All categories

3 years ago

If EF bisects CD.CG = 5x - 1, GD = 7x-13, EF = 6x - 4, and GF = 13. find EG.

Mathematics

1 answer:

Iteru [2.4K]3 years ago

3 0

Answer:

EG = 19

Step-by-step explanation:

* Lets explain how to solve the problem

- If a line bisects another line that means the point of intersection

divides the second line into two equal parts

∵ EF bisects CD at G

∴ CG = GD

∵ CG = 5x - 1

∵ GD = 7x - 13

∴ 7x - 13 = 5x - 1

* Lets solve the equation

∵ 7x - 13 = 5x - 1

- Subtract 5x from both sides and add 13 to both sides

∴ 7x - 5x = 13 - 1

∴ 2x = 12

- Divide both sides by 2

∴ x = 6

- Point G divides EF into two parts EG and GF

∴ EF = EG + GF

∵ EF = 6x - 4

- Substitute the value of x to find EF

∵ x = 6

∴ EF = 6(6) - 4 = 36 - 4 = 32

∴ EF = 32

∵ GF = 13

- Substitute the values of EF and GF in the equation of EF

∴ 32 = EG + 13

- Subtract 13 from both sides

∴ 19 = EG

* EG = 19

esdrssc

2 years ago

where does the 32 come from

You might be interested in

21x-5=7+17x <br> Write it down step by step please

Nat2105 [25]

Answer: x=3

Step-by-step explanation: Step 1: Simplify both sides of the equation.

21x−5=7+17x

21x+−5=7+17x

21x−5=17x+7

Step 2: Subtract 17x from both sides.

21x−5−17x=17x+7−17x

4x−5=7

Step 3: Add 5 to both sides.

4x−5+5=7+5

4x=12

Step 4: Divide both sides by 4.

$\frac{4x}{4}$ = $\frac{12}{4}$

So Final Answer: <u>x=3</u>

<u />

<u>If I Helped, Please Mark Me As Brainliest, Have A Great Day :D</u>

4 0

3 years ago

Read 2 more answers

Can someone help me on this one please thank you

MatroZZZ [7]

Ask SAPPHIREMOON, and they'll give you the answer, because I can't do math

5 0

3 years ago

Read 2 more answers

A agent of receive the 10 percent commission on selling price of house, if the selling price of a house B 10000000 find the actu

Gala2k [10]

Answer:

B 11,000,000

Step-by-step explanation:

Commission was 10 percent, 10 percent of 10,000,000 is 1,000,000, therefore add 1,000,000 to 10,000,000, which equals to 11,000,000

Actual price of house after commission= B 11,000,000

6 0

2 years ago

A family is relocating from St. Louis, Missouri, to California. Due to an increasing inventory of houses in St. Louis, it is tak

Dafna1 [17]

Answer:

a. Assume that the population has a normal distribution.

b. The 90% confidence interval of the mean sale time for all homes in the neighborhood is between 219.31 days and 240.69 days.

Step-by-step explanation:

Question a:

We have to assume normality.

Question b:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.9}{2} = 0.05$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.05 = 0.95$ , so Z = 1.645.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.645\frac{35}{\sqrt{29}} = 10.69$

The lower end of the interval is the sample mean subtracted by M. So it is 230 - 10.69 = 219.31 days.

The upper end of the interval is the sample mean added to M. So it is 230 + 10.69 = 240.69 days.

The 90% confidence interval of the mean sale time for all homes in the neighborhood is between 219.31 days and 240.69 days.

7 0

2 years ago

M(-3,2) is the midpoint of AP. If A has coordinates (-1,5), what are the<br> coordinates of P?

Inessa05 [86]

Answer:

Step-by-step explanation:

If M is midpoint of AP then:

$x_P-x_M=x_M-x_A\qquad\quad\ \wedge\qquad y_P-y_M=y_M-y_A\\\\x_P-(-3)=-3-(-1)\qquad\wedge\qquad y_P-2=2-5\\\\x_P+3=-3+1\qquad\quad\ \wedge\qquad\quad y_P-2=-3\\\\x_P=-3+1-3\qquad\quad\ \wedge\qquad\quad y_P=-3+2\\\\x_P=-5\qquad\qquad\ \wedge\qquad\qquad y_P=-1$

8 0

3 years ago