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miss Akunina [59]
3 years ago
10

Solve for x in the diagram below (picture included)

Mathematics
1 answer:
Sever21 [200]3 years ago
5 0

Answer:

34

Step-by-step explanation:

We know the straight line is equal to 180°, and the three angles that make it are (x+12),100°, and x. We can use the equation 180=(x+12)+100+x to find x.

180=(x+12)+100+x

We can remove the parentheses and combine x plus x to 2x.

180=100+2x+12

100+12=112

so

180=112+2x

-112 -112

68=2x

÷2 ÷2

34=x

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Pepsi [2]
Yes they are equivalent
5 0
3 years ago
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How do you convert 1.16 in to a fraction
vfiekz [6]
1.16=\frac{116}{100}=1\frac{16}{100}=1\frac{16:4}{100:4}=1\frac{4}{25}
7 0
3 years ago
The 12th term of a sequence is 41 and the 15th term is 140. What is the nth term?
OLga [1]
An= mth term.
an=a₁+(n-1)*d

a₁₂=41
a₁₅=140

a₁₂=41
41=a₁+(12-1)*d
41=a₁+11d 
a₁+11d=41    (1)

a₁₅=140
140=a₁+(15-1)*d
140=a₁+14d 
a₁+14d=140    (2)

With the equiations (1) and (2)  build a system of equations
a₁+11d=41
a₁+14d=140

we solve it.
-(a₁+11d=41)
  a₁+14d=140
--------------------
       3d=99  ⇒d=99/3=33

a₁+11d=41
a₁+(11*33)=41
a₁+363=41
a₁=41-363=-322

an=a₁+(n-1)*d
an=-322+(n-1)*33
an=-322+33n-33
an=-355+33n

an=-355+33n

To check:
a₁₂=-355+33*12=-355+396=41
a₁₅=-355+33*15=-355+495=140.
3 0
3 years ago
Please help me fast:
Fiesta28 [93]

Answer:

45 − x % ∗ 45 = 38.25

− 45 x /100 = 38.25 − 45

− 45 x /100 = − 6.75

x = 6.75 ∗ 100 /45

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8 0
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What is 1 1/2 plus 2/3?
belka [17]
1 3/6 + 4/6 = 1 7/6 = 2 1/6
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3 years ago
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