Answer:
30. 2x²-x-1=0
or, 2x²-2x+x-1=0
or, 2x(x-1)+1(x-1)=0
or, (x-1)(2x+1)=0
so, x-1 = 0 or, x = 1
and 2x+1 = 0 or, 2x = -1 or, x = -1/2
so, x = 1 and 1/2
31. 3x²-14x=5
or, 3x²-14x-5=0
or, 3x²-15x+x-5=0
or, 3x(x-5)+1(x-5)=0
or, (x-5)(3x+1)=0
so, x-5=0 or, x=5
and 3x+1=0 or, 3x=-1 or, x=-1/3
so, x = 5 and -1/3
Answered by GAUTHMATH
Answer:
(n-2)180 (this is the equation to find the sum of interior angles)
(4-2) 180 (plug in the amount of angles in the polygon and then solve)
2* 180
360
360 - 115 -100- 73= 72 (360 is the sum of all angles for this polygon. so subtract the known angles to find the unknown one)
measure of angle B is 72 degrees
Step-by-step explanation:
Median is the middle number, but since there is 6 numbers.
Put them in order first
23,39,40,40,43,50
Well in middle is 40 for both sides
So to solve median for this you'd add the two middle numbers together since there is even set of numbers.
40+40 =80 then divide by 2
80÷2=40
Median = 40
*Follow This Example for any other even sets of numbers for Median*
Circumference = 2πr
Given that circumference 0s 6π, find radius:
2πr = 6π
r = 6π ÷ 2π = 3
Now that we know that the radius is 3 yard, find area:
Area = πr²
Area = π(3)²
Area = 9π = 28.27 yd²
Answer: 28.27 yd²
The three terms are 3d/4 and -1/2 and 7. Multiply each of these terms by 4. Why 4? This is the lowest common denominator (LCD) of the fractions. If we multiply all the terms by the LCD, then the denominators will cancel out. This will get rid of the fractions.
4 times 3d/4 = 3d
4 times -1/2 = -2
4 times 7 = 28
After multiplying each term by 4, we end up with the equation 3d - 2 = 28
Let's solve for d
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3d - 2 = 28
3d-2 + 2 = 28+2 .... add 2 to both sides
3d = 30
3d/3 = 30/3 .... divide both sides by 3
d = 10
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The final answer is d = 10
