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earnstyle [38]
3 years ago
6

Please help... ABCD is a quadrilateral​

Mathematics
1 answer:
IgorC [24]3 years ago
3 0
A ———————————————————
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Look at the figure shown below:
boyakko [2]

These are the steps, with their explanations and conclusions:


1) Draw two triangles: ΔRSP and ΔQSP.


2) Since PS is perpendicular to the segment RQ, ∠ RSP and ∠ QSP are equal to 90° (congruent).


3) Since S is the midpoint of the segment RQ, the two segments RS and SQ are congruent.


4) The segment SP is common to both ΔRSP and Δ QSP.


5) You have shown that the two triangles have two pair of equal sides and their angles included also equal, which is the postulate SAS: triangles are congruent if any pair of corresponding sides and their included angles are equal in both triangles.


Then, now you conclude that, since the two triangles are congruent, every pair of corresponding sides are congruent, and so the segments RP and PQ are congruent, which means that the distance from P to R is the same distance from P to Q, i.e. P is equidistant from points R and Q


6 0
3 years ago
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Which inequality represents the sentence? The difference of seven and two tenths and a number is more than twenty nine. 7. 2 - n
Slav-nsk [51]

The inequality which represent, the difference of seven and two tenths and a number is more than twenty-nine, is

7.2-n > 29

<h3>What is the inequality equation?</h3>

Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.

Inequality is represented with the greater then(<), less then(>) or with the other inequity signs like less than equal to \leq or greater than equal to \geq.

Tenth is written as the fractional part of the number 10. The value of one tenth is equal to 1/10 or 0.1.

The sentence given for the inequality expression is, that the differences of seven and two tenths, and a number is more than twenty-nine.

The number seven and two tenths can be written as,

7\dfrac{2}{10}

Suppose the unknown number is n.  Now, the differences of seven and two tenths, and this number (<em>n</em>) is more than twenty-nine.  The more than word means, the greater than sign for equation. Thus, it can be expressed as,

7\dfrac{2}{10}-n > 29\\\dfrac{72}{10}-n > 29\\7.2-n > 29

Hence, the inequality which represent, the difference of seven and two tenths and a number is more than twenty-nine, is

7.2-n > 29

Learn more about the inequality equation here:

brainly.com/question/17724536

7 0
3 years ago
Debbie has a total cost of $80 for selling 40 fruit baskets. If she earns a revenue of $320 for these, what is her total profit
kirill [66]

Answer:

  $240

Step-by-step explanation:

Debbie's profit is the difference between her revenue and cost:

  profit = revenue - cost

  profit = $320 - 80

  profit = $240

Debbie's total profit is $240.

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3 years ago
WILL MARK BRAINLIST!!!!!<br><br> 4 |a| +8−a if a=−2
andre [41]

Answer:

18

Step-by-step explanation:

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4 years ago
Oliver buys 4 pineapples. Each pineapple is
Ksenya-84 [330]

Answer:

hello

Step-by-step explanation:

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