Answer:
Step-by-step explanation:
Parallel lines have same slope.
y = mx + b
Slope = m & y-intercept = b
x - 5y = 15
-5y = -x + 15
y = 
so, slope = 1/5 ; (-5 , 7)
y -y1 = m(x -x1)
![y - 7 = \frac{1}{5}(x- [-5])\\\\y - 7 =\frac{1}{5}(x + 5)\\\\y - 7 = \frac{1}{5}x+5*\frac{1}{5}\\\\y - 7 =\frac{1}{5}x+1\\\\y =\frac{1}{5}x+1+7\\\\y=\frac{1}{5}x + 8](https://tex.z-dn.net/?f=y%20-%207%20%3D%20%5Cfrac%7B1%7D%7B5%7D%28x-%20%5B-5%5D%29%5C%5C%5C%5Cy%20-%207%20%3D%5Cfrac%7B1%7D%7B5%7D%28x%20%2B%205%29%5C%5C%5C%5Cy%20-%207%20%3D%20%5Cfrac%7B1%7D%7B5%7Dx%2B5%2A%5Cfrac%7B1%7D%7B5%7D%5C%5C%5C%5Cy%20-%207%20%3D%5Cfrac%7B1%7D%7B5%7Dx%2B1%5C%5C%5C%5Cy%20%3D%5Cfrac%7B1%7D%7B5%7Dx%2B1%2B7%5C%5C%5C%5Cy%3D%5Cfrac%7B1%7D%7B5%7Dx%20%2B%208)
Answer:
x = -30
Step-by-step explanation:
subtract 7 from both sides ( 7+2/5x -7, -5-7 )
simplify ( 2/5x = 12 )
multiply both sides by 5 ( 2/5x times 5 = 5 (-12) )
simplify ( 2x = -60 )
divide both sides by 2 ( 2x / 2, -60 / 2 )
x = -30
Answer:
x=40
Step-by-step explanation:
x + 320 = 360
-320 -320
x = 40
Answer:
B= 50.35°
C=91.65°
c= 12.77
Step-by-step explanation:
Given:
A = 38°
b= 10 and a=8.
Required:
angles B and C, and sides c.
By using the rule for law of sines
=> 0.77
B= 
(0.77) => 50.35°
For angle C:
angle C= 180 - A - B => 180 - 38 - 50.35
=91.65°
For side c:
c=
=> 8(
)
c= 12.77
Hello! 3% interest is earned annually and $200 is added per year. 3% is 0.03 in decimal form. Let's add 1 to that number. 1 + 0.03 is 1.03. Let's multiply that by 200. 200 * 1.03 is 206. That's the amount after 1 year. Add 200 to that amount. 206 + 200 is 406. Multiply that amount by 1.03. 406 * 1.03 is 418.18. That is the amount after the second year. Now, add 200 to that amount. 418.18 + 200 is 618.18. Multiply that amount by 1.03. 418.18 * 1.03 is 636.7254 or 637 when rounded to the nearest whole number. Keep in mind that we add 200 each year and then multiply the amount by 103% (1.03) after that. There. Brandy will have about $637 after 3 years. The answer is C: $637.
