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Serjik [45]
3 years ago
8

Line b passes through points (9, 1) and (1, 6). Line c passes through points (10, 7) and (2, 12). Are line b and line c parallel

or perpendicular?
Mathematics
1 answer:
andre [41]3 years ago
8 0
<h2>Answer:  Lines b & c are parallel.⇄</h2>

Step-by-step explanation:

  • When lines are perpendicular, the product of their slope is -1 (the slopes are negative reciprocal).
  • When lines are parallel, they have the same slope.

Slope = ( y₂ - y₁) / (x₂ - x₁)

Slope of Line b = ( 6 - 1 ) ÷ ( 1 - 9 )

                         =  5  ÷  (- 8)

                         =   - ⁵/₈

Slope of Line c =  ( 12 - 7 )  ÷  ( 2 - 10 )

                         =  - ⁵/₈

⇒ Line b ║ Line c

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Felicia wants to build a kite with the shape shown. If AC is 60 cm, how many centimeters are in the length of BD?
Kay [80]

Answer:

Step-by-step explanation:

By applying tangent rule in the given right triangle AOB,

tan(30°) = \frac{\text{Opposite side}}{\text{Adjacent side}}

\frac{1}{\sqrt{3}}=\frac{BO}{OA}

OA=BO(\sqrt{3})

By applying tangent rule in the given right triangle BOC,

tan(60°) = \frac{OC}{BO}

OC = BO(√3)

OA + OC = AC

BO(\sqrt{3})+BO(\sqrt{3}) =60

2√3(BO) = 60

BO = 10√3

OC = BO(√3)

OC = (10√3)(√3)

OC = 30

By applying tangent rule in right triangle DOC,

tan(60°) = \frac{OD}{OC}

OD = OC(√3)

OD = 30√3

Since, BD = BO + OD

BD = 10√3 + 30√3

BD = 40√3

      ≈ 69.3

6 0
3 years ago
Evaluate N^2 + 2N 1 for N=5
Murljashka [212]

Answer:

35

Step-by-step explanation:

write 5 in N's place

5^2+2×5×1

25+10

35

8 0
3 years ago
Terrance picked 54 apples. He kept a apples for himself and gave each of 6 friends an equal number of apples. How many apples di
pentagon [3]

we are given

total number of apples =54

Let's assume each friend receives =x

He kept a apples for himself and gave each of 6 friends an equal number of apples

so, we will get equation as

6x=54

now, we can solve for x

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each friend receives is 9 apples.........Answer

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4 years ago
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Cloud [144]
The other angle measures 112°.
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4 years ago
2/5 vs. 3/8 which is bigger/smaller
vova2212 [387]

2/5 is bigger and 3/8 is smaller

6 0
3 years ago
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