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

∆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
So the probability of getting a parking space at least four out of the nine months is 27.034%

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