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Alisiya [41]
3 years ago
9

The next three terms in the pattern 1, 10, 19, 28, 37 are

Mathematics
2 answers:
konstantin123 [22]3 years ago
8 0
46, 55, 64. It adds by 9 everytime.
Grace [21]3 years ago
7 0
1,10,19,28,37,?,?,?
To find the next three terms, we need to find the patterns in this sequence. In this case, we see that the first number add 9 to get the second number, the second number add 9 to get the third number, and so on. Now, we can create the formula for this which is n+9 where n is the number before the next number. Here we go:
1
1+9=10
10+9=19
19+9=28
28+9=37
37+9=46
46+9=55
55+9=64. As a result, the next three terms in the pattern 1, 10, 19, 28, 37 are 46,55,64. Hope it help!
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Answer:

3) Option C is correct.

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Step-by-step explanation:

Triangle BDE is dilated by a scale factor of 2 to obtain triangle BAC.

Dilation by a scale factor of 2 means that all the sides of triangle BAC are twice as much as the corresponding sides of triangle BDE.

And triangle BDE is similar to triangle BAC.

It also means that the corresponding angles are necessarily equal.

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ED = 3.61

BA = 2 × BD = 2 × 2 = 4

BC = 2 × BE = 2 × 3 = 6

CA = 2 × ED = 2 × 3.61 = 7.22

Cos ∠D according to trigonometric relations is given as (adj/hyp)

Adj = Adjacent side = BE = 3

Hyp = hypotenuse side = ED = 3.61

Cos ∠D = (3/3.61)

Cos ∠A can also be similarly obtained from trigonometric relations as (adj/hyp)

Adj = Adjacent side = BC = 6

Hyp = hypotenuse side = CA = 7.22

Cos ∠A = (6/7.22)

Since the two angles are corresponding angles of two similar triangles,

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Cos ∠D = Cos ∠A

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