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schepotkina [342]
2 years ago
14

Classify Angle 5 & Angle 6 by choosing the correct term from the choices below.

Mathematics
1 answer:
vampirchik [111]2 years ago
6 0

\qquad \qquad\huge \underline{\boxed{\sf Answer}}

In the given figure, the angles 5 and 6 form Vertical opposite angle pair.

so, correct choice is Vertical

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X + y = 152,<br><br> 8.5x + 12y = 1,656<br><br> How many hats were sold?
Elodia [21]

Answer:

x = 48 and y = 104

Step-by-step explanation:

Given equations are:

x+y = 152\\8.5x+12y=1656

From equation 1:

x = 152-y

Putting the value of y in equation 2

8.5(152-y)+12y = 1656\\1292-8.5y+12y = 1656\\3.5y+1292 = 1656\\3.5y = 1656-1292\\3.5y = 364\\\frac{3.5y}{3.5} = \frac{364}{3.5}\\y = 104

Now we have to put the value of y in one of the equation to find the value of x

Putting y = 104 in the first equation

x+y = 152\\x+ 104 = 152\\x = 152-104\\x = 48

Hence,

The solution of the system of equations is x = 48 and y = 104

The value of variable which was assumed for number of hats, is the total number of hats.

6 0
2 years ago
What key features of a quadratic graph can be identified and how are the graphs affected when constants or coefficients are adde
leonid [27]

The key features of a quadratic graph that can identified are; x and y intercepts, axis of symmetry and vertex

<h3>Keys features of a quadratic graph</h3>

The key features are the x-intercepts, y-intercepts, axis of symmetry, and the vertex.

If we add units we can move this function upwards, downwards leftwards and rightwards.

  • If we add a positive number to the x-variable, then the graph will move to the left.
  • If we add a negative number to the x-variable, then the graph will move to the right.
  • If we add a positive number to y-variable, then the graph will move upwards.
  • If we add a negative number to y-variable, then the graph will move downwards.

Hence, if we compare the rules we use before with linear function, there's no distinction between horizontal and vertical movements, because if we add to x-variable, then y-variable will be also affected.

Learn more about quadratic graphs here:

brainly.com/question/1214333

#SPJ1

7 0
2 years ago
Figure out this 16r^3t^2/-4rt
ElenaW [278]
You mean to simplify as this is an expression not an equation, as it has no equal sign...

Factor our 4 first

(4r^3t^2)/(-rt)

Now factor out -rt

-4r^2t
8 0
3 years ago
Read 2 more answers
A typical cell phone plan has a fixed base fee that’s includes a certain amounts of over a charge
Romashka [77]

The answer is 2)C=30+62(g-2)

6 0
2 years ago
What is the volume of 8x12x10
lakkis [162]

Answer:

960

Step-by-step explanation:

You multiply all of the numbers together to get 960

5 0
2 years ago
Read 2 more answers
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