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abruzzese [7]
3 years ago
10

You construct lines p, q, r, and s such that p || q, r ⊥ p, and s ⊥ q. Which of the following must be true?

Mathematics
1 answer:
jolli1 [7]3 years ago
4 0

Answer:

r ll s

Step-by-step explanation:

The easiest way to solve thi is to draw a picture .

P and Q are parallel, so draw those as two opposite seides of a square.

R and P are perpendictular so draw that as the top line of the square. Since it is perpendicular to P, R has to be perpendictular to Q.

Draw line S as the bottom line of the square and the same rules apply, so      R is parallel to S

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mixer [17]

Subtract.

1 - 3/8 = 5/8

8 0
3 years ago
If someone could please help me I’m confused thanks:)
Sedbober [7]
<h3>Answer:  x = 45</h3>

Work Shown:

x+x+90 = 180 .... all three angles of a triangle add to 180

2x+90 = 180

2x = 180-90

2x = 90

x = 90/2

x = 45

This is a 45-45-90 right triangle. We also consider it an isosceles right triangle because the base angles (45) are equal.

3 0
3 years ago
Margie is practicing for an upcoming tennis tournament. Her first serve is good 20 out of 30 times on average. Margie wants to k
mojhsa [17]

Answer:

0.6804

Step-by-step explanation:

Given that Margie is practicing for an upcoming tennis tournament. Her first serve is good 20 out of 30 times on average.

Since each trial is independent and there are two outcomes, X no of good serves is binomial with n=6 and p =2/3

Required probability

= Prob that atleast four of 6 times good serve

=P(X\geq 4)

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Formula used:

P(X=r) =6Cr (\frac{2}{3}^r )(\frac{1}{3}^{6-r}  )

7 0
3 years ago
Read 2 more answers
The perimeter of a rectangular garden is 44 meters. The length of the rectangle is 5 less than twice the width. Find the length
defon

9514 1404 393

Answer:

  • width: 9 m
  • length: 13 m

Step-by-step explanation:

Let w represent the width. Then the length is 2w-5, and the perimeter is ...

  P = 2(L+W)

  44 = 2((2w-5) +w)

  44 = 6w -10

  54 = 6w

  9 = w

  2(9) -5 = 13 = length

The length of the rectangle is 13 meters; the width is 9 meters.

6 0
3 years ago
Find the thirteenth term of an arithmetic sequence if the first term is 3 and the common difference is 3
lesya692 [45]

Answer:

39

Step-by-step explanation:

Formula for the nth term (an) = a1 + d(n - 1)  where a1 = the first term and d = common difference.

So here the 13th term = 3 + 3(13 - 1)

= 3 + 3*12

= 39  (answer).

8 0
3 years ago
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