<h3>
Question: </h3><h3>
In the diagram below of Δ ABC, side BC is extended to point D, m∠A = x , m∠B = 2x+15, and m∠ACD = 5x+5 , what is m∠B ?</h3>
Answer: 3) m∠B = 25º
Step-by-step explanation:
Since m∠C is supplementary to m∠ACD
m∠C = 180º - m∠ACD
m∠C = 180º -(5·x + 5)
m∠C = 180º -5 -5·x
m∠C = 175º - 5·x
The sum of the angles of a triangle = 180º
m∠A + m∠B + m∠C = 180º
x + 2·x + 15º + 175º - 5·x = 180º
3·x - 5·x +190º = 180º
-2·x = 180º - 190º
-2·x = -10º
x = -10º/-2 = 5º
Now we can substitute this value of x in m∠B
m∠B = 2x+15
m∠B = 2·x + 15º = 2·5º + 15º = 10º + 15º = 25º
Answer: 3) m∠B = 25º
<h2><em>Spymore</em></h2>
And
consecutive angles have sum 180°
- 7y+3+86=180
- 7y+89=180
- 7y=91
- y=13
So
- 5z+4+86=180
- 5z=180-90
- 5z=90
- z=14
Answer: 4 inches.
Step-by-step explanation: Diameter = 2radius
The correct answer to this question is this one: "D. 11.474"
your calculator probably doesn't do "secant". But sec is 1/cos
so do cos(85) (in degree mode, not radian mode)
then "invert it": 1 / ANS or x^-1 if you have that key
or type
1/cos(85 degrees)= <span>11.4737</span>