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hoa [83]
3 years ago
15

Help please

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
7 0
The first term is a(1) = -3
The recursive step is a(n) = a(n-1)+7 meaning "add 7 to each previous term to get the next term". This points us to the common difference d being 7

a1 = -3 
d = 7

an = a1 + d(n-1)
an = -3 + 7(n-1)
an = -3+7n-7
an = 7n-10

Answer: a_{n} = 7n-10 (it says an = 7n-10 if the image doesn't show up)
Note: the n starts at n = 1
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Given ∆ABC with vertices A(−4, −3), B(0, 0), C(2, −3) and ∆DEF with vertices D(3, 1), E(6, -3), F(3, −5), use the definition of
dimaraw [331]

By SSS congruency criteria ΔABC ≅ ΔDEF

<h3>What is congruency?</h3>

Two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

The given vertices of the triangles are;

ΔABC: A(−4, −3), B(0, 0), C(2, −3)

ΔDEF:  D(3, 1), E(6, -3), F(3, −5)

The lengths of the sides of ΔABC are

AB = √((0+4)² + (0+3)²) = √25 = 5

BC = √((2-0)² + (-3 - 0)²) = √13  

AC = √((2+4)² + (-3 +3)²) = √36 = 6

The lengths of the sides of ΔDEF are;

DE = √25=5

EF = √13

DF = √36 = 6

As,

AB= DE, BC = EF , AC= DF

So, By SSS congruency criteria ΔABC ≅ ΔDEF

Learn more about this concept here:

brainly.com/question/6563819

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2 years ago
When an integer is subtracted from 5 times the next consecutive integer, the difference is 17. Find the value of the greater int
Mars2501 [29]

Answer:

4

Step-by-step explanation:

5(x + 1) -x = 17  Distribute the 5

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x = 3  

Three is the smaller integer and 4 is the greater integer.

5 0
1 year ago
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