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N76 [4]
3 years ago
6

Which statement proves that the diagonals of square PQRS are perpendicular bisectors of each other? The length of SP, PQ, RQ, an

d SR are each 5. The slope of SP and RQ is and the slope of SR and PQ is . The length of SQ and RP are both . The midpoint of both diagonals is , the slope of RP is 7, and the slope of SQ is .
Mathematics
2 answers:
MatroZZZ [7]3 years ago
8 0

Answer: the correct answer is letter D, I just took the test and got it right on edg

pochemuha3 years ago
6 0

Answer:

Step-by-step explanation:

Given is a square PQRS.  Its diagonals are PR and QS.

To prove that PR is perpendicular to QS

We have been given as

SP = PQ =RQ =SR =5.

Using Pythagorean theorem we have

both diagonals will equal

5\sqrt2

If P is the origin, (say) then coordinates of vertices would be (0,0) (5,0) (5,5) and (0,5)

Mid point would be (2.5,2.5) for both

Slope of RP = change in y coordinate/change in x coordinate

= 1

Slope of QS = 5/-5 = -1

Product of the two slopes = -1

Hence the two diagonals are perpendicular

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konstantin123 [22]
To figure this out you can do 7.2/8.2, because you are trying to figure out how much of the total was used, and percentages would not be more than 100%. Doing this you would get ~.878. To convert this to a percent, you would just multiply it by 100, which would give you 87.8%. The question states to round to the nearest whole percent, leaving you with 88%. This means that 88% of the revenue was spent.

Hope that helped, don't be shy to comment on this if you have any questions about my explanation :)
8 0
3 years ago
An online retailer collects 7% sales tax. If the sub total of the purchase is $76.00, then how much is collected for sales tax?​
jok3333 [9.3K]

The collected tax on purchase of $76.00 is $5.32

Further explanation:

The sales tax is calculated on the total sales by the formula

Tax = total * \frac{7}{100}

Given

Total purchase = $76.00

Percentage of tax = 7%

So,

Putting the values in the formula

Tax\ amount = 76.00 * \frac{7}{100}\\= 5.32

So, the collected tax on purchase of $76.00 is $5.32

Keywords: Tax, tax calculation

Learn more about tax calculation at:

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3 0
3 years ago
A line segment connecting any two opposite Vertex of a quadrilateral​
Wewaii [24]

Answer:

As applied to a polygon, a diagonal is a line segment joining any two non-consecutive vertices. Therefore, a quadrilateral has two diagonals, joining opposite pairs of vertices. For any convex polygon, all the diagonals are inside the polygon, but for re-entrant polygons, some diagonals are outside of the polygon.

Step-by-step explanation:

5 0
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lilavasa [31]

Answer:

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Step-by-step explanation:

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Values of a and b?

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Hence, writing the expression in the form: a. 10

a. 10 = 3 × 10000

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egoroff_w [7]

Answer:100 chocolates

Step-by-step explanation:

20 chocolate in each box so 20 time 5 is 100 so 20 time 11 is 220

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