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sdas [7]
3 years ago
12

Help me please hurry

Mathematics
1 answer:
tatuchka [14]3 years ago
5 0

Answer:

61°

this triangle is split in half and forms 2 triangles. These triangles must be congruent since they are each excatly half of this rectangle

Therefore, <2 is going to be equal to the m< the corresponding angle in the other triangle. <2 = 61°

<2 is also equal to 61° by the interior angles theorem

Step-by-step explanation:

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15. If y varies directly as x and y = 540 when x = 10, find x when y = 1080
Sholpan [36]

\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}

\stackrel{\textit{"y" varies directly as "x"}}{y = kx}\qquad \textit{we also know that} \begin{cases} y = 540\\ x = 10 \end{cases}\implies 540=k(10) \\\\\\ \cfrac{540}{10}=k\implies 54=k~\hfill \boxed{y=54x} \\\\\\ \textit{when y = 1080, what is "x"?}\qquad 1080=540x\implies \cfrac{1080}{540}=x\implies 2=x

6 0
2 years ago
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ASHA 777 [7]

Answer:

x=\frac{12}{13}

Step-by-step explanation:

\frac{3x}{4} +2=4x-1\\\\4x - \frac{3x}{4} = 2+1\\\\\frac{13x}{4} =3\\\\13x=12\\\\x=12/13

7 0
4 years ago
the figure is made up of a cylinder and a half sphere what is the volume of the composite figure use 3.14 for pi round to the ne
natka813 [3]

Answer:

485.9 mm³

Step-by-step explanation:

The volume of a sphere is 4/3 π r³. So the volume of a hemisphere is half of that:

<h3>V = (2 / 3) π r³</h3>

V = 128π/3

The formula for the volume of a cylinder is V = Bh or V = πr²h .

The radius of the cylinder is 4mm and the height is 7mm

Substitute 4 for r and 7 for h in the formula V = πr²h .

<h3>V=π(4)²(7)</h3>

V = 112π

Since the figure is made up of a hemisphere and cylinder so volume will be sum of these two shapes

<h3>V = 128π/3 +  112π</h3>

  = 485.9 mm³

7 0
3 years ago
Can someone solve this please
Fudgin [204]

Answer:

53 secs

Step-by-step explanation:

4 0
2 years ago
How many possible outcomes are there when flipping a coin 9 times?
otez555 [7]
Each time the coin is tossed, there are two possible outcomes. The total number of possible outcomes when 9 tosses are made is given by:
2^{9}=512\ outcomes
3 0
3 years ago
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