find the value of x in the diagram below

Answer:

5. Angles FGE and CGE are supplementary

6. Angles FGE and BGC are vertical

7. Angles FGE and GED are adjacent

Step-by-step explanation:

Problem 5

Explanation:

The straight line EGB can be decomposed into the angle pieces of angle EGF and angle FGB. Another way we can break this straight angle down is to break it into angle EGA and angle AGB. Whichever route you go for, the smaller angles add back to 180 degrees. There are other possible answers you could go for. Check out the diagram below for a visual of these angles (shown in red)

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Problem 6

Answer: Angle AGB and angle EGD

Explanation:

Focus on lines AD and EB. They intersect at point G. The two lines form the opposite angles AGD and EGD which are considered vertical angles. Whenever we have an X shape like this, we'll have vertical angles in the opposite positions like this. Vertical angles are always congruent. There are other pairs of vertical angles shown in this diagram. Check out the diagram below for a visual of these angles (shown in blue)

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Problem 7

Explanation:

The angles BGC and CGD are right next to each other, so we consider them adjacent. They share the common ray GC. Think of it like two neighbors sharing a common wall in an apartment building. There are other possible answers you could go with as long as the two angles share a common ray or line, and also share a common vertex as well. Check out the diagram below for a visual of these angles (shown in green)

Hello!

So, every interior angle of a regular hexagon measures 120 degrees.

There are six interior angles of a hexagon, so you have to multiply 120 by 6.

120 x 6 = 720

So, the answer to your question is that the sum of the interior angles of a hexagon is 720 degrees.

Hope this helps!

Answer:

12 boys, 36 girls

Step-by-step explanation:

We can use systems of equations to solve this using substitution.

Let b = # of boys in the class

Let g = # of girls in the class

b + g = 48

g=3b

b+(3b)=48

4b=48

b=12

12*3=36

Check:

36+12=48

Answer:

3x + 14

Step-by-step explanation:

Just add them together.

2x + 5 + x + 9

= 3x + 14

Answer:

No the question iant a function

Answer:

Terminating

Step-by-step explanation:

A terminating decimal (0.1) ends and does not continue

A repeating decimal (0.11111...) continues infinitely

Answer:

3/10

Step-by-step explanation:

0.4 - 0.1 = x

there are two ways I can find the answer to this question.

Option 1

0.4 - 0.1 = 0.3 then turn it into a fraction which would be 3/10

or I can turn both into fraction and subtract them

4/10 - 1/10 = 3/10

Both ways would give you the same answer!

I hope this helps!!

Please tell me if I have made any mistakes I enjoy learning form them:)

The value of 0.4 - 0.3 = 0.1 and the fractional form is 3/10

What is a Fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given data ,

Let the equation be A = 0.4 - 0.1

The value of A = 0.4 - 0.1

                         = 0.3

A = 0.3

Multiply by 10 on both sides , we get

10A = 3

Divide by 10 on both sides , we get

A = 3/10

Hence , the fractional form of 0.3 is 3/10

To learn more about fraction click :

https://brainly.com/question/548650

#SPJ5

Answer:

100 blocks.

Step-by-step explanation:

Let x represent number of blocks built by Gage.

We have been given that Colton was 5 times as fast at building the castle than Gage, so number of blocks built by Colton would be .

We are also told that it takes 120 blocks to build the castle. Since Colton and Gage were building a castle together, so number of blocks built by both will be equal to 120.

Hope it helped!

Answer:

7x + 2y = -6

Step-by-step explanation:

Multiply the equation with 2

2 ( y = -7x/2 - 3 )

2y = -7x - 6

7x + 2y = -6

Answer:

  x = 20

Step-by-step explanation:

The interior angles of a regular octagon have measures of ...

  180° -360°/8 = 135°

We want that equal to the given expression.

  7x -5 = 135

  7x = 140 . . . . add 5

  x = 20 . . . . . divide by 7

The value of x is 20.

Answer:

20

Step-by-step explanation:

Regular octagon means that each angle is 135 degrees, so 135 = (7x - 5).

135 = 7x - 5,

135 + 5 = 7x,

140 = 7x,

140 / 7 = x,

20 = x

Answer:

The airplane is 12 ft long.

Step-by-step explanation:

If one inch is 2 feet in real life, if there are six inches, that means there are 12 feet because it is a one to two ratio. :)

Answer:

12 ft

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.25 = 1 1/4

1 1/4 = 5/4

1/2 * 5/4 = 5/8

Answer:

59

Step-by-step explanation:

x= tens place of number

y= ones place of number

set up equations:

"sum of the digit is 14"

sum is the result of addition

x+y=14

"Twice the tens digit exceeds the units digit by one"

2x is bigger than y by 1

if 2x is bigger, then add 1 to the opposite side to balance the equation:

2x=y+1

with 2 equations you can solve for 2 variables:

2x=y+1

2x-1=y

substitute into x+y=14

x+(2x-1)=14

3x-1=14

3x=15

x=5

------

subtitute to find y

x+y=14

5+y=14

y=9

number is 59

Answer:

m = 5

Step-by-step explanation:

200m - 125m + 48,750 = 50,000 - 175m​

=> 75m + 48,750 = 50,000 - 175m​

=> 75m + 175m = 50,000 - 48,750

=> 250m = 1250

=> m = 5

Hoped this helped.

600-40x6=

40x6=240

600-240=360

Answer: 360 (mL) Remain in the jug after 6 seconds.

Hope This Helps.

Answer:

x=1

y=-1

Step-by-step explanation:

they have already isolated y in both equations

label both equations

y=-x............1

y=3x-4........2

sub 1 into 2

-x=3x-4

-x-3x=-4

-4x=-4

x=1........ 3

sub 3 into 1

y=-(1)

y=-1

Answer:

b

Step-by-step explanation:

...

Answer:

I personally think the answer is because if the 60% of the teachers among 30 teachers were first-year teachers,then it would mean the other 40 % of the teachers were recent/ this year teachers.

Answer:

C

Step-by-step explanation: looks right

dont  trust it though

Answer:

follow me on the gram (andrewa223) also the answer is a

Step-by-step explanation:

Answer:

geometric (each term is multiplied by 3)

Step-by-step explanation:

Answer:

<m is equal to the measure of <Z

_______________________________________

Hope this helps!!

Please tell me if I have made a mistake!!

I enjoy learning form them:)

won't it be 3.2 because A square has four sides so you multiply 0.8 by 4

Answer:

you do:

50-15= 35

35÷5=7

so x=7

Answer:

Step-by-step explanation:

The prime factor representation of 150 is 2 x 3 x 5^2