X = 0.6x + 384 |subtract 0.6x from both sides
0.4x = 384 |divide both sides by 0.4
x = 960
In form ax + b = c: 2x - 8.4 = 5
Solution to equation: x = 6.7
Step-by-step explanation:
4x - 8.4 = 2x + 5
2x - 8.4 = 5
2x = 13.4
x = 6.7
Answer:
1) 270 degrees
2) pi/4 rad
Step-by-step explanation:
1.) For which value of theta is sine theta = negative 1?
Given
sintheta = -1
theta = arcsin(-1)
theta = -90degrees
Since sin is negative in the third and 4th quadrant
In the third quadrant, theta = 180 + 90 = 270degrees
In the fourth quadrant, theta = 360 - 90 = 270 degrees
Hence the required value of theta is 270degrees
2) Given the radius of the circle to be 1, the y axis value will also be 1 units
Opposite = 1
adjacent = 1
hyp = √1²+1²
hyp = √2
sin theta = opp/hyp
sin theta = 1/√2
theta = arccsin(1/√2)
theta = 45 degrees
Express in radians
45 degrees = pi/4 radians
Hence the required angle in the first quadrant is pi/4 rad
Answer: k = 63
Step-by-step explanation: You need to multiply the left side by its reciprocal to move the numbers to the right. You also need to multiply by k on the right side to get it alone on the left. This will result in
(9/3)(3/9) = (21/k)(9/3) simplified
1 = 189/3k • k then multiply by k
k = 189/3 simplify
k = 63
Statement Reason
1. AB = CD, AD = CB 1. Given
2. AC = AC 2. Reflexive Property
3. ΔADC ≅ ΔCBA 3. SSS
4. ∠1 = ∠4 4. CPCTC
5. DC || AB 5. Alternate Interior Angles Converse Thm
