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KonstantinChe [14]
3 years ago
12

The first term of an arithmetic sequence is –12 and the ninth

Mathematics
1 answer:
shtirl [24]3 years ago
8 0

Answer:

d = \frac{7}{2}

Step-by-step explanation:

The nth term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₉ = 16 , then

- 12 + 8d = 16 ( add 12 to both sides )

8d = 28 ( divide both sides by 8 )

d = \frac{28}{8} = \frac{7}{2}

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Find the values of x, y, and z. The diagram is not to scale.
rosijanka [135]

Answer:

x= 81°, z= 99°, y°=68°

Step-by-step explanation:

considering the part of the triangle where 36° , 63° and x° is located as ΔABC.

to find the measure of x we use angle sum property.

We know that the sum of the angles of a triangle is always 180°. Therefore, if we know the two angles of a triangle, and we need to find its third angle, we use the angle sum property. We add the two known angles and subtract their sum from 180° to get the measure of the third angle.

so,

∠A + ∠B +∠C = 180°

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x° = 180 - 99

x° = 81°

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x° + z° = 180°

81° + z = 180°

z= 180 - 81

z= 99°

considering the next part of the triangle where 13° , z° and y° is located as ΔACD

to find the measure of y we use angle sum property.

∠A + ∠C + ∠D = 180°

13° + z° + y° = 180°

13°+99°+y°= 180°

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y° = 68°

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3 years ago
What is 51.4 plus 2.86
Hitman42 [59]

Answer:

54.26

Step-by-step explanation:

0.4+0.86= 1.26

51+2= 53

53+1.26= 54.26

6 0
3 years ago
Read 2 more answers
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