Answer:
Su=10
Explaination:
So from s to u on the nunebr line is worth 2x-12. So what is s to u worth? Well. S to t on the number line = x-7. T to u =6. And 2 x is worth 12 more than s to u, using th e expression. X has to be at least 8 because otherwise the x-7 wouldn't work, and u might get s to u = 0 or a negative number.
Say x was 13, then 13 - 7 =6. So S to t =6. And r to u =6. So s to u =12. (6+6). Then check if the expression fits this answer of 12. 2x - 12. 2x = 26. 26-12=14, which doesn't match.
Let's try 14. 14-7=7. Then s to u = 7+6=13. The expression: 2x= 28. 28-12=16. 13 and 16 dont match. So we have got further away from what we need. Why don't we try going in the opposite direction. Rather than testing 13 and +1, let's now - 1 and try 12.
If x=12, then s to t =12-7=5. And s to u =6+5=11. The expression: 2x=24.-12=12. We are very close now with 11 and 12.
Lets test x=11!
S to t = 11-7=4. 4+6=10. So s to u =10.
2x=22. 22-12=10. So the expression works and the number line measurements.
The answer is su=10 and x=11.
Answer:

Step-by-step explanation:
Given inequality:

In order to represent the solution on the number line, we will first solve the given inequality.
We have

Subtracting both sides by 4.


Dividing both sides by -3.
[On dividing both sides by a negative number the sign of the inequality reverses.]

So, solution of this inequality will range from -3 to -∞
The number line is represented below.
Answer:
AD is congruent to RS
Step-by-step explanation:
we know that
If two figures are congruent, then its corresponding sides and its corresponding angles are congruent
In this problem
If
ABCD≅PQRS
then
<em>Corresponding angles</em>
∠A≅∠P
∠B≅∠Q
∠C≅∠R
∠D≅∠S
<em>Corresponding sides</em>
AB≅PQ
BC≅QR
CD≅RS
AD≅PS
Answer:
approx 15%
Step-by-step explanation:
Allison puts $250 down and following that she makes 12 monthly payments of $124.49. The sum of her payments (total cost) is thus $250 + (124.49/month)(12 months) = $1743.88
The total interest she pays is $1743.88 - ($124.49/month)(12 months), or
$250
We use the simple interest formula: i = prt, where t is the number of years, and r is the interest rate as a decimal fraction:
$250 = $1599.99*r*1.
$250
Solving this for r by division, we get r = --------------- = 0.1463, or approx 15%
$1599.99