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:

VARVARA [1.3K]3 years ago

6 0

Greetings from Brasil....

As stated in the statement of the question, EF is a bisector of CD, so point G is the median point of CD, so CG = GD

5X - 1 = 7X - 13

X = 6

EF = EG + GF

6X - 4 = EG + 13 x = 6, so

6·6 - 4 = EG + 13

(see attachment)

You might be interested in

HELP ME PLEEEEEEAAAASEEEE!

Archy [21]

Answer:

$2\frac{1}{2}\ liters$

Step-by-step explanation:

step 1

Convert mixed number to an improper fraction

$1\frac{1}{5}=\frac{1*5+1}{5}=\frac{6}{5}$

step 2

Using proportion

$\frac{3}{(6/5)}\frac{liters}{doors} =\frac{x}{1}\frac{liters}{door}\\ \\x=3/(6/5)\\ \\x=15/6\ liters$

step 3

Convert to mixed number

$\frac{15}{6}\ liters=\frac{12}{6}+\frac{3}{6}=2\frac{1}{2}\ liters$

8 0

3 years ago

What is the slope of y-9=3(x-2) A. 3 B. 1/2 C. 2 D. 1/9

pav-90 [236]

Answer:

A. 3

Step-by-step explanation:

y - 9 = 3(x-2)

y = 3x - 6 + 9

y = 3x + 3

slope is 3x = 3

8 0

3 years ago

Read 2 more answers

Inverse of the function h(x)=\dfrac{3}{2}(x-11)h(x)= 2 3 (x−11)h, left parenthesis, x, right parenthesis, equals, start fracti

blagie [28]

Answer:

The inverse function of h(x) = 3/2*(X-11) is: g(x)= (2/3*X) +11

Step-by-step explanation:

h(x) = Y= 3/2*(X-11)

To find the inverse function, the first step is to exchange the position of the variables with each other. So;

X= 3/2*(Y-11)

Now we need to isolate the variable Y from this equation. The final result will be te inverse function.

X=3/2*(Y-11)

2*X=3*(Y-11)

2/3*X=Y-11

2/3*X +11 = Y

Y= (2/3*X) + 11 (Inverse function)

5 0

3 years ago

Read 2 more answers

What is the name of an investment in which deposits are made in fixed dollar amounts at regular intervals?

andrew11 [14]

Answer: periodic investment APEX

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Two middle school classes take a vote on the destination for a class trip. Class A has 25 students, 56% of whom voted to go to S

Kryger [21]

Answer:

The value of n is 15.

Step-by-step explanation:

The combined proportion is computed using the formula:

$P=\frac{n_{A}\cdot p_{A}+n_{B}\cdot p_{B}}{n_{A}+n_{B}}$

The information provided is as follows:

$n_{A}=25\\p_{A}=0.56\\n_{B}=n\\p_{B}=0.60\\P=0.575$

Compute the value of n as follows:

$P=\frac{n_{A}\cdot p_{A}+n_{B}\cdot p_{B}}{n_{A}+n_{B}}$

$0.575=\frac{25\times 0.56+n\times 0.60}{25+n}\\\\0.575(25+n)=14+0.60n\\\\14.375+0.575n=14+0.60n\\\\0.60n-0.575n=14.375-14\\\\0.025n=0.375\\\\n=15$

Thus, the value of n is 15.

6 0

3 years ago