If you use rise/run, the answer is 3/4. Up 3, over 4
Answer:
-3(4x+3)+5x (Given) 1/2 (6k+10)+5k (given)
-12x-9+5x (distribution) 3k+5+5k (distribution)
-12x+5x-9 (associative) 3k+5k+5 (associative)
-7x-9 (Combine like terms) 8k+5 (combine like terms)
Step-by-step explanation:
Answer:
14 inches
Step-by-step explanation:
Since the rectangular prism has a square base, we know that the width and length are equal.
Using the formula for calculating the volume of a rectangular prism, we can set up an equation:
(width^2)*height = 980 cubic inches or
(width^2)*5 in. = 980 cubic inches, simplify the equation by dividing each side by 5 inches, and the result is:
width^2 = 196 sq.in., simply by taking the square root of each side of the equation, and the result is:
√width (inches) = √196 square inches = width = 14 inches
each side of the prism's base is 14 inches
Answer:
See answers below
Step-by-step explanation:
Since both trinagles asre similar hence the ratio of the similar sides are equal.
From both triangles;
y + 7 = 3y - 7
y - 3y = -7-7
-2y = -14
y = 14/2
y = 7
FE = 3y - 17
FE = 3(7) - 17
FE = 21 - 17
FE = 4
AB = y'+7
AB = 7 + 7
AB = 14
Similarly
3x+20 = 5x - 80
3x -5x = -80-20
-2x = -100
x = 100/2
x = 50
<A = 3x + 20
<A = 3(50) + 20
<A = 150 + 20
<A = 170degrees
Hence x= 50 and y = 7
Answer:
1
Step-by-step explanation:
It simplifies to 7^xy=7. That means that xy must equal 1 to make the equation true.
