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garri49 [273]
3 years ago
9

Find the value of x for which the lines l and m are parallel. Choices are in the attachment.. (disregard the filled in answer)

Mathematics
2 answers:
umka21 [38]3 years ago
6 0
<h3>Answer: Choice B) 13</h3>

You chose the correct answer.

======================================================

Explanation:

Lines M and L are only parallel if and only if the corresponding angles are congruent.

The angles 127 and (9x+10) degrees are corresponding angles. They are both on the same side of the transversal, and they are to the right of each parallel line.

Set the two angle expressions equal to one another. Solve for x

9x+10 = 127

9x = 127-10

9x = 117

x = 117/9

x = 13

HACTEHA [7]3 years ago
5 0

Answer:

x=13

Step-by-step explanation:

For the lines to be parallel, the angles would be equal

127 = 9x+10

Subtract 10 from each side

127 -10 = 9x+10-10

117 = 9x

Divide each side by 9

117/9 = 9x/9

13 =x

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Merta reports that 74% of its trains are on time. A check of 60 randomly selected trains shows that 38 of them arrived on time.
kenny6666 [7]

Answer:

No, the on-time rate of 74% is not correct.

Solution:

As per the question:

Sample size, n = 60

The proportion of the population, P' = 74% = 0.74

q' = 1 - 0.74 = 0.26

We need to find the probability that out of 60 trains, 38 or lesser trains arrive on time.

Now,

The proportion of the given sample, p = \frac{38}{60} = 0.634

Therefore, the probability is given by:

P(p\leq 0.634) = [\frac{p - P'}{\sqrt{\frac{P'q'}{n}}}]\leq [\frac{0.634 - 0.74}{\sqrt{\frac{0.74\times 0.26}{60}}}]

P(p\leq 0.634) = P[z\leq -1.87188]

P(p\leq 0.634) = P[z\leq -1.87] = 0.0298

Therefore, Probability of the 38 or lesser trains out of 60 trains to be on time is 0.0298 or 2.98 %

Thus the on-time rate of 74% is incorrect.

6 0
2 years ago
Which point is a solution to the system graphed below?
azamat

Answer:

b. (-3, -2)

explanation:

it's the only point inside the colored area.

5 0
3 years ago
Which of the following is the value of 3x’ – x+2 when x=-4
Aleks [24]

Answer:

-6

Step-by-step explanation:

3x-x+2

2x+2

2(-4)+2

-8+2

-6

Hope this helps!

#Team Rainbows~

6 0
2 years ago
Linda went to a store and bought 2 items .Each item cost $12. How much money did she spend?
Mekhanik [1.2K]

Answer:

24 dollars

Step-by-step explanation:


5 0
2 years ago
Estimate a 20% tip on a dinner bill of $168.56 by first rounding the bill amount to the nearest ten dollars
marusya05 [52]

Answer:

$34

Step-by-step explanation:

Look at the tens place with a 6,

The 8 next to it makes it round up,

The nearest ten dollars is $170,

170(.20) = $34

3 0
3 years ago
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