|x| + 9 ≤ <span>7
</span>
Add -9 from each side
<span><span>|x| + 9 </span>+ <span>−9 </span></span>≤ <span>7 + <span>−9
</span></span><span>|x| </span>≤ <span>−<span>2
</span></span>
Now solve the absolute value
(You can't because the absolute value would end up less than 0 and it's not possible for that to happen)
No Solution
Answer and Step-by-step explanation:
We see that the bottom two lines are parallel, which makes angle x and angle 5 "same-side corresponding angles". By definition, same-side corresponding angles are congruent. That means angle x = angle 5.
Note that you didn't provide any measures, so it is impossible to actually figure out an exact degree. However, angle x is the same degree as angle 5.
Hope this helps!
Teacher will have 3 bottles of glue after he combines
<em><u>Solution:</u></em>
Given that,
The art teacher has 7 bottles of glue that are each 2/5 full
He combines them so he will have fewer bottles
<em><u>To find: bottles of glue does he have after he combines them</u></em>
From given,
Total bottles = 7
Each is 2/5 full
Therefore, multiply 7 with 2/5 to get total bottles of glues he will have after combining

Thus teacher will have 3 bottles of glue after he combines
Answer:
(a) = 11 cm
Step-by-step explanation:
The formula for finding the surface area of a regular pyramid is B + (1/2*P*l), with B being the area of the base, p being the perimeter of the base, and l being the slant of the pyramid.
The area of a pentagon can be solved using the formula 1/2*a*p, with a being the apothem and p being the perimeter of the pentagon.
- B + (1/2*80*15) = 1040
- B + 600 = 1040
- 1040 - 600 = 440 (440 is the area of pentagon)
- 1/2*a*(16*5) = 440
- 40*a = 440
- 440/40 = 11
The apothem is 11 cm. Hope this helps!
Answer:
8x
Step-by-step explanation:
Because you are adding the (x+3) there you can immediately you the association property to simplify
(2x + 5x + x) + (3 - 3)
8x + 0 =
8x