Answer:
infinite solutions
Step-by-step explanation:
x+6+8=2x-x+14
x+6+8=x+14
x+14=x+14
14=14
or
x=x
plug in any number
2+6+8=2(2)-2+14
16=16
another example
8+6+8=2(8)-8=14
22=22
Answer:
1 3/4
Step-by-step explanation:
You can set it up like the distrubtive property first
3/4(2+ 1/3) Next you use the distirbutive property instead of adding inside the parenthesis and you multiply the 3/4 by 2 and then the 3/4 by 1/3
Use 2 as 2/1 in fraction problems
3/4 * 2/1 Now multiply the numerators together and the denomenators together
3 * 2 = 6 4 * 1 =4
6/4
3/4 *1/3
3 * 1 =3
4 * 3 =12
3/12
Now we have to make them both like terms (same denominator) so we can add them, we will multiply the 6/4 by 3 (Both top and bottom)
6 * 3 = 18 4 *3 =12
18/12
Now we add the fractions
3/12 +18/12 = 21/12
Reduce that and you get
21/12 = 1 9/12 or 1 3/4
Vertical angles are equal
-3x + 58 = x - 2
-3x - x = -2 - 58
-4x = - 60
x = -60/-4
x = 15
m < D = x - 2....15 - 2 = 13 <====
m < C = -3x + 58....-3(15) + 58 = 13
Factor out the cos<span>θ:
</span>cosθ (2sin<span>θ + sqrt3) = 0
</span>Therefore, the only ways this can happen are if either cosθ = 0 or if (2sin<span>θ + sqrt3) = 0
</span>The first case, cosθ = 0 only at θ <span>= pi/2, 3pi/2.
</span>The second case, <span>(2sin<span>θ + sqrt3) = 0 simplifies to:
</span></span>sin<span>θ = (-sqrt3)/2
</span><span><span>θ = 4pi/3, 5pi/3
</span></span><span><span>Therefore the answer is A.
</span></span>