Answer:
x = - 8/23
y = 40/23
Step-by-step explanation:
-5x- y = 0
and
-8x+3y = 8
The first step to solve this would be to get what one of the two variables equal. The easiest in this case is y from the first equation.
-5x-y = 0
-y = 5x
y = - 5x
Now you can take this y value and plug it into the section equation.
-8x + 3(-5x) = 8
-8x - 15x = 8
-23x = 8
x = - (8/23)
Once you get the x value you can plug it back into equation one to get y's value
-5*-(8/23) - y = 0
40/23 - y = 0
y = 40/23
Answer:
m∠3 = 105°
Step-by-step explanation:
Line 'l' is parallel to line 'm' and a transversal is intersecting these parallel lines at two distinct points.
m∠3 + m∠6 = 180° [Consecutive interior angles]
Since, ∠6 = 75° [Given]
m∠3 + 75° = 180°
m∠3 = 180 - 75
= 105°
Therefore, measure of ∠3 is 105°.
1. You have the following information:
Sinx=5/13
Cosx=12/13
2. By definiton, you have:
Tanx=(Senx)/(Cosx)
3. When you susbtitute Senx=5/13 and Cosx=12/13 into Tanx=(Senx)/(Cosx), you obtain:
Tanx=(Senx)/(Cosx)
Tanx=(5/13)/(12/13)
Tanx=(5)(13)/(13)(12)
Tanx=65/156
4. Therefore, the answer is;
Tanx=65/156
Answer: 3/4 of an hour left.
Step-by-step explanation:
Step 1: 2 hours = 4/4 +4/4
Step 2: 4/4 - 2/4 = 2/4
Step 3: 4/4 - 3/4 = 1/4
Step 4: 2/4 + 1/4= 3/4