All categories

3 years ago

If EF - 3x - 11, FG = 4x-10, and EG - 28, find the values of x, EF, and FG. The drawing is not to scale.

Mathematics

1 answer:

Gnom [1K]3 years ago

4 0

Answer:

Part 1) $x=7$

Part 2) $EF=10\ units$

Part 3) $FG=18\ units$

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the value of x

we know that

$EG=EF+FG$ ---> by addition segment postulate

we have

$EG=28\ units\\EF=3x-11\\FG=4x-10$

substitute

$28=(3x-11)+(4x-10)$

solve for x

$28=7x-21$

$7x=28+21$

$7x=491$

$x=7$

step 2

Find the value of EF

$EF=(3x-11)$

substitute the value of x

$EF=3(7)-11=10\ units$

step 3

Find the value of FG

$FG=(4x-10)$

substitute the value of x

$FG=4(7)-10=18\ units$

You might be interested in

Consider the volume of the region shown below, which shows a right circular cone with top radius 3 cm and height 10 cm. We have

koban [17]

I have the same problem here with a slight change in the given values:

radius is 2 & height of 6 indicates the bounding line is y = 3 x---> x = y / 3....

thus the [ π radius ² thickness ] yields π (y² / 9 ) dy , y in [ 0 , 6 ] for the volume... 

a Riemann sum is then : y_i = 0 + i [ 6 / n ] = 6 i / n , i = 1,2,3...n and do a right side sum

π Σ { i = 1,2,3..n } [ 36 i² / 9 n² ] [ 6 / n ]

I hope my guide has come to your help. God bless and have a nice day ahead!

5 0

3 years ago

5 ( n - 7 ) = 2 ( n + 14 )

wariber [46]

Answer:

n=21

Step-by-step explanation:

We must find n.

Remember PEMDAS. First we must do the Parentheses. Lets do distributive property by multiplying a number that is immediately outside the parentheses with each number inside the parentheses. Lets do this one side at a time.

First lets do 5(n - 7). We get 5n - 35

Now 2(n + 14) is 2n + 28

Okay...... now we have $5n-35=2n+28$