Answer:

Step-by-step explanation:
Given

Required
Simplify
Rewrite as:

Take LCM

Apply law of indices

Answer:
x < -10.5
Step-by-step explanation:
list the integers that satisfy both these inequalities, 2x+9 <-12
Subtract 9 from both sides;
2x +9 - 9 < -12-9
2x < -21
x < -21/2
x < -10.5
<em>Hence all the integers are values of x less than 10.5</em>
<em></em>
Answer: 5, 8
<u>Step-by-step explanation:</u>
The difference between 3 times a number and -8 is BETWEEN 23 and 32
Note: "difference" means subtraction --> 3x - (-8) --> 3x + 8
23 < 3x + 8 < 32
15 < 3x < 24 <em> subtracted 8 from all 3 sides</em>
--> 5 < x < 8 <em>divided 3 from all 3 sides</em>
Answer:
Add the two angles: 43° + 47° = 90°.
Step-by-step explanation:
A right triangle has an angle that equals 90°. Complementary angles equal 90°. Therefore, if you add these two angles, you will know whether or not △ABC is a right triangle. Triangle △ABC is broken up into two angles, m∠ABD and m∠DBC. When the measures m∠ABD and m∠DBC are added together, they equal 90°, and thus, form a complementary angle.
Hope this helps,
♥<em>A.W.E.</em><u><em>S.W.A.N.</em></u>♥
Answer: he will make $2784 in 60 days