Answer:
<a = 90° (180-90 supplementary angle)
<b = 90° (180-90 supplementary angle)
<d = 48° (180-132 supplementary angle)
<e = 132° (opposite angle)
<c = 42° (interior angles of a triangle equal 180. 180-48-90=42)
Step-by-step explanation:
<a = 90° (180-90 supplementary angle)
<b = 90° (180-90 supplementary angle)
<d = 48° (180-132 supplementary angle)
<e = 132° (opposite angle)
<c = 42° (interior angles of a triangle equal 180. 180-48-90=42)
the graph of 13y + kx = 4 and the line containing the points (5, -8) and (2, 4) are parallel.
We find the slope of parallel line using two given points
(5, -8) and (2, 4)
Slope formula is
so slope = -4
Slope of any two parallel lines are always equal
Lets find the slope of the equation 13y + kx = 4
Subtract kx on both sides
13 y = -kx + 4
Divide both sides by 13
Now slope = -k/13
We know slope of parallel lines are same
So the slope of 13y + kx = 4 is also -4
Hence we equation the slope and find out k
Multiply by 13 on both sides and divide by -1
k = 52
the value of k = 52
Answer
The measurement of the missing sides are 4 cm on each side
Step-by-step explanation:
multiply 5 times 2 (5x2=10) take away the 10 and 18 and the answer for it is the answer for the whole thing.
Answer:
x = 65
Step-by-step explanation:
The angle labeled with the expression " ( 2x + 15 ) " and the angle with the measure of 145° are vertical angles
Vertical angles are congruent (In other words, they are equal to each other)
Hence, 2x + 15 = 145
^ ( Note that we just created an equation that we can use
to solve for x )
Using that same equation we then solve for x
2x + 15 = 145
step 1 subtract 15 from each side
15 - 15 cancels out
145 - 15 = 130
we now have 130 = 2x
step 2 divide each side by 2
130 / 2 = 65
2x / 2 = x
we're left with x = 65
