All categories

3 years ago

KM bisects ∠LKJ. If m∠LKM = 4x + 12 and m∠MKJ = 6x - 6, find the value of x. *

Mathematics

1 answer:

riadik2000 [5.3K]3 years ago

6 0

Given that,

KM bisects ∠LKJ.

m∠LKM = 4x + 12 and m∠MKJ = 6x - 6

To find,

The value of x.

Solution,

As KM bisects ∠LKJ. It would mean that,

m∠LKM = m∠MKJ

Putting the above values,

4x+12=6x-6

We can solve the above equations as follows :

4x-6x=-12-6

-2x=-18

x=9

Therefore, the value of x is equal to 9.

You might be interested in

(2³)² solve this problem

max2010maxim [7]

Answer:

$(2^3)^2 = 64$

Step-by-step explanation:

Option 1:

Using the following rule:

$(a^n)^m = a^{nm}$

Put in our expression,

a = 2

n = 3

m = 2

$(a^n)^m = a^{nm}$

$(2^3)^2 = 2^{3*2}=2^6=64$

Option 2:

Using the following rule:

$a^n * a^m = a^{n+m}$

Since our expression is the same as multiplying 2³ with itself, we can write it as a multiplication.

$(2^3)^2 = 2^3 * 2^3$

If we compare this with $a^n * a^m$ , we can see that

a = 2

n = 3

m = 3 (in this case, n and m are equal)

$a^n*a^m = a^{n+m}$

$2^3*2^3 = 2^{3+3} = 2^6 = 64$

Answer: $(2^3)^2 = 64$

7 0

4 years ago

Is this the right answer??

nordsb [41]

Answer:

yes

Step-by-step explanation:

If there are no horizontal points on the graph that are even with other horizontal points on the graph, then the graph is a function.

6 0

3 years ago

Ms.Lopez has created a floor plan of a dollhouse. The area of the entire dollhouse is 576 square inches

harina [27]

Answer:

(a)Area of the bedroom=96 square inches

(b)Area of the living room =144 square inches

(c)Area of the dollhouse that is not of the bedroom or living room =336 square inches.

Step-by-step explanation:

The area of the bedroom is 1/6 the area of the entire dollhouse

The area of the living room is 3/2 times the area of the bedroom.

The area of the entire dollhouse is 576 square inches

Let the area of bedroom=b

Let the area of living room=l

(a) The area of the bedroom is 1/6 the area of the entire dollhouse

$b=\frac{1}{6}X576=96$ square inches

(b)The area, in square inches, of the living room

The area of the living room is 3/2 times the area of the bedroom

l= $\frac{3}{2}X96=144$ square inches

(c)The total area of the house =576 square inches

Area of the bedroom=96 square inches

Area of the living room =144 square inches

Area of the dollhouse that is not of the bedroom or living room

=576-(96+144)=576-240=336 square inches.

The area of the living room is 3/2 times the area of the bedroom

This is gotten by subtracting the area of the bedroom and living room from the total area of the house.

3 0

4 years ago

Marc wants to guess how many marbles are in a box that has a height of 18 inches. He calculates that there are 32 marbles in a h

Rainbow [258]

So every 5 inches in height, there are 32 marbles. You want to know how many marbles there are per 18 inches in height.

$\frac{32}{5} = \frac{x}{18}$

To get from 5 to 18, you multiply by 3.6.

Do the same thing to the numerator; 32 × 3.6 = 115.2.

Since 0.2 marbles is no marbles, you round down.

There are 115 marbles in the box.

♡ Hope this helps! ♡

❀ 0ranges ❀

8 0

3 years ago

An owner of a small store knows that in the last week 54 customers paid with cash, 42 paid with a debit card, and 153 paid with

goblinko [34]

Answer:

Step-by-step explanation:

54 customers paid with cash

42 paid with debit card

153 paid with credit card

Add them up to find the total amount of people:

54 + 42 + 153 = 249

Now write 54(the number of customers who paid with cash) as a fraction over the total, 249.

54/249

So the probability that customers will pay cash is 54/249 or 18/83

8 0

3 years ago