Answer:
10 degrees
Step-by-step explanation:
(5x(10))+3=53 degrees
(3x(10))+7=37 degrees
53+37=90 degrees
Answer:
sinΘ = 
Step-by-step explanation:
sinΘ = 
= 
=
Answer:
(a) Neither
(a) Perpemdicular
Step-by-step explanation:
Required
Determine the relationship between given lines
(a)
and
An equation written in form: 
has the slope:
So, in both equations:
For both lines to be parallel
This is false in this case, because:
For both lines to be perpendicular
This is false in this case, because:
(b)
and
Write equations in form:
Divide by 5
Divide by 2
In both equations:
For both lines to be parallel
This is false in this case, because:
For both lines to be perpendicular
This is true in this case, because:
Cancel out 2 and 5
Answer:
L2: y-0 = 5/2(x-5)
y = 5/2x-25/2
Step-by-step explanation:
Parallel lines have same slopes.
Line 1, L1: 5x-2y=20 is in standard form Ax+By=C therefore slope m1= -A/B = -5/-2 = 5/2 or you can solve it for y so you will have the equation in slope-intercept form.
5x-2y = 20
-2y = -5x+20
y = (-5/-2)x+20/(-2)
y = (5/2)x-10 hence m1=5/2 and y-intercept is -10
Line 2 , L2: y-y1 = m (x-x1), m=m2=m1=5/2
Point p(5,0) or p(x1,y1) therefore x1=5 , y1=0 and m=5/2
L2: y-0 = 5/2(x-5)
y = 5/2x-25/2
Answer:
x = 2
Step-by-step explanation:
Step 1: Write out equation
2 - 4x = 3x - 12
Step 2: Add 4x on both sides
2 - 4x + 4x = 3x + 4x - 12
2 = 7x - 12
Step 3: Add 12 on both sides
2 + 12 = 7x - 12 + 12
14 = 7x
Step 4: Divide both sides by 7
14/7 = 7x/7
2 = x
Step 5: Rewrite
x = 2
