<em>Answer</em><em> </em><em>with</em><em> </em><em>explanation</em><em>:</em>
The Given Inequality is
|x-4|<9
Modulus of a number yields always a positive value.
→|x-4|= x-4, when, x-4≥0
That is , x≥4.
= -(x-4), when, x-4<0
means, x<4.
it can be Written as
→ -9<x-4<9
→ -9+4 < x -4+4 < 9+4
→ -5<x<13
→x∈(-5,13)
♡ <em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>♡</em>
Only the third model shows parallel lines cut by a transversal.
We can solve this problem by using some properties that parallel lines cut by a transversal have. First of all, corresponding angles are congruent, and since the angles in figure 1 are corresponding but not congruent, that means that figure one is out.
In addition, in figure two, alternate exterior and interior angles of parallel lines intersected by a transversal are congruent, so since they are not in the picture, that means that this figure is also out.
Figure three is correct because since those are same side interior angles, they need to be supplementary for those to be two parallel lines intersected by a transversal. Since they do, in fact, add up to 180°, that means that the answer is figure three.
Answer:
i think it is b or d im not for sure though
Step-by-step explanation:
Answer:
$243.
Step-by-step explanation:
We can use algebra here.
Let x = the original price.
Then 1/3 x - 27 = 54
1/3x = 54 + 27 = 81
x = 81 / 1/3
x = 81 * 3
x = $243 (answer).
STEP 1:
find the sales tax (decimal form)
x= sales tax
Cost + (Cost * Sales Tax)= Total
plug in known numbers
$9.40 + ($9.40 * x)= $9.87
9.40 + 9.40x= 9.87
subtract 9.40 from both sides
9.40x= 0.47
divide both sides by 9.40
x= 0.47/9.40
x= 0.05 sales tax decimal form
STEP 2:
find sales tax percentage
= 0.05 * 100
or move decimal to the right two decimal places
= 5% sales tax percent form
ANSWER: The sales tax is 5% (or 0.05 in decimal form)
Hope this helps! :)
