:

Solve for x. On the right, combine like terms:

Subtract 3x from both sides:

So, the value of x is 10.
To find the value of FG, substitute 10 into its x:

Multiply:

Add:

And we're done!
9514 1404 393
Answer:
Step-by-step explanation:
A regular nonagon has vertices that are 360°/9 = 40° apart. Any rotation by a multiple of 40° will make the figure indistinguishable from the original.
Rotational symmetry of 40° applies.
Rotational symmetry of 200° applies.
Answer:
C
Step-by-step explanation:
Rate of change is the slope
Function A:
Slope = change in y/Change in x
= (9-3)/(3-0) = 6/3 = 2
Function B:
Clearly the slope is 3
(y = mx + c, m is the slope)
Rate of change of B is more than A
Answer:
y = 2x + 1
Step-by-step explanation:
From the table attached,
x y Difference ![[d=(y_2-y_1)]](https://tex.z-dn.net/?f=%5Bd%3D%28y_2-y_1%29%5D)
-1 -1 -
0 1 1 - (-1) = 2
1 3 3 - 1 = 2
2 5 5 - 3 = 2
Since,there is a common difference 'd' = 2
Therefore, this table represents a linear equation.
Let the equation is,
y = mx + b
where 'm' is the slope and 'b' is the y-intercept.
Two points lying on the linear equation are (-1, -1) and (0, 1)
Slope 'm' = 
m = 
m = 2
And y-intercept 'b' = 1 unit
Therefore, equation of the line will be,
y = 2x + 1