<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>
Answer:
The answer is x = 1/11
Step-by-step explanation:
hope this helps
10x + 5x – 3 = 2(2x – 1)
10x+5x-3=4x-2
15x-4x=-2+3
11x=1
To find x divide both sides by 11
11x/11=1/11
x= 1/11
X 3
-- = --
8 7
Cross Multiply
7x = 24
Divide
x = 3.2485...
A
Answer:
y=-7x+6
Step-by-step explanation:
-21 divided by 3x is- 7x . 18 divided by 3 is 6.
Answer:
∠V = 32°
Step-by-step explanation:
VW = UV
⇒ Isosceles triangle. So, the angles opposite sides are equal.
∠W = ∠U
∴ ∠W = ∠U = 74°
<h3>Angle sum property</h3>
Sum of all angles of triangle = 180
74 + 74 + ∠V = 180
148 + ∠V = 180
∠V = 180 - 148
∠V = 32°