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Morgarella [4.7K]
3 years ago
12

Please help me with this​

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
6 0

Let the third angle of the triangle be y.

y + 64° + 45° = 180° (angle sum of triangle is 180°)

x + y = 180° (angle of a straight line is 180°)

Notice that they both equal 180°. This means that they are the same thing, hence:

y + 64° + 45° = x + y

Since y = y, it is not necessary to write them down. Remove y from both sides of the equation:

64° + 45° = x

Surprise! exterior angle = sum of interior opposite angles.

I hope this clears up any confusion you might have. If not, feel free to leave a comment with your question.

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Stells [14]

Answer:

The answer is the family size

Step-by-step explanation:

I had to find how much it is per ounce and for the small box it cost $1.25 per ounce and for the family size it cost $0.41 which is less than $1.25 so the answer would be the family size of Honey Nut Cheerios

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Find the volume of the cylinder with a radius of 16 mm and a height of 30 mm​
Luda [366]

Answer:

6,031 <em>using diameter, not radius</em>

V = \pi * (\frac{16}{2})^2 * 30 = 6,028.8

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4 0
2 years ago
I don't get this can someone help me?
pickupchik [31]

Answer:

n=5

x= 23

p= 4

Step-by-step explanation:

What this wants us to do is find the value of the variable first, then find the measurement of the degrees.

So, for the first equation we need to make an equation.

Since the angles are vertical angles, that means they equal each other.

The equation would be.. 8n=9n-5.

Step 1- Move variable to the left hand side and change its sign

8n-9n= -5

Step 2- Collect like terms

-n= -5

Step 3- Change signs on both sides of the equation

n=5

So, now that we know what the variable is, substitute it into the equations.

8(5)= 40    9(5)-5= 40

For the second equation, the angles equal 180 degrees.

So, that would give us the equation.. 6x+19+x= 180.

Step 1- Add the common variables

(6x+x)+19= 180

7x+19= 180

Step 2- Subtract 19 from both sides.

7x+19= 180

   -19    -19

7x= 161

Step 3- Divide both sides by 7

<u>7x</u>= <u>161</u>

7     7

x= 23

So, now that we know what the variable is, substitute it into the equations.

6(23)+19= 157

157+23= 180

Finally for the last equation, they are vertical angles, so they equal each other.

So, the equation would be 5p+28= 12p.

Step 1- Move the variable to on side.

5p+28= 12p

-5p         -5p

28= 12-5p

Step 2- Subtract the variables

28= 7p

Step 3- Divide by 7 to both sides.

<u>28</u>= <u>7p</u>

7     7

p= 4

So, now that we know what the variable is, substitute it into the equations.

5(4)+28= 48

12(4)= 48

Hope this helps!! :)

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3 years ago
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defon
\bf \begin{array}{cccccclllll}&#10;\textit{something}&&\textit{varies directly to}&&\textit{something else}\\ \quad \\&#10;\textit{something}&=&{{ \textit{some value}}}&\cdot &\textit{something else}\\ \quad \\&#10;y&=&{{ K}}&\cdot&x&#10;\\ \\&#10;&&  y={{ K }}x&#10;\end{array}&#10;\\ \quad \\&#10;&#10;\begin{cases}&#10;y=4\\&#10;x=12&#10;\end{cases}\implies y=Kx\implies 4=K\cdot 12

solve for "K", to see what "K" is, or the "constant of variation",
once you found K, plug it back in y=Kx, and that's the equation
3 0
3 years ago
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