Answer: the original price of the shorts was $25
Step-by-step explanation:
Let x represent the original price of the shorts.
The store is having a sale in which all items are reduced by 20%. This means that the amount of discount on the shorts is
20/100 × x = 0.2x
The price of the shorts would be
x - 0.2x = 0.8x
If the sales tax is 5%, then the amount of sales tax charged is
5/100 × 0.8x = 0.04x
The final cost of the shorts would be
0.8x + 0.04x = 0.84x
Including tax, Jennifer paid $21 for a pair of shorts. This means that
0.84x = 21
x = 21/0.84
x = 25
Hey There!
Lets Just Work through your answers,
ⓧ A - An isosceles triangle is a triangle with (at least) two equal sides, so this would not apply to the given triangle.
:) B - A scalene triangle is a triangle in which all three sides have different lengths so this applies to the given triangle. One side measures 10, one measures 11, and one measures 12.1
ⓧ C - A right triangle is a type of triangle that has one angle that measures 90 degrees, which this triangle does not so this does not apply.
ⓧ D - In geometry, an equilateral triangle is a triangle in which all three sides are equal, so this does not apply to the given triangle.
ⓧ E - An obtuse triangle is a triangle with one obtuse angle (greater than 90°) and two acute angles, so this does not apply to the given triangle.
:) F - An acute triangle (or acute-angled triangle) is a triangle with three acute angles less than 90 degrees. So this applies to the given triangle.
In Summary, B & F classify the given triangle correctly.
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Hope I helped, Have a good day.
Answer: Lesser = 19, Greater = 21
See picture reply.
The value of the angle m∠4 is 105 degrees.
<h3>How to find angles in a quadrilateral?</h3>
The sum of angles in a quadrilateral is 360 degrees.
Therefore,
m∠1 + m∠2 + m∠3 + m∠4 = 360°
Hence,
x + x + 10 + x + 20 + x + 30 = 360
4x + 60 = 360
4x = 360 - 60
4x = 300
x = 360 / 4
x = 75
Therefore,
m∠4 = 75 + 30 = 105°
learn more on quadrilaterals here: brainly.com/question/17178852
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Since the exponent is negative, you move the decimal (2.0) to the left two spots leaving you with .02
