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DIA [1.3K]
3 years ago
8

Given that the measure of angle GHJ = 154 degrees find the angle of HIJ

Mathematics
1 answer:
vichka [17]3 years ago
6 0

Answer:

the correct answer is 77°

Step-by-step explanation:

Angle GHJ and IHJ form supplementary angles which add up to 180°

therefore angle IHJ=180-154

angle IHJ=26°

Triangle IHJ is an isosceles triangle whose base angles HIJand IJH are equal. Lets assign them the same value, x° each

since the sum of all interior angles of a triangle add up to 180°, then x°+x°+26°=180°

2x+26=180

2x=154°

x=77°

Therefore both HIJ and IJH measure 77°

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The time between calls made to Amazon's customer service is exponentially distributed with a mean of 10 minutes (taken between e
daser333 [38]

Answer:

The probability that the time between the next two calls is between 3 minutes and 7 minutes is 0.2442.

Step-by-step explanation:

Let <em>X</em> = time between calls made to Amazon's customer service.

The average time between calls is, <em>β</em> = 10 minutes.

The random variable <em>X</em> follows an Exponential distribution with parameter \lambda=\frac{1}{\beta}=\frac{1}{10}=0.10

The probability distribution function of <em>X</em> is:

f_{X}(x)=\left \{ {{\lambda e^{-\lambda x};\   x>0}} \atop {0;\ otherwise}} \right.

Compute the probability that the time between the next two calls is between 3 minutes and 7 minutes as follows:

P(3

Thus, the probability that the time between the next two calls is between 3 minutes and 7 minutes is 0.2442.

3 0
3 years ago
Read 2 more answers
Please help me asap!
poizon [28]

Answer:

24 units

Step-by-step explanation:

Given is a circle with two chord BE and CD

BE and CD intersect at A

By circle chords intersection theorem we have

DA*AC = EA*AB

i.e. 8(15) = 5(AB)

Divide by 5 both the sides

AB =8(15)/5 = 8(3) = 24 units

Verify:

Let us check now whether chord intersection theorem is satisfied.

DA*AC = 8(15) = 120

EA*AB = 5(24) = 120

Since these two equal, we verify that answer is right.


8 0
3 years ago
Equation don't has three time much money than his brother who has 25.
mash [69]
First think out the equation, once you've done that multiply 3 by 25 to get 75
5 0
3 years ago
If a varies directly as p, and a = 260 when p = 13, what is the value of a when p = 17?
Talja [164]

Answer:

340

Step-by-step explanation:

As 260/13 = a/p

So, a/p = 20

Therefore, a= 20p

p=17

So, a = 20p

a= 20x17

a= 340

6 0
3 years ago
Rút gọn biểu thức chứa căn
olya-2409 [2.1K]

Answer:

CHENG CHANG ching ching

3 0
3 years ago
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