Answer:
∠AEC = 139°
Step-by-step explanation:
Since EC bisects ∠BED then ∠BEC = ∠CED = 4x + 1
∠AED = ∠AEB + ∠BEC + ∠CED = 180 ← straight angle
Substitute values into the equation
11x - 12 + 4x + 1 + 4x + 1 = 180, that is
19x - 10 = 180 ( add 10 to both sides )
19x = 190 ( divide both sides by 19 )
x = 10
Hence
∠AEC = ∠AEB + ∠BEC = 11x - 12 + 4x + 1 = 15x - 11, hence
∠AEC = (15 × 10) - 11 = 150 - 11 = 139°
Correct answer:
19.7ft
Explanation:
This problem is solved using the Pythagorean theorem (a2+b2=c2). In this formula a and b are the legs of the right triangle while c is the hypotenuse.
Using the labels of our triangle we have:
o2+a2=h2
\dpi{100} h^{2}=(10ft)^{2} +(17ft)^{2}
h2=100ft2+289ft2
h=389ft2−−−−−√
Correct Answer →19.7ft
Hope this helps!
Sincerely; Victoria<3
<u><em>Answer:</em></u>
The bird will have traveled 403 meters in 13 seconds if it maintained a speed of 31 m/sec
<u><em>Explanation:</em></u>
<u>The equation that relates velocity, distance and time is:</u>
<u>This means that:</u>
distance = velocity * time
<u>In the given, we have:</u>
velocity = 31 m/sec
time = 13 sec
<u>Substitute with the givens in the above equation and solve for the distance as follows:</u>
distance = velocity * time
distance = 31 * 13
distance = 403 meters
Hope this helps :)
Answer:
249mm
Step-by-step explanation:
You find volume of the overall figure- 11 x 3 x 13= 429
Then find volumes of missing parts of overall complete figure and subtract from the overall volume....
5 x 4 x 3= 60
429-60=369
-------------------------------------
8 x 5 x 3= 120
369-120= 249
Hope this helped!! Hope you got it- please leave a rating and mark as Brainliest. Thank You :) (I really want to go to sleep right now, would have explained further, sorry)
Given a quadratic equation 
, we define the discriminant as
The number of real solutions of the equation depend on the sign of 
:
- If
the equation has two solutions - If
the equation has one double solution - If
the equation has no real solutions
In this case, we have
And so this equation has no real solutions.
