Answer:
BH = 2
Step-by-step explanation:
The altitude divides the triangle into similar triangles. The ratio of the long side to the short side is the same for all, so ...
AH/BH = BH/HC
4/BH = BH/1
4 = BH² . . . . multiply by BH
2 = BH . . . . . take the square root
Answer:
After each rotation of the figure after giving
G(x) = 3x + 1, evaluate g(-2).
Simply plug in (- 3) in g(x)
g(-2) = 3(-2) + 1
g(-2) = - 6 +1
g(-2) = - 5
Step-by-step explanation:
the slope of a line is always the factor of x in the equation. in our case here : 5/8.
the slope is the y/x ratio indicating how many units y changes, when x changes by a certain amount of units (e.g. when going from one point on the line to another).
the perpendicular slope (crosses the original line in a right angle = 90 degrees) turns x and y upside-down and flips the sign.
so, in our case, it is -8/5.
Let
x--------------> total volume of a glass
we know that
(4/7)x-70=(2/4)x------------> (4/7)x-70=(1/2)x--------> 2*(4/7)x-2*70=x
(8/7)x-140=x
<span>multiplied by 7 the expresion
</span>7*(8/7)x-7*140=7*x-----------> 8x-980=7x--------> x=980 cm³
the answer is
<span>the total volume of the glass is 980 cm</span>³
