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Vedmedyk [2.9K]
1 year ago
10

Given: KLMN is a trapezoid, KL=MN,

Mathematics
1 answer:
sp2606 [1]1 year ago
6 0
<h3>Answer:</h3>

∠K = ∠N = 60°

∠L = ∠M = 120°

<h3>Step-by-step explanation:</h3>

In the attached, we have renamed F to G so Brainly will let us talk about it more easily. We have also added altitude MX.

AG is also a midsegment of ΔKLM, so LM = 2×AG = 4. Then ...

... NX = AB - LM = 7 -4 = 3

and we have right ΔMXN with hypotenuse 6 and leg 3. This is recognizable as a 30°-60°-90° triangle, with the 60° angle at N.

The angle at M is supplementary to that at N (because LM ║ KN), so measures 120°

The trapezoid is isosceles, so angles K and L have the same measures as angles N and M.

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"Consider the probability distribution of X, where X is the number of job applications completed by a college senior through the
Citrus2011 [14]

Answer:

Option b

Step-by-step explanation:

Given that the probability distribution of X, where X is the number of job applications completed by a college senior through the school’s career center.

 Expected observed Diff

x p(x) p(x)*1000  

   

0 0.002 2  

1 0.011 11 14 -3

2 0.115 115 15 100

3 0.123 123 130 -7

4 0.144 144  

5 0.189 189  

6 0.238 238  

7 0.178 178  

   

1 1000

We find that there is a large difference in 2 job application

Hence option b is right.  

4 0
1 year ago
At what rate would you need to invest $12000 and make $2880 after 8 years?
lora16 [44]

Answer:

3\%

Step-by-step explanation:

we know that

The simple interest formula is equal to

I=P(rt)

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=8\ years\\ P=\$12,000\\I=\$2,880\\r=?

substitute in the formula above

2,880=12,000(8r)

Solve for t

2,880=96,000(r)

r=2,880/96,000

r=0.03

Convert to percent form

0.03*100=3\%

4 0
2 years ago
The crew of apollo 17 consisted of 2 pilots and a geologist. Suppose that nasa had actually trained 9 pilots and 4 geologists as
Troyanec [42]

They could have assembled total 336 different possible crews.

<em><u>Explanation</u></em>

Total number of trained pilots is 9 and geologists is 4.

The crew should be consisted of 2 pilots and 1 geologist. That means, <u>2 pilots are chosen from total 9 and 1 geologist is chosen from total 4</u>.

Number of ways for choosing 2 pilots from 9 = ^9C_{3} =84 and

Number of ways for choosing 1 geologist from 4 =^4C_{1}= 4

So, the total possible number of different crews they could have assembled =84*4= 336

8 0
2 years ago
In a survey, a group of students were asked to name their favorite elective class. There were 15 students who chose “other." How
lyudmila [28]

Answer:

50 % of them participated

7 0
2 years ago
The warehouse already has 27 pallets of stock waiting to be unloaded, and the delivery van arrives with another 8. The warehouse
Natasha_Volkova [10]
To find the answer you would add 27 and 8 together which would give you 35. Once you've done that, you would subtract 32 from 35 which would give you 3 meaning that there will be 3 pallets left over as your answer.
5 0
2 years ago
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