9/2 x3
B
9/2 x 3/2
с
9/2 x 1/3
D
2/9 = 3
Answer:
<3=75°
Step-by-step explanation:
Angle 3 and angle 2x+95 are supplementary( supplementary angles add up to 180°)
So <3+2x+95=180
<3+2x=180-95
<3+2x=85( let's call this equation 1)
Next, angle 5 and angle 8x+71 are opposite angles (opposite angles are equal) therefore <5=8x+71
Now, <3 and <5 are co-interior angles(co-interior angles are supplementary)
So <3+8x+71=180
<3+8x=180-71=109
Thus, <3+8x=109(let's call this equation 2)
Now solving equation 1 and 2 simultaneously:
Make <3 the subject of equation 1
<3=85-2x
Put <3=85-2x into equation 2
85-2x+8x=109
6x=24
x=24/6=4
Now, remember that angle 2x+95 becomes
2(4)+95
8+95=103°
Therefore<3=180-105=75°
Answer:
Step-by-step explanation:
The products of the given expressions are:
Here, we have to find the product of the expressions given,
let's multiply them step by step:
First, apply the distributive property:
Now, add the results:
Product of (2x + 8) and
Combine like terms:
Product =
Product =
(x - 4)(x - 1)(20x + 4):
First, apply the distributive property:
Now, multiply the result with (20x + 4):
Combine like terms:
Product =
Product =
2(x + 4)(x - 4):
First, apply the distributive property:
2(x + 4) = 2x + 8
Now, multiply the result with (x - 4):
Combine like terms:
Product =
Product =
2x(x - 1):
Apply the distributive property:
2x * (-1) = -2x
Combine the terms:
Product =
2x(x + 4):
Apply the distributive property:
2x * 4 = 8x
Combine the terms:
Product =
So, the products of the given expressions are:
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=−640x10+1280x9+19904x8−40728x7−144488x6+323904x5−162304x4+1024x3+2048x2
step by step
(2x+8x2+3x−4x(x−4)(x−1)(20)x+4)(2)(x+4)(x−4)(2)x(x−1)(2)x(x+4)
=((2x+8x2+3x−4x(x−4)(x−1)(20)x+4)(2)(x+4)(x−4)(2)x(x−1)(2)x)(x+4)
=((2x+8x2+3x−4x(x−4)(x−1)(20)x+4)(2)(x+4)(x−4)(2)x(x−1)(2)x)(x)+((2x+8x2+3x−4x(x−4)(x−1)(20)x+4)(2)(x+4)(x−4)(2)x(x−1)(2)x)(4)
=−640x10+3840x9+4544x8−58904x7+91128x6−40608x5+128x4+512x3−2560x9+15360x8+18176x7−235616x6+364512x5−162432x4+512x3+2048x2
=−640x10+1280x9+19904x8−40728x7−144488x6+323904x5−162304x4+1024x3+2048x2