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sladkih [1.3K]
2 years ago
10

Find the missing angles

Mathematics
1 answer:
zloy xaker [14]2 years ago
7 0

Answer:

1= 41

2= 85

3= 95

4= 85

5= 36

6= 49

7= 106

Step-by-step explanation:

I'm going to go in the order I filled them in.

3: angles that are across from each other are the same. 3 is across from the angle measured 95, so that's what 3 is.

4: We know that a line is 180 degrees. So, subtract 95 from 180:

180 - 95 = 85.

2: same for four, because two angles across from each other are the same.

5: Similar to 2 and 4. A line is 180. So, we subtract 144 from 180:

180 - 144 = 36

7: Use the large triangle on the right (the one with 38, number 7, and number 5). A triangle's angles always add up to be 180. So, subtract 38 and 36(answer to number 5) from 180:

180 - 38 - 36 = 106

6: Use the small triangle in the middle (angles 3, 5 and 6). We know angle 3 is 95 and angle 5 is 36. A triangle's angles are 180, so subtract:

180 - 95 - 36 = 49

1: Use the left triangle (angles 1, 6 and the 90 degree angle). We know angle 6 is 49, so subtract. Remember, a square in the corner is 90 degrees:

180 - 90 - 49 = 41

I hope this helps :)

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matrenka [14]
The answers are x=4 and y=323/2

1) 40/2x-3=8

Multiply both sides by 2x-3 to get rid of fraction

40= 8(2x-3)

Distribute 8

40= 16x-24

Add 24 to both sides

64=16x

Divide by 16

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2) 2y-3/40=8

Multiply both sides by 40 to red rod of fraction

2y-3=320

Add 3 to both sides

2y= 323

Divide by 2

Y=323/2

Now just describe the differences in solving them


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What is 5.316 - 1.942 (show ur work)
Fiesta28 [93]

Answer:

3.374

Step-by-step explanation:

\mathrm{Write\:the\:numbers\:one\:under\:the\:other,\:line\:up\:the\:decimal\:points.}

\mathrm{Add\:trailing\:zeroes\:so\:the\:numbers\:have\:the\:same\:length.}

\begin{matrix}\:\:&5&.&3&1&6\\ -&1&.&9&4&2\end{matrix}

\mathrm{Subtract\:each\:column\:of\:digits,\:starting\:from\:the\:right\:and\:working\:left}

\mathrm{In\:the\:bolded\:column,\:subtract\:the\:second\:digit\:from\:the\:first}:\quad \:6-2=4

\frac{\begin{matrix}\:\:&5&.&3&1&\textbf{6}\\ -&1&.&9&4&\textbf{2}\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\:\:&\:\:&\textbf{4}\end{matrix}}

\mathrm{In\:the\:bolded\:column,\:subtract\:the\:second\:digit\:from\:the\:first}

\frac{\begin{matrix}\:\:&5&.&3&\textbf{1}&6\\ -&1&.&9&\textbf{4}&2\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\:\:&\textbf{\:\:}&4\end{matrix}}

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\mathrm{The\:top\:digit\:is\:not\:bigger\:than\:the\:bottom\:one.\:\:Try\:to\:'borrow'\:a\:digit\:from\:the\:left.}

\frac{\begin{matrix}\:\:&5&.&\textbf{3}&1&6\\ -&1&.&\textbf{9}&4&2\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\textbf{\:\:}&\:\:&4\end{matrix}}

\mathrm{Borrow\:}1\mathrm{\:from\:}5\mathrm{.\:\:The\:remainder\:is\:}4

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\mathrm{Borrow\:}1\mathrm{\:from\:}13\mathrm{.\:\:The\:remainder\:is\:}12

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Hence the correct answer is 3.374

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