All categories

3 years ago

JKLM is a rectangle. if JL = 4x - 12 and MK = x, what is the value of x? what is the length of each diagonal?

Mathematics

1 answer:

vagabundo [1.1K]3 years ago

6 0

Answer:

x = 4

The diagonals are both 4

Step-by-step explanation:

The fact that the two sides have no letter in common indicates that they are opposite each other or a diagonal. In this case the length is a diagonal. Diagonals in a rectangle are equal.

4x - 12 = x Add 12 to both sides

4x - 12 + 12 = x + 12 Subtract x from each side

4x - x = 12

3x = 12 Divide by 3

3x/3 = 12/3

x = 4

One of the diagonals = 4 because it is x.

You might be interested in

How do you divide 2 digit numbers by 2 digits number?

Novosadov [1.4K]

If the numbers were 50 divided by 12 this is how you would answer it. And I showed the reduced answer too.

8 0

4 years ago

What is the volume of the cylinder shown below?

Anastasy [175]

here's your solution

=> it is given that.

=> height of cylinder = 15unit

=> radius of base = 9unit

=> volume of cylinder = π r^2h cubic unit

 => now, putting the value of height and radius

in above formula

=> volume = 22/7 *9*9*15

=> volume = 36177cubic unit

4 0

3 years ago

If y= -7 when x= -3, find y when x=9

ohaa [14]

if i am right you would multiply x= -3 by -3 and you get 9 so you would do the same thing to the y as well so y= -7 and you multiply it by -3 and then y= 21

8 0

3 years ago

Estimate if this angle is acute or obtuse.

Kay [80]

Obtuse is gonna be ur answer because it's more than 90 degrees!! mark brainliest please!

5 0

3 years ago

Read 2 more answers

What are the x- and y- coordinates of point E, which partitions the directed line segment from J to K into a ratio of 1:4?

Aleks [24]

The x- and y- coordinates of point E, which partitions the directed line segment from J to K into a ratio of 1:4 is (17, 11)

<h3>Midpoint of coordinate points</h3>

The midpoint of a line is the point that bisects or divides the line into two equal parts

If the line JK is partitioned into the ratio 1:4 with the following coordinates

J(-15, -5) and K(25, 15)

Using the expression below;

M(x, y) =[mx1+nx2/m+n, my1+ny2/m+n]

Substitute the ratio and the coordinates

M(x, y) =[1(-15)+4(25)/4+1, 1(-5)+4(15)/1+4]

M(x, y) = [(85)/5, 55/5]

M(x, y) = (17, 11)

Hence the x- and y- coordinates of point E, which partitions the directed line segment from J to K into a ratio of 1:4 is ((17, 11)

Learn more on midpoint of a line here: brainly.com/question/5566419

#SPJ1

3 0

2 years ago