What additional information do you need to prove that ∆LMO ≅ ∆LNO by the HL Theorem? ∠NLO ≅ ∠MLO ∠MOL ≅ ∠NOL
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The triangles ΔLNO and ΔLMO have the same leg Lo, therefore you need the equality of hypotenuses LM=LN.
For a better understanding of the solution given here please find the diagram in the file attached.
We know from the Hypotenuse Leg Theorem (the HL theorem) that "if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent."
Thus, as can be seen from the diagram, Side LO (also called leg LO) is common to both the triangles LMO and LNO. Therefore, the additional information that will be required to prove the congruence is that the respective hypotenuses, MO and NO are equal.
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What is 9.39 to one decimal place
Simply the equation and show your work
Solve for x.4 + 2x = 10
Two black chips and three red chips are put into a bag. Two points are awarded for each black chip drawn, and one point is lost for each red chip drawn. What is the expected value for each round if there are two draws per round and the chips are replaced after each draw?
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I hope I helped! =D
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Answer
c. buying it at a 10 percent discount without sales tax.
Explanation
We are going to compare the 3 choices and then determine the most cost effective.
a. using a paid membership card to buy it at a 10 percent discount.
10% of $100 = 10/100×100 = $10
cost = $100 - $10 = $90
On top of this $90 there is the charges of the membership card.
b. buying it online at a 10 percent discount with a $5 shipping charge.
100%-10% = 90%
90% of 100 = $90
Cost: $90 + $5 = $95
c. buying it at a 10 percent discount without sales tax.
100% - 10% = 90%
90/100 × 100 = $90. This is the must cost effective method since there is no other cost involved.
With this option, you can get a clear $ 10 cut which is higher compared to the other options
hope this helps
Answers
Answer:
-54
Step-by-step explanation:
100 square rooted is 10. 10*-6 is -60.
36 square rooted is 6.
-60+6=-54
B) difference
C) product
D) quotient
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The answer to the problem 5 x (4 + 1) is called a C) product.
Given is an expression 5 x (4+1), we need to tell which mathematical operation dose it shows.
In mathematics, the term "product" refers to the result obtained when two or more numbers are multiplied together.
In this case, the numbers involved are 5 and (4 + 1). The expression (4 + 1) is first evaluated inside the parentheses, which results in 5.
Then, the multiplication is performed: 5 x 5 = 25.
So, the correct answer is C) product.
Learn more about multiplication click;
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b) divide 10,200 by 100 = 102
c) Add 680 + 102 = £782
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Answer:
Step-by-step explanation:
We have been given a word phrase. We are asked to write an equation and solve for 'a'.
Eight times the number 'a' would be .
Ten plus eight times a number 'a' would be .
Eleven times another 'd' would be .
Eleven times another 'd' minus six would be .
Equate both expression:
Therefore, the value of 'a' is .