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Neporo4naja [7]
3 years ago
10

7.) Find the 3rd angle of the first triangle, then find the value of x. 600 400 (x)

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
7 0

Answer:

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180 so the third angle in the first triangle is 180 - 60 - 40 = 80

The value of x is 40 because given triangles are have two pair of angles that are equal.

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A farmer wishes to fence a rectangular area behind his barn. The barn forms one end of the rectangle and the length of the recta
Semenov [28]
1. The formula for calculate the perimeter of a rectangle, is:

 P=2L+2W

 P is the perimeter of the rectangle (P=320 feet).
 L is the lenght of the rectangle.
 W is the width of the rectangle.
<span>
 2. The problem says that the length of the rectangle is three times the width, so you have:
</span>
 L=3W

 3. When you substitute L=3W and P=320, into P=2L+2W, you obtain:

 P=2L+2W
 320=2(3W)+2W
 320=6W+2W
 8W=320
 W=320/8
 W=40 feet

 4. The barn forms one end of the rectangle. Therefore the linear feet of fence (x) is:

 x=P-W
 x=320 feet-40 feet
 x=280 feet
<span>
 How many linear feet of fence must he buy?
</span>
 The answer is: 280 feet
5 0
3 years ago
Researchers at a pharmaceutical company have found that the effective time duration of a safe dosage of pain relief drug is norm
FrozenT [24]

Answer:

a) P(1

b) P(X

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

2) Part a

Let X the random variable that represent the duration of a safe dosage of pain relief drug, and for this case we know the distribution for X is given by:

X \sim N(1.5,0.8)  

Where \mu=1.5 and \sigma=0.8

We are interested on this probability

P(1

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(1

And we can find this probability on this way:

P(-0.625

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.  

P(-0.625

3) Part b

We are interested on this probability

P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X

And we can find this probability on this way:

P(z

6 0
3 years ago
Slope m<br> = 2<br> y-intercept b = ?<br> =<br> Equation ?
Norma-Jean [14]
Answer:

Slope m = 2

y-intercept b = 100

Equation: y = 2x + 100
8 0
2 years ago
Solve the system of linear equations. <br> ſy =<br> = 3x - 9<br> y = 3X-9<br> X-
quester [9]

Answer:

sorry that it's sideways.

and sorry if I didn't answer your question, because it dosent really make sense.

all I understand is find X from y=3x-9

and I did find X, but I hope this helps

3 0
3 years ago
Which of the following graphs represents the solution to the following system
sdas [7]

Answer:

I am pretty sure it is most likely answer D.

Step-by-step explanation:

Hope this helps! Have a great day and good luck!

5 0
3 years ago
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