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galben [10]
2 years ago
5

Given: BD bisects AC and ∠CBE≅∠ADE.

Mathematics
2 answers:
Anon25 [30]2 years ago
4 0

Here

  • BC=AD(Parallel)
  • <BEC=<AEC
  • <CBE=<ADE

So

∆BEC\cong∆AED(ASA)

Also similarly

  • ∆ABE\cong∆CBE

Hence it's a paralleogram

chubhunter [2.5K]2 years ago
3 0

Answer:

know that,

Sum of all four angles of a quadrilateral = 360o

Sum of two given angles = 40o + 110o = 150o

So, the sum of remaining two angles = 360o – 150o = 210o

Also given,

Ratio in these angles = 3 : 4

Hence,

Third angle = (210o x 3)/(3 + 4)

= (210o x 3)/7

= 90o

And,

Fourth angle = (210o x 4)/(3 + 4)

= (210o x 4)/7

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Parking spaces at a business school are arranged by a random monthly lottery. there are 3 spaces for every 10 students who want
Alexus [3.1K]

27.034%  
Let's define the function P(x) for the probability of getting a parking space exactly x times over a 9 month period. it would be: 
P(x) = (0.3^x)(0.7^(9-x))*9!/(x!(9-x)!)  
Let me explain the above. The raising of (0.3^x)(0.7^(9-x)) is the probability of getting exactly x successes and 9-x failures. Then we shuffle them in the 9! possible arrangements. But since we can't tell the differences between successes, we divide by the x! different ways of arranging the successes. And since we can't distinguish between the different failures, we divide by the (9-x)! different ways of arranging those failures as well. So P(4) = 0.171532242 meaning that there's a 17.153% chance of getting a parking space exactly 4 times. 
Now all we need to do is calculate the sum of P(x) for x ranging from 4 to 9.

So
 P(4) = 0.171532242
 P(5) = 0.073513818
 P(6) = 0.021003948
 P(7) = 0.003857868
 P(8) = 0.000413343
 P(9) = 0.000019683
  And
 0.171532242 + 0.073513818 + 0.021003948 + 0.003857868 + 0.000413343
+ 0.000019683 = 0.270340902 
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5 0
3 years ago
A rectangular prism has a length of 114 centimeters, a width of 4 centimeters, and a height of 314 centimeters.
algol13
Hello!
----------
The volume of the prism is 143184 cm^3
----------
WORK: 114*4=456*314=143184
----------
Have a great day!
4 0
3 years ago
Read 2 more answers
X<br> 107<br> 34<br> What is the measure of Angle X?
garri49 [273]

Answer:

Angle X is 39 degrees

Step-by-step explanation:

107+34=141 degrees

180-141= 39 degrees

Angle X is 39 degrees.

5 0
3 years ago
Let line $l_1$ be the graph of $5x + 8y = -9$. Line $l_2$ is perpendicular to line $l_1$ and passes through the point $(10,10)$.
SashulF [63]

Answer:

m + c = - 4.4

Step-by-step explanation:

Line 1 is given by the equation 5x + 8y = -9, ⇒ y = - \frac{5}{8} x - \frac{9}{5} ........(1) {In slope-intercept form}

If line 2 is perpendicular to the line 1 then the equation of line 2 will be  

y = \frac{8}{5} x + c  ........ (2), where c is a constant. {Since the product of the slopes of two perpendicular straight line is -1}

Now, the line 2 passes through the point (10,10).

So, from equation (2), we get,

c = y - \frac{8}{5} x = 10- \frac{8 \times 10}{5} = - 6

Therefore, the equation of line 2 will be y = \frac{8}{5} x - 6

This equation is in y = mx + c form where m = \frac{8}{5} = 1.6 and c = - 6

Hence, m + c = 1.6 - 6 = - 4.4 (Answer)

7 0
3 years ago
The best definition for a Transformation is:
Morgarella [4.7K]

Answer:

I'm pretty sure I it'd be D

Step-by-step explanation:

It sounds correct :)

4 0
3 years ago
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