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zubka84 [21]
3 years ago
8

Suppose that m∠C = m∠F. Which other fact would guarantee that the triangles are SIMILAR

Mathematics
1 answer:
nikitadnepr [17]3 years ago
7 0
Properties of Similar Triangles

Please refer to the figure attached.

<span>Corresponding angles are congruent (same measure) So in the figure above, the angle P=P', Q=Q', and R=R'.
<span>
Corresponding sides are all in the same proportion. Above, PQ is twice the length of P'Q'. Therefore, the other pairs of sides are also in that proportion.</span></span>

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You can represent an odd integer whith the expression 2n+1, where n is any integer . Write and solve an equation to find three c
oksian1 [2.3K]
Any odd number can be expressed by 2n+1.

For example,  

2n+1=111
2n=110
n=110/2=55

means that 111 is 2n+1 for n=55


Thus if an odd number is 2a+1, the next few numbers are as follows:

2a+1, 2a+2, 2a+3, 2a+4, 2a+5

So 2a+1, 2a+3 and 2a+5 are 3 consecutive odd numbers.


Back to our problem: 

three consecutive odd numbers whose sum is 63 are:

(2n+1)+(2n+3)+(2n+5)=63

6n+9=63

6n=63-9=54

n=54/6=9


2n+1=2*9+1=18+1=19, the 2 next odd numbers are 21 and 23


Answer: 19, 21, 23



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Step-by-step explanation:

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