Mathematics High School

Geometry
B.5 Additive property of length 7RA
You have prizes to reveal! Go to your game board. X
If EF = 2x, FG = 8, and EG = 4x, what is ER?
E
F
G
2x
4x
Simplify your answer and write it as a proper fraction, mixed number, or integer.
Submit

GeometryB.5 Additive Property Of Length 7RAYou Have Prizes To Reveal! Go To Your Game Board. XIf EF =

Answers

Answer 1

Answer:

EF = 8

Step-by-step explanation:

The following data were obtained from the question:

EF = 2x

FG = 8

EG = 4x

EF =?

To obtain the value of EF, we shall first, obtain the value of x. This can be obtained as follow:

EG = EF + FG

EF = 2x

FG = 8

EG = 4x

4x = 2x + 8

Collect like terms

4x – 2x = 8

2x = 8

Divide both side by 2

x = 8/2

x = 4

Therefore, the value of x is 4.

Finally, we shall determine the the value of EF as follow:

EF = 2x

x = 4

EF = 2x

EF = 2(4)

EF = 8

**** Check ****

EG = EF + FG

EF = 2x

EG = 4x

FG = 8

4x = 2x + 8

x = 4

4(4) = 2(4) + 8

16 = 8 + 8

16 = 16

Related Questions

Evaluate the expression 2(a - 5) + 2, for a=15

Answers

Answer:

This expression equals 22

Step-by-step explanation:

2(a-5)+2 a=15

2(15-5)+2

2(10)+2

20+2

=22

7. Evaluate this expression if x=-2*
3x2 - 4x

Answers

Answer: x=0 or x= -5/6

Step-by-step explanation: x=((−2)(3))(x2)−4x

How different is Algebra 2 from Pre-Calculus? I've heard that they're almost the same, is that true? Also what topics do you learn in Pre-Calculus?

Answers

Answer:

Algebra is just algebra but precalculus has algebra and other things. I forget what its called but I think in precalculus you also learn beginner level trigonometry and some other things. I know its not an exact answer but I hope it helps.

1 × 10 + 7 × 1 + 2 × 0.1 in unit from

Answers

Step-by-step explanation:

1×10+7×1+2×0.1

= 10+7+0.2

= 17.2

frank is 5 years younger than twice the age of his cousin Alonso. Frank is 17 years old. Which equation could be used to determine a, alonzos age?

Answers

Answer:

Hi there!

Your answer is:

17= 2A-5

Alonzo is 11

Step-by-step explanation:

Frank=2A -5

Frank = 17

17= 2A-5

A = Alonzo's age

Alonzo's age is:

17= 2A-5

+5

22 = 2A

/2

11= A

Endpoint: (-4,-10), midpoint (5.-8)
What is the other endpoint?

Answers

Answer:

Step-by-step explanation:

(x - 4)/2 = 5

x - 4 = 10

x = 14

(y - 10)/2= -8

y - 10 = -16

y = -6

(14, -6)

Solve the equation 2/3x+5=3 pls and thx :)

Answers

Answer:

x = - 3

Step-by-step explanation:

Given

[tex]\frac{2}{3}[/tex] x + 5 = 3 ( subtract 5 from both sides )

[tex]\frac{2}{3}[/tex] x = - 2 ( multiply both sides by 3 to clear the fraction )

2x = - 6 ( divide both sides by 2 )

x = - 3

7x+15=4x+66
solve for x.

Answers

Answer: x=17

Step-by-step explanation:

7x + 15 = 4x + 66    Subtract 4x from both sides

-4x         -4x

3x + 15 = 66    subtract 15 from both sides

      -15     -15

3x =  51   Divide both sides by 3

x= 17

I NEED HELP WITH THIS ASAP!!

Answers

Answer: 78°

Step-by-step explanation:

Looking at the picture, we can tell that ∠ACD and ∠DCB are supplementary angles. This means, they are equal to 180°. With that, we can find x and plug it into ∠DCB.

4x+2+3x+3=180            [combine like terms]

7x+5=180                       [subtract both sides by 5]

7x=175                           [divide both sides by 7]

x=25

Now that we know x=25, we can plug it in to find ∠DCB.

3(25)+3                         [multiply]

75+3                               [add]

78

Now, we know ∠DCB is 78°.

[tex] \sf\huge {\dag Question } [/tex]

[tex] \qquad \qquad [/tex] "Diagram"

Determine the value of m∠DCB.

[tex] \sf\huge { \dag Solution } [/tex]

Here, in the diagram it is forming supplementary angle,

[The two angles that gives 180° when they add up are called]

So, we can conclude that,

[tex] \sf { \angle DCA + \angle DCB = 180°} [/tex]

[tex] \sf { 4x + 2 + 3x + 3 = 180°} [/tex] [ Put the values and formed the suitable equation. ]

[tex] \sf { \implies 4x + 3x + 2 + 3 = 180°} [/tex]

[tex] \sf { \implies 7x + 5 = 180°} [/tex]

[tex] \sf { \implies 7x = 180° - 5} [/tex]

[tex] \sf { \implies 7x = 175} [/tex]

[tex] \sf\red { \implies x = \cancel{\dfrac{175}{7}} = 25°} [/tex]

Value of x is 25°.

Now, put the value in the expression 3x + 3 (measurement of m∠DCB)

[tex] \sf { \longrightarrow 3x +3}[/tex]

[tex] \sf { \longrightarrow 3 \times 25 +3}[/tex]

[tex] \sf { \longrightarrow 75 +3}[/tex]

[tex] \sf { \longrightarrow 78}[/tex]

[tex] \therefore [/tex] The value of m∠DCB is 78°.

________________________________

four-fiths of a number minus two is greater then three-tenths of twice of that number

Answers

Answer:

Step-by-step explanation:

4/5 x - 2 > 3/10 * 2x

4/5 x - 2 > 3/5 x

4/5 x - 2 - 3/5x> 0

1/5x > 2

x > 10

¿Cuánto es 20% de 500?​

Answers

Answer:

100

Step-by-step explanation:

20% = 0.2

0.2 * 500 = 100

Answer:

100

Step-by-step explanation:

[tex]20\% \:es\:500[/tex]

[tex]\frac{20}{100}\times 500\\[/tex]

Convertir elemento a fracción

[tex]500=\frac{500}{1}\\\\=\frac{500}{1}\times \frac{20}{100}[/tex]

Factor común de cancelación cruzada 100

[tex]=\frac{20}{1}\times \frac{5}{1}\\\\=\frac{20\times \:5}{1\times \:1}\\\\=\frac{100}{1}\\\\=100[/tex]

Amira is told there is a trick to finding the slope within an equation in standard form, Ax+By=C. She is told she can rewrite this equation in slope-intercept form, y=mx+b, to find the pattern. She correctly rewrites the equation 7x+9y=14 in slope-intercept form as y=− 7/9x +14/9. Which answer explains the pattern for how to find the slope using an equation in standard form?


A. In slope-intercept form, the slope is 14/9. These values are C and A, but with the opposite sign, so the slope of the line from the equation in standard form is − C/A.

B. In slope-intercept form, the slope is − 7/9. These values are A and B, but with the opposite sign, so the slope of the line from the equation in standard form is − A/B.

C. In slope-intercept form, the slope is 14/9. These values are C and B, but with the opposite sign, so the slope of the line from the equation in standard form is − C/B.

D. In slope-intercept form, the slope is − 7/9. These values are A and B, but with the opposite sign, so the slope of the line from the equation in standard form is − B/A.

Answers

Answer:

B. In slope-intercept form, the slope is − 7/9. These values are A and B, but with the opposite sign, so the slope of the line from the equation in standard form is − A/B.

Step-by-step explanation:

Let's convert the standard equation into slope-intercept form:

Ax + By = C              ⇒ subtract Ax from both sidesBy = -Ax + C             ⇒ divide both sides by By = -A/Bx + C/B        ⇒ converted to slope- intercept form

As we see the slope is -A/B

The equation 7x + 9y = 14 is converted as:

y = -7/9x + 14/9, where the slope is -7/9

Looking at the answer options and the correct one is option B, where both identification of slopes match.

B. In slope-intercept form, the slope is − 7/9. These values are A and B, but with the opposite sign, so the slope of the line from the equation in standard form is − A/B.

What is the answer for 5-(6-3) ?

Answers

Answer: 2

Step-by-step explanation:

5-(6-3)

5-(3)

2

Answer:

2

Step-by-step explanation:

First you need to take away the 5 and set it to the side then take the (6-3) and subtract the 3 from the 6 which gives you 3.

Next you need to subtract 3 from 5 giving you the answer of 2.

-8x + 10y + 16x - 2y
Simplify and show work

Answers

Answer:

8x+8y

Step-by-step explanation:

Cameron challenges you to race on the first turn you run off the Course and your car strikes a large bale of hay. your car still produces 5000 Newtons of force but now it accelerates at 2 m\s2. what is the mass of your car now that the bail of hay is stuck to it?

F= ?
M= ?
A = 2m /s2

​

Answers

How is it possible to find an answer with only one given

Yesterday Lou and $12.76 selling lemonade and $4.87 selling ice pops at his stand today bought two pizzas for five dollars each how much money does he have left

Answers

Answer:

7.89

Step-by-step explanation:

Subtract on calculator bro!

Answer:

its 7.63

Step-by-step explanation:

A collection of objects, places, or people with common properties or qualities is called a ______. set median data mean

Answers

Answer:

collection of data

Step-by-step explanation:

A. x=10
B. x=11
C. x=30
D. x=50

Answers

Answer:

[tex] \boxed{\sf A. \ x = 10 \degree} [/tex]

Given:

∠AOC = 90°

∠AOB = 3x° + 46°

∠BOC = 14°

To Find:

Value of x

Step-by-step explanation:

∠AOC = ∠AOB + ∠BOC

90° = 3x° + 46° + 14°

90° = 3x° + 60°

3x° + 60° = 90°

3x° = 90° - 60°

3x° = 30°

x = [tex] \sf \dfrac{30}{3} [/tex]°

x = 10°

3(2 exponent2 +4) help

Answers

Answer:

16

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

What is a requirement of complementary angles?

Answers

Answer:

Complementary angles always create a right angle and measure to 90°.

Answer:

The measures of complementary angles must add up to 90°.

(FLVS)

Step-by-step explanation:

6. BIRDS A bird call manufacturer sold 8 · 4 · 4 · 8 · 4 calls in two months. How many calls did the manufacturer sell? 7. RIVER The St. Johns River is 2 · 5 · 31 miles long. About how many miles long is the river? 16. HEIGHT The table shows the heights of four sixth grade students. Find the prime factorization of each height. Student Height (in.) Oksana 59 Silvia 62 Joseph 64 Diego 66

Answers

Answer: 4

Step-by-step explanation:

The answer is 4 hope this helps

Long division always uses the same pattern of steps. Explore several different problems to discover this pattern. What is the step that follows multiplication? divide multiply subtract bring down

Answers

Answer:

Subtract

Step-by-step explanation:

I did the problem

20 = X + 1
Ggggggggggggg

Answers

Step-by-step explanation:

20=X+1

X=20-1

X=19

PLS MARK ME AS THE BRAINLIEST

Answer:

/

Step-by-step explanation:

sos pls someone help me

Answers

Answer:

The correct answer is 4.67 X 10^-5

Step-by-step explanation:

Because when you have scientific notation you have to have a number that is bigger than 0 but less than ten and it has to be positive or else it isnt going to work

Can i be brainliest

4y -5xz
what type of polynomial is this and what degree is it

Answers

Answer:

what are the answers?

Step-by-step explanation:

I'm tryna find the sum ​

Answers

Answer:

9x + 4

Step-by-step explanation:

Combine like terms which are 5x and 4x and 6 and -2

If angle ABC is bisected by ray BD such that ABD = 32, what is the measure of Angle DBC?

Answers

Answer:

32

Step-by-step explanation:

If an angle is bisected, then both parts are equivalent to each other making both angles the same thing.

(x divided by 3) - 6. it’s a divided by sign i just don’t have it. but written in a word phrase

Answers

Answer:

Step-by-step explanation:

- x over 3

What is the slope of the line that passes through the points A(-2,3) and B(-12,6)?

Answers

Answer:

The answer is

[tex]- \frac{3}{10} [/tex]

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A(-2,3) and B(-12,6)

The slope is

[tex]m = \frac{ 6 - 3}{ - 12 - - 2} = \frac{3}{ - 12 + 2} \\ = - \frac{3}{10} [/tex]

We have the final answer as

[tex]- \frac{3}{10} [/tex]

Hope this helps you

Work is attached in the image below.

N + 8 = -9 what is “N”

Answers

N = -17 because you would subtract 8 from 9 and get -17

The equivalent value of the expression is N = -17

Given data ,

Let the equation be represented as A

Now , the value of A is

N + 8 = -9

On simplifying the equation , we get

N + 8 = -9

So , the left hand side of the equation is equated to the right hand side by the value of ( -9 )

Subtracting 8 on both sides of the equation , we get

N = -9 - 8

On further simplification , we get

N = -17

Therefore , the value of N = -17

Hence , the expression is N = -17

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ6

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