Answer:
-11.5
Step-by-step explanation:
4(x + 12) = 2
Distribute
4x + 48 = 2
Subtract 48 from both sides
4x = -46
Divide both sides by 4
x = -11.5
The number that will be added to both side is the square of half the coeficient of x. i.e.
Answer:
c. narrower and translated down
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
The angle at C is 90 degrees, and BCD is a right triangle, so we can applythe Pythagorean theorem here -- 60²+m²=65², so 65²-60²=m²=625. The possible values for m are 25 and -25, and since m can't be negative, 25 is our answer as 25 is the square root of 625
Answer:
H = 120°
Step-by-step explanation:
The sum of the internal angles of a polygon with n sides is given by the formula:
S = (n-2)*180
So, for a pentagon, we have n = 5, then:
S = (5-2)*180 = 540°
So we have that:
M + A + T + H + S = 540° (eq1)
M = T = H (eq2)
A + S = 180° (eq3)
Using the second and third equation in the first one, we have:
H + H + H + 180 = 540
3H = 360
H = 120°