Answer:
x
≤
2
Explanation:
As with equations, there may be instances in which there is no solution to an inequality. Isolate the absolute value by subtracting 9 from both sides of the inequality. The absolute value of a quantity can never be a negative number, so there is no solution to the inequality.
The angles all form vertical angles. The ones labeled are vertical to each other and the ones not labeled are vertical to each other. Vertical angles are congruent, therefore, 2x + 50 = 7x. Solving for x you get 50 = 5x and x = 10. That means that that set of vertical angles each have a measure of 70. That's 140 so far. Around the "circle" created by those angles is a total degree measure of 360. So 360 - 140 = 220. Divide that in half to get the measure of angle BED and its vertical angle AEC. So your angle measure, BED is 110.
Answer:
Step-by-step explanation:
The 20% discount amounted to ...
0.20 × $42.00 = $8.40
so the price before tax was ...
$42.00 -8.40 = $33.60
The tax amount is 3% of this value, so is ...
0.03 × $33.60 = $1.008 ≈ $1.01
So the total price paid for the shirt was ...
$33.60 +1.01 = $34.61
Randy paid $34.61 for the shirt after discount and tax.
___
<em>Alternate solution</em>
You can realize that the 20% discount means that Randy will pay 80% of the original price of the shirt. Similarly, the 3% added tax means Randy will finally pay 103% of the discounted price. Then the total price Randy pays is ...
$42.00×0.80×1.03 = $34.608 ≈ $34.61
