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padilas [110]
3 years ago
12

The congruence theorem that can be used to prove triangle LON is congruent to triangle LMN is

Mathematics
2 answers:
USPshnik [31]3 years ago
8 0

Answer:  SSS

Step-by-step explanation:

In the given picture we have two triangles \triangle{LON} and \triangle{LMN} in which

\overline{LO}\cong\overline{LM}\ \ \ \text{[Given]}\\\\\overline{ON}\cong\overline{MN}\ \ \ \text{[Given]}\\\\\overline{LN}\cong\overlien{LN}\ \ \ \text{[Reflexive Property]}

Thus by SSS congruence criteria we have,

\triangle{LON}\cong\triangle{LMN}

  • SSS congruence criteria says that if all three sides of a triangle are congruent to the corresponding sides of the other triangle then the triangle are congruent.
OlgaM077 [116]3 years ago
6 0
Sss, because LN=LN (reflexive property)
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Mr. Noel borrowed money from his cousin at a rate of 10% simple interest. After 1 year, $440
Alborosie

Answer:

<h2>$400</h2>

Step-by-step explanation:

Using the formula for calculating the simple interest expressed as;

Simple Interest = Principal * rate * time/100

Note that the principal is the amount he originally borrowed

I = PRT/100 ............ 1

Amount paid off A = Principal+Interest

A = P+I ............ 2

From equation 2; I = A-P......... 3

Substitute equation 3 into 1;

A-P = PRT/100

Given A = $440, R = 10%, Time = 1year

Substitute the given parameters into the resulting equation;

440 - P = P*10*1/100

440-P = 10P/100

440-P = 0.1P

440 = 0.1P+P

440 = 1.1P

Divide through by 1.1;

1.1P/1.1 = 440/1.1

P = $400

<em>Hence the amount Mr Noel originally borrow is $400</em>

5 0
3 years ago
If you rolled two dice what is the probability that you would roll a 4 or a 5
Masja [62]
Hello there! Given that normal dice are numbered 1-6, individually rolling a 4 or a 5 would give a 1/6 probability. That converts to about 17% as a percentage because we can multiply 1 by 100 to get 100/6, then divide 100 by 6 to get 16.6666. When rounding, that gives approximately 17%. However, if we combined probabilities, we would find that rolling a 4 or a 5 collectively gives a 2/6 probability, which is approximately 33% as a decimal.

In terms of individual probabilities, you would be 17% likely to roll one of them. In terms of collectiveness, the likelihood of rolling a 4 or 5 would render 33% on each die. If you need additional help, let me know and I will gladly assist you.
5 0
2 years ago
The discount price of a pair of shoes is $22. what is the original price
Goshia [24]
The original price is $88.
how I got the answer:
$22 • 100= 2,200
2,000/25= $88

regular shoes cost w/75% off is $66.00
how I got my answer:
$88 • 75% = 6,600
6,600/100 = $66.00
7 0
2 years ago
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dedylja [7]
Sydney is 44 years old.
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7 0
3 years ago
Find two conservative integers whose sum is 67
Charra [1.4K]
Answer:I got 33 and 34

Explanation:

Call your integers n and n+1 we get:

n+n+1= 67

rearrange:

2n = 66

n=66/2 = 33

The integers will be 33 and 34
7 0
3 years ago
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