All categories

2 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]2 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

Find the five-number summary for the data. {231, 201, 221, 210, 225, 228, 212, 236, 225, 201, 216, 215, 231, 226, 206, 240}

pshichka [43]

Answer:

201, 206, 216, 228, 240

Step-by-step explanation:

4 0

3 years ago

When a number is added to 1/5 of itself, the result is 24. The equation that models this problem is n + 1/5n = 24. What is the v

Zielflug [23.3K]

The answer is 20 since 1/5 of 20 is 4, and 20 + 4 = 24.

7 0

3 years ago

Read 2 more answers

What is the scale factor use to create this dilation?

andrezito [222]

Given Info: "The dashed triangle is the image of the solid triangle"

So the "before" is the large solid triangle and the "after" is the smaller dashed triangle.

The horizontal side of the solid triangle is 15 units. The corresponding side for the dashed triangle is 3 units. Dividing the two values gives: 3/15 = 1/5 = 0.2

Make this value negative. The reason why is due to the fact that we have a sort of reflection going on as we're scaling down the figure.

So the final answer is -0.2

3 0

3 years ago

Una caja en forma de prisma rectangular tiene 10cm3 de volumen.Si la longitud de cada arista se multiplica por 4, ¿cual sera el

Salsk061 [2.6K]

40cm. Por que 10 e 4

4 0

2 years ago

Determine the number of outcomes in the event. Decide whether the event is a simple event or not. A computer is used to select r

Oliga [24]

The probability of selecting a number greater than 8 will be $p=\dfrac{1}{9}$ .

<h3>What is probability?</h3>

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The number of outcomes = { 1,2,3,4,5,6,7,8,9 } = Counts = 9

Favourable outcomes = { 9 } = counts = 1

The probability will be given as:-

$P = \dfrac{1}{9}$

Therefore the probability of selecting a number greater than 8 will be $p=\dfrac{1}{9}$ .

To know more about probability follow

brainly.com/question/24756209

#SPJ1

7 0

1 year 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 ?