Answer:
The two angles are 85 and 95 degrees
Step-by-step explanation:
Supplementary angles add to 180
Let x be one angle
The supplement is 10 less, ( x-10)
They add to 180
x+ ( x-10) = 180
2x -10 = 180
Add 10 to each side
2x-10+10 =180-10
2x= 190
Divide by 2
2x/2 =190/2
x=95
The other angle is 95-10 = 85
The two angles are 85 and 95 degrees
Answer:
528 cm²
Step-by-step explanation:
First I would calculate the area of the side rectangles:
20 x 9 = 180 cm²
There are two identical rectangles on both sides so i would x2
180 x 2 = 360 cm²
The area of the middle rectangle:
6 x 20 = 120 cm²
The area of the triangles:
Area of a triangle = (Base x Height)/2
8 x 6 = 48
48 ÷ 2 = 24
There are two identical triangles on the bottom and the top so x2
24 x 2 = 48
Now add all the values up:
360 + 120 + 48 = 528 cm²
I hope this helps!
Answer:4x^2+22x-12
Step-by-step explanation:
height=(2x+12)
base=(4x-2)
Area of =(base x height)/2
Area of =((4x-2)(2x+12))/2
Area of =(8x^2+48x-4x-24)/2
Area of =(8x^2+44x-24)/2
Area of =4x^2+22x-12
Answer:
10/14, 15/21, and 20,28
Step-by-step explanation:
You just need to multiply a number on the numerator and the denominator. Remember, whatever you do to the numerator you have to do on your denominator.
Answer:
f + g)(x) = f (x) + g(x)
= [3x + 2] + [4 – 5x]
= 3x + 2 + 4 – 5x
= 3x – 5x + 2 + 4
= –2x + 6
(f – g)(x) = f (x) – g(x)
= [3x + 2] – [4 – 5x]
= 3x + 2 – 4 + 5x
= 3x + 5x + 2 – 4
= 8x – 2
(f × g)(x) = [f (x)][g(x)]
= (3x + 2)(4 – 5x)
= 12x + 8 – 15x2 – 10x
= –15x2 + 2x + 8
\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(
g
f
)(x)=
g(x)
f(x)
= \small{\dfrac{3x+2}{4-5x}}=
4−5x
3x+2
My answer is the neat listing of each of my results, clearly labelled as to which is which.
( f + g ) (x) = –2x + 6
( f – g ) (x) = 8x – 2
( f × g ) (x) = –15x2 + 2x + 8
\mathbf{\color{purple}{ \left(\small{\dfrac{\mathit{f}}{\mathit{g}}}\right)(\mathit{x}) = \small{\dfrac{3\mathit{x} + 2}{4 - 5\mathit{x}}} }}
