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yuradex [85]
3 years ago
6

What must be the value of x so that lines c and d are parallel lines cut by transversal p?

Mathematics
2 answers:
spin [16.1K]3 years ago
8 0
Check the picture below.

since "y" and 3x+45 are both linear angles, then y + (3x + 45) = 180.

but wait a second!!  "y" is a corresponding angle to 81°, so y = 81° then, therefore,

\bf y+(3x+45)=180\implies 81+(3x+45)=180
\\\\\\
126+3x=180
\implies 
3x=54\implies x=\cfrac{54}{3}\implies x=18

and that can only happen, if c || d.

UkoKoshka [18]3 years ago
3 0

18      is the correct answer

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Is 14 200 000 in scientific notation 1.42 10x,5
Elan Coil [88]

Yes, the rules of scientific notation are:

1. All non-zero digits are significant

2. Zeros in between non-zeros are significant.

3. Zeros to the left of the first non-zero number are NOT significant.

4. Zeros to the right of non-zero numbers are significant IF a decimal point is present.

P.S: if you need help with sig fig rounding, let me know.

6 0
3 years ago
3y-6x=9 another equation that forms a system of equations that has infinitely many solutions?
Margaret [11]

you need another equation to solve them simultaneously since they are two unknown

8 0
3 years ago
Divide £12 between mick and sharon in the ratio 2:4
antiseptic1488 [7]

Answer:mick share is £4 while Sharon share is £8

Step-by-step explanation:

Money to be shared=£12

Mick : sharon=2:4

Sum of ratio=2+4=6

Mick share=2/6 x 12

Mick share=(2x12)/6

Mick share=24/6

Mick share=4

Sharon share=4/6 x 12

Sharon share=(4x12)/6

Sharon share=48/6

Sharon share=48/6

Sharon share=8

6 0
3 years ago
Find the domain of the function (13/x-11)
kotykmax [81]
The domain of 13/x - 11 is all real numbers except x cannot equal zero
8 0
3 years ago
Need help again asap please! Find the sum of the first 30 terms of the sequence below an=3n+2
hoa [83]

S_{30} = 1455

generate a few terms of the sequence using a_{n} = 3n + 2

a_{1} = ( 3 × 1) + 2 = 5

a_{2} = (3 × 2) + 2 = 8

a_{3} = (3 × 3 ) + 2 = 11

a_{4} = (3 × 4 ) + 2 = 14

a_{5} = ( 3 × 5 ) + 2 = 17

the terms are 5, 8, 11, 14, 17

these are the terms of an arithmetic sequence

sum to n terms is calculated using S_{n} = \frac{n}{2} [ 2a + (n-1)d]

where a is the first term and d the common difference

d = 8 - 5 = 11 - 8 = 14 - 11 = 3 and a_{1} = 5

S_{30} = \frac{30}{2} [( 2 × 5) + (29 × 3) ]

= 15( 10 + 87) = 15 × 97 = 1455



3 0
3 years ago
Read 2 more answers
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