Answer:
60°
Step-by-step explanation:
Given :
DAB= (180 – 3x) °,
mZ B= (6x – 40) °, and
m ZC = (x+20) °.
DAB = mZ B + m ZC ( the exterior angle equal the sum of the two opposite interior angles)
180 - 3x = (6x - 40) + (x + 20)
180 - 3x = 6x - 40 + x + 20
180 - 3x = 6x + x - 40 + 20
180 - 3x = 7x - 20
180 + 20 = 7x + 3x
200 = 10x
x = 200/10
x = 20
Angle B = 6x - 40 = 6(20) - 40 = 120 - 40 = 80
Angle C = x + 20 = 20 + 20 = 40
BAC = 180 - (80 + 40) (SUM OF ANGLES IN A TRIANGLE)
BAC = 180 - 120
BAC = 60°
Answer:
the solution (x,y) are any x and y that satisfy the equation.
One possible solution is (0,3) or x=0, y=3.
Btw, x(squared) + y(squared) =3(squared)
is an equation of a circle centre (0,0) radius 3.
Answer:
65°
Step-by-step explanation:
The sum of the angles of a triangle is always 180°. Meaning, ∠P + ∠Q + ∠R = 180.
(2x-9) + (2x+4) + x = 180
Combine like terms:
5x-5 = 180
5x = 185
x = 37
P = (2x - 9) = 2(37) - 9 = 74 - 9 = 65
Answer:
No solutions
Step-by-step explanation:
Isolate the absolute value:
|x−1| + 5 = 2
Subtract 5 from both sides:
|x-1| = -3
Since an absolute value can never be equal to a negative number, there are no solutions.
<span><span>10+4</span>−<span><span>(17)</span><span>(2)</span></span></span><span>=<span>14−<span><span>(17)</span><span>(2)</span></span></span></span><span>=<span>14−34</span></span><span>=<span>−<span>20
Hope you enjoy</span></span></span>
