Answer:
w= -9/8
Step-by-step explanation:
-1/3w -3/5 = 1/5w
+1/3w +1/3 w
-3/5=1/5w+1/3w
Make common denominators to combine like terms of the right
-3/5=1/5w+1/3w
*3 *5
-3/5=3/15w+5/15w
-3/5=8/15w
multiply both sides by the reciprocal of 8/15 which is 15/8
-3/5*15/8=8/15w*15/8
*
----> cross reduce 5 in the denominator becomes 1 and 15 in the numerator becomes 3
*
-----> now multiply across
w= -9/8
Answer:
46
Step-by-step explanation:
Solution :
Remember that the sum of complementary angles is always 90°.
First, finding the value of x :
Set up an equation :
( Being complementary angles )
Solve for x
{ Remove unnecessary parentheses }
{ Combine like terms }
{ Subtract 3 from 30 }
{ Move 27 to right hand side and change it's sign }
{ Subtract 27 from 90}
{ Divide both sides by 9 }
The value of X is 7°
Now, Replacing the value of x in order to find the value of B
{ Plug the value of x }
{ Multiply 7 by 7 }
{ Subtract 3 from 49 }
The measure of B is 46°
Answer:
2
Step-by-step explanation:
<em>good luck, i hope this helps :)</em>
90 degrees
the diagonals intersect at right angles
Answer:
See solution below
Step-by-step explanation:
Let the coordinate's of A and B be (1, 0) and (2,4) respectively
midpoint M (X, Y) = [(x1+x2/2, y1+y2/2)]
X = x1+x2/2
X = 1+2/2
X = 3/2
X = 1.5
Y = y1+y2/2
Y = 0+4/2
Y = 4/2
Y = 2
Hence the required midpoint (X, Y) is (1.5, 2)
Slope m = y2-y1/x2-x1
m = 4-0/2-1
m = 4/1
m = 4
Hence the slope is 4
<em>Note that the coordinates are assumed but the same calculation can be employed for any other coordinates</em>
