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ASHA 777 [7]
4 years ago
13

Identifying Information Necessary for Applying the SSS

Mathematics
1 answer:
Mashcka [7]4 years ago
7 0

Answer:

The value of the proportion between:

\frac{\overline{OR}}{\overline{EF}}=\frac{\overline{RP}}{\overline{FD}}

Step-by-step explanation:

1) According to the criteria of Similarity of two Triangles, they both must share the same proportion on their corresponding sides. Imagining we have two triangles DEF and POR. They must follow this rule:

\frac{\overline{PO}}{\overline{DE}}=\frac{\overline{OR}}{\overline{EF}}=\frac{\overline{RP}}{\overline{FD}}=k

2) The question states that DE=2PO therefore the ratio between PO over DE is \frac{1}{2}

Therefore we can say that

\frac{\overline{PO}}{\overline{DE}}=\frac{1}{2}

However nothing has been informed about the other legs of these two triangles.

3) Unless, the value of

\frac{\overline{PO}}{\overline{DE}}=\frac{\overline{OR}}{\overline{EF}}=\frac{\overline{RP}}{\overline{FD}}=\frac{1}{2}

Anything can be said about the SSS theorem, for these two angles.

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Five times the sum of a number and one is 115. What is the number? Use x as your variable.
ollegr [7]
The initial equation is:
5(x+1)=115

Let's transform it for x:
5x+5=115

... distract 5:
5x=110

... divide both sides by 5:
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Answer:

x=151/64   y=9/8 z=-51/32

Step-by-step explanation:

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3y+4z=-3

2x+2y+5z- (2x+4y-3z)=-1-14

-2y+8z=-15

We have two equations 3y+4z=-3 and -2y+8z=-15 (We get it due to elimination method)

3y+4z=-3 (2)

-2y+8z=-15 (-3)

6y+8z=-6

6y-24z=45

(6y+8z)- (6y-24z)= -6-45

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3y= -96/32+204/32

3y=108/32

y=36/32=9/8

2x+2*9/8+5*(-51/32)=-1

2x+9/4-255/32=-1

2x+72/32-255/32=-1

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3 years ago
A $\textit{palindrome}$ is a positive integer which reads the same forward and backward, like $12321$ or $4884$. How many $4$-di
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There are 90 4-digit palindromes

<h3>What are palindromes?</h3>

Palindromes are numbers whose reverse is the same as the original number

<h3>How to determine the count of 4-digit palindromes</h3>

Since the digit is 4, then

  • The first digit of the palindrome can be any of 1 to 9 (i.e. 9 digits)
  • The second digit can be any of 0 - 9 (i.e. 10 digits)
  • The third digit must be the second digit (i.e. 1 digit)
  • The last digit must be the first digit (i.e. 1 digit)

So, the total number of digits is:

n =9 * 10 * 1 * 1

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n =90

Hence, there are 90 4-digit palindromes.

Read more about numbers at:

brainly.com/question/251701

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