All categories

2 years ago

I need help answering this question

Mathematics

1 answer:

Advocard [28]2 years ago

8 0

Answer:

$x = 17$

Step-by-step explanation:

Since line m is parallel to line n, therefore:

$(6x + 5) + (5x - 12) = 180$ (consecutive interior angles are supplementary)

Solve for x

$6x + 5 + 5x - 12 = 180$

Add like terms

$11x - 7 = 180$

Add 7 to both sides

$11x - 7 + 7 = 180 + 7$

$11x = 187$

Divide both sides by 11

$\frac{11x}{11} = \frac{187}{11}$

$x = 17$

You might be interested in

If 818=8,707=5,452=2,1247=?

kozerog [31]

Answer:

the answer is(5)

Step-by-step explanation:

4 0

2 years ago

F(x)=1x^2+8x-5 what the answer

Musya8 [376]

Im sorry i dont know this

5 0

2 years ago

Katy buys 4 DVDs every 2 weeks how many will she buy in 10

malfutka [58]

If she maintains her average amount of movies bought every week, then she will buy 20 DVDs in 10 weeks. Explanation: she buys 4 every week, so if we want to find out how many are in 10 weeks, we must multiply two until we get to 10 ( five weeks ) then multiply that buy her average of movies. And that is how we get the answer of 20 DVDs! ( her at least I did )

Anyways, hope this helps!

5 0

3 years ago

Read 2 more answers

Find the area of a circle with a circumference of 18.48 units.

pshichka [43]

A=27.18
There is a photo showing the answer and the formula and stuff hope this helps

7 0

3 years ago

A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and tes

Pavel [41]

Answer:

0.818

Step-by-step explanation:

Since the shipment has a ton of aspirin tablets, we can assume that we pick 13 of them with reposition, because the probability shoudn't change dramatically from the probability of picking without reposition if we do so.

We call D the amount of defective tablets. If we assume that we pick the tablets with reposition, then we obtain that D is a random variable of Binomial distribution with parameters 13 and 0.6 (the probability of picking a defective tablet).

We want D to be at most one. To calculate the probability of that event we add up the probability of D being equal to 0 and the probability of D being equal to one. Since D is binomial, we have

$P(D = 0) = (1-0.06)^{13} = 0.447$
$P(D = 1) = {13 \choose 1} * 0.06^1 * (1-0.06)^{12} = 13*0.06*0.94^{12} = 0.371$

We conclude that

$P(D \leq 1) = P(D = 0) + P(D = 1) = 0.447+0.371 = 0.818$

Hence, the shipment will be accepted with probability 0.818

I hope this helps you!

6 0

3 years ago