<h3>
Answer: 41 degrees</h3>
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Explanation:
Angle BFE is 117 degrees. The adjacent angle to this (angle BFA) is 180-117 = 63 degrees since the two angles form a straight line, and must add to 180.
Now because BD is parallel to AE, we know that the alternate interior angles BFA and FBD are the same measure. This makes angle FBD to be 63 degrees.
We're told that segment BF bisects angle ABD. That indicates the two smaller pieces (angles ABF and FBD) are the same measure. Both are 63 degrees in this case.
Let x be the measure of angle DBC. This angle will add to angles ABF and FBD to form a 180 degree straight angle
(angleABF) + (angleFBD) + (angleDBC) = 180
(63) + (63) + (x) = 180
x+126 = 180
x = 180-126
x = 54
Angle DBC is 54 degrees.
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The last set of steps has us focus on triangle BCD. The three angles of any triangle always add to 180.
B+C+D = 180
54 + 85 + D = 180
139 + D = 180
D = 180-139
D = 41
Angle CDB is 41 degrees, and so is angle CEA as they are corresponding angles. Corresponding angles are congruent when we have parallel lines like this.
Therefore, angle E is 41 degrees.
The diagram is below showing all of the angles we found.
Answer: triangles are similar.
Step-by-step explanation:
Givn : OK = 3, OJ = 30, KN = 1, JM = 3#
Angle O is common in both the triangles.
Two sides are in same proportion and the included angle is common (SAS) . Hence both the triangles are similar.
That means
That means the three angles of triangle OKJ are equal to the corresponding three angles of triangle ONM.
Hence the to triangles are similar.
Answer:
<h2><u><em>
x = 2 or -3</em></u></h2>
Step-by-step explanation:
What is x in x^2-x-6=0 pls
x^2 - x - 6 = 0
x + 2 * x - 3 = 0
x + 2 = 0
x - 3 = 0
x = 2 or -3
We are given chance of winning a game is 1/50.
In decimal form 1/50 could be written as 0.02.
So, for each game, the chance of winning is 0.02.
Therefore, chance of loss would be = 1 -(0.02) = 0.98.
Chance of loss of 50 independent games = 0.98*0.98*0.98*0.98...... upto 50 times, that is (0.98)^50.
The chance of winning at least once = 1 - (0.98)^50.
We got (0.98)^50 = 0.36417
Therefore, 1 - (0.98)^50 = 1 - 0.36417.
We get 0.63583.
Therefore, correct option is c. 0.6358.
2/7 srry if I'm wrong because they are parellel and possibly the same