Answer:
m = 8
Step-by-step explanation:
-2(5 + 6m) + 16 = -90
Start by distributing -2 inside the parentheses. This means you will multiply everything inside the parentheses (5 + 6m) by -2.
-10 - 12m + 16 = -90
Simplify the left side of the equation by combining like terms.
6 - 12m = -90
Subtract 6 from both sides of the equation to isolate the term containing the variable m and to move all other terms to the other side (right) of the equation.
-12m = -96
Divide both sides of the equation by -12 to isolate and solve for m.
m = 8
Answer:
5 units
Step-by-step explanation:
here;
perpendicular (p)= 3
base (b) = 4
hypotenuse (h) = c= ?
By Pythagorean relationship;
h²=p²+b²
or, h= √(p²+b²)
or, c= √(3²+9²)
or, c= √25
hence, c=5
3/4 of an hour = 45 minutes
45 * 3 = 135 minutes
135 + 45 = 180 minutes
He spends 180 minutes or 3 hours
Open the compass it is more than half of the distance between a and b, and scribes arcs of the same radius centered at a and b. call the two points where these two arcs meet c and d. Draw the line between c and d. CD it is the perpendicular bisector of the line segment AB. call the point where CD intersects AB and E