All categories

3 years ago

In rectangle FGHI, diagonals FH and GI intersect at E. G F E H I • IE = 3x + 4 • EG = 5x - 6 What is the length of FH ?

Mathematics

1 answer:

timurjin [86]3 years ago

3 0

Answer:

FH = 38

Step-by-step explanation:

Here, given the point of intersection of the two diagonals at E, we want to calculate the length of FH

The point of intersection of the diagonals is the midpoint of each as the diagonals bisect each other

thus,

3x + 4 = 5x - 6

5x-3x = 6+ 4

2x = 10

x= 10/2

x = 5

but Eg is 5x-6

and FH = 2EG

FH = 2(5x-6)

FH = 10x - 12

Substitute x = 5

FH = 10(5) -12

FH = 50-12

FH = 38

You might be interested in

Xanthia can read 100 pages per hour and Molly can read 50 pages per hour. If they each read the same book, and the book has 225

Talja [164]

Answer:

135 minutes

Step-by-step explanation:

Let

y -----> the number of pages to finish reading the book

x ----> the number of hours

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the unit rate or slope of the linear equation

b is the y-intercept or initial value

In this problem we have

<em>Xanthia</em>

$m=100\ pages/hour$

$b=225\ pages$

$y=-100x+225$ ----> the slope is negative because is a decreasing function

For y=0

substitute and solve for x

$0=-100x+225$

$100x=225$

$x=2.25\ hours$ ---> Xanthia's time to finish reading the book

<em>Molly</em>

$m=50\ pages/hour$

$b=225\ pages$

$y=-50x+225$ ----> the slope is negative because is a decreasing function

For y=0

$0=-50x+225$

$50x=225$

$x=4.5\ hours$ --- Molly's time to finish reading the book

To find out how many more minutes than Xanthia would it take for Molly to finish reading the book, subtract Xanthia's time from Molly's time

$4.5\ h-2.25\ h=2.25\ h$

Convert to minutes

Multiply by 60

$2.25\ h=2.25(60)=135\ minutes$

4 0

3 years ago

Read 2 more answers

What is fraction form for 47/100

Ivanshal [37]

Answer:

47/100

Step-by-step explanation:

It is already in fraction form.

5 0

3 years ago

Read 2 more answers

KL = 8x-5 and LM = 6x+3

Burka [1]

The answer is x=4.
set the equations up: 8x-5=6x-3
Subtract 6x from one side and then the other side 2x-5=3
Add 5 from one side and then the other 2x=8
Divide 2 on each side which gets you x=4

4 0

3 years ago

Read 2 more answers

Numbers 50, 42, 35, 2x + 10, 2x -8, 12, 11,8 are written in descending order and their median is 25, find x.

Natalija [7]

Answer:

Step-by-step explanation:

25=mean of (5th+6th value)

25=1/2*(2x-8+2x+10)

25=1/2*4x+2

4x+2=50

4x=48

x=12

PLZ MARK AS BRAINLIEST

6 0

3 years ago

Read 2 more answers

Stanley is having trouble understanding how to find the GCF

soldier1979 [14.2K]

Answer:

Step-by-step explanation:

All the factors of 8 and 16 are 1;2;4;8

3 0

3 years ago

In rectangle FGHI, diagonals FH and GI intersect at E. G F E H I • IE = 3x + 4 • EG = 5x - 6 What is the length of FH ?​

In rectangle FGHI, diagonals FH and GI intersect at E. G F E H I • IE = 3x + 4 • EG = 5x - 6 What is the length of FH ?