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Vilka [71]
3 years ago
8

Sum of Angles Find the value of x and the measure of every angle. It is Geometry

Mathematics
1 answer:
Helga [31]3 years ago
4 0
Answer:

If the sum of a triangle equals 180 degrees we’ll go off of that by doing this.

(7x+8)+(5x+2)+(7x-1)=180
7x+8+5x+2+7x-1=180
19x+9=180
19x=180-9
19x=171
19x/19=171/19
x=9

With that let’s find each angle,

I’ll just label them A, B, C.

A: (7x+8)
7(9)+8
63+8=71

B: (7x-1)
7(9)-1
63-1=62

C: (5x+2)
5(9)+2
45+2=47

71+62+47=180
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Find the sixth term of the sequence 1/2, -3/8, 9/32
sukhopar [10]

Answer:

The sixth term is -243/2048 ⇒ answer B

Step-by-step explanation:

* Lets explain the geometric sequence

- There is a constant ratio between each two consecutive numbers

- Ex:

# 5  ,  10  ,  20  ,  40  ,  80  ,  ………………………. (×2)

# 5000  ,  1000  ,  200  ,  40  ,  …………………………(÷5)  

* General term (nth term) of a Geometric sequence:

# U1 = a  ,  U2  = ar  ,  U3  = ar²  ,  U4 = ar³  ,  U5 = ar^4

# Un = ar^(n-1), where a is the first term , r is the constant ratio

  between each two consecutive terms  and n is the position of the

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- Ex: U5 = ar^4  ,  U7 = ar^6  ,  U10 = ar^9  ,  U12 = ar^11

- Lets solve the problem

∵ The sequence is 1/2 , -3/8 , 9/32

- Lets find the constant ratio r

∵ The first term is a = 1/2

∵ The second term is U2 = ar

∵ The second term  U2 = -3/8

∴ ar = -3/8

∴ 1/2 r = -3/8 ⇒ multiply both sides by 2

∴ r = -3/4

- Lets find the sixth term

∵ a = 1/2 and r = -3/4

∵ n = 6

∴ U6 = ar^5

∴ U6 = 1/2 (-3/4)^5 = 1/2 × -243/1024 = -243/2048

* The sixth term is -243/2048

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Hope this helps!
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Answer:

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Step-by-step explanation:

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