Answer: 64
Step-by-step explanation:
Answer: a) 26297.50 b) 124.992870045
Step-by-step explanation:
a) 105.19*250=26297.50
b) 13148/105.19= 124.992870045
![\bf Step-by-step~explanation:](https://tex.z-dn.net/?f=%5Cbf%20Step-by-step~explanation%3A)
We are given that BA is perpendicular to BD, so that must mean that <em>m∠ABD </em>is a right angle, or 90º. This means: (8x - 10) + (4x + 52) = 90º, since both of the angles add up to become a right angle. We have to solve for x in order to find <em>m∠CBD.</em>
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<u>PART 1</u>
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Equation: (8x - 10) + (4x + 52) = 90
Let's add the like values together first.
![\bf 8x+4x=12x\\-10+52 = 42](https://tex.z-dn.net/?f=%5Cbf%208x%2B4x%3D12x%5C%5C-10%2B52%20%3D%2042)
![\bf 12x+42=90](https://tex.z-dn.net/?f=%5Cbf%2012x%2B42%3D90)
![\bf Step~2:](https://tex.z-dn.net/?f=%5Cbf%20Step~2%3A)
Let's subtract 42 from both sides of the equation to isolate the variable we are solving for, x. Our goal is to isolate it completely to get a value that is equal to x.
![\bf12x+42(-42)=90(=42)\\12x=48](https://tex.z-dn.net/?f=%5Cbf12x%2B42%28-42%29%3D90%28%3D42%29%5C%5C12x%3D48)
![\bf Step~3:](https://tex.z-dn.net/?f=%5Cbf%20Step~3%3A)
Divide both sides by 12 to get our final answer for x.
![\bf\frac{12x}{12} =x\\\\\frac{48}{12}= 4\\\\x=4](https://tex.z-dn.net/?f=%5Cbf%5Cfrac%7B12x%7D%7B12%7D%20%3Dx%5C%5C%5C%5C%5Cfrac%7B48%7D%7B12%7D%3D%204%5C%5C%5C%5Cx%3D4)
<u>PART 2</u>
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Now that we have x, we simply plug it into our equation for <em>m∠CBD. </em>
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![\bf4x+52\\4(4)+52](https://tex.z-dn.net/?f=%5Cbf4x%2B52%5C%5C4%284%29%2B52)
![\bf Step~2:](https://tex.z-dn.net/?f=%5Cbf%20Step~2%3A)
Multiply 4 and add 52.
![\bf 4*4=16\\16+52=68](https://tex.z-dn.net/?f=%5Cbf%204%2A4%3D16%5C%5C16%2B52%3D68)
![\large\boxed{\bf Our~final~answer: mCBD=68}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%5Cbf%20Our~final~answer%3A%20mCBD%3D68%7D)
I know my sibling wil answer it
Answer:
Difference = 2/4
Step-by-step explanation:
Line Plot is a graph that presents data through number line. Here, possible values of considered variable are on number line, & their frequency is denoted by number of dots or crosses above.
As per given line plot for tomato plants heights, 3 plants have height = 1/4, 5 plants have height = 1/2, 4 plants have height = 3/4.
1/4 < 1/2 < 3/4 , 1/4 is the shortest height & 3/4 the longest height of plants. So, difference between smallest & largest height value, ie range = Highest Value - Lowest Value = 3/4 - 1/4 = 2/4