Answer:
6
Step-by-step explanation:
first, set up the equation
4x+7 = x+25
solve for x:
4x = x + 18
3x = 18
x = 6
have a wonderful day! :)
Answer:
9/2
Step-by-step explanation:
A Rational Number can be made by dividing two integers. (An integer is a number with no fractional part.) So therefore, 9/2 is a rational number
From the given table, the points can be written as : (6,7.55) , (12,7.85), (18, 8.15) and (24, 8.45)
Slope 
m = 
m = 0.05
slope intercept form of line = 
We plug m = 0.05, x = 6 and y = 7.55 and find c.
c= 7.25
Required equation: 
... Answer
1. To solve for x, you can see that nearby C and D, the two angles are equal. We can ,therefore, make an equation and solve it:
5x - 29 = 3x + 19
- 3x
2x - 29 = 19
+ 29
2x = 48
÷ 2
x = 24
2. So for this part you would substitute the value of x and then minus that angle from 180:
3 × 24 = 72
72 + 7 = 79°
180 - 79 = 101° = ∠1
3. 180 = 101 = 79° = ∠2
4. 180 - 79 = 101° = ∠3
5. Angle 4 is equal to angle 3 because there is an alternate angle (z angle) so 101° = ∠4
6. 180 - 101 = 79° = ∠5
7. 180 - 101 = 79° = ∠6
8. To find angle 7, you have to substitute in x again, so:
5 × 24 = 120
120 - 29 = 91
180 - 91 = 89° = ∠7
9. Angle 8 is the same as angle 7 because they are opposite angles, so 89° = ∠8
10. Angles 2 and 3 are supplementary, which means they add up to 180°.
I hope this helps! :)
