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aleksklad [387]
3 years ago
12

The measures of the angles of LMN are in ratio 2:4:6 what are the measures of the angle

Mathematics
1 answer:
iris [78.8K]3 years ago
5 0
The three interior angles of a triangle make a sum of 180
2+4+6=12 there are 12 shares, each share is 180/12=15
so the angles are: 30, 60, 90
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Callie has a new kitten. They can weigh 3 pounds less than half the weight of Callie‘s cat. Together the cat and kitten weigh 18
gavmur [86]

Answer:

The weight of cat is <u>14 pounds</u> and the weight of kitten is <u>4 pounds</u>.

Step-by-step explanation:

Given:

Callie has a new kitten. It can weigh 3 pounds less than half the weight of Callie‘s cat. Together the cat and kitten weigh 18 pounds.

Now, to find the weight of each animal:

Let the cat's weight be x.

And the kitten weight = \frac{x}{2} -3

Total weight of cat and kitten = 18 pounds.

Now, to set an equation to get the weight of each animal:

(x)+(\frac{x}{2}-3)=18

x+\frac{x}{2} -3=18

\frac{2x+x-6}{2} =18

\frac{3x-6}{2} =18

<em>Multiplying both sides by 2 we get:</em>

<em />3x-6=36<em />

<em>Adding both sides by 6 we get:</em>

<em />3x=42<em />

<em>Dividing both sides by 3 we get:</em>

<em />x=14\ pounds.<em />

<em>The weight of cat = 14 pounds.</em>

Substituting the value of x to get the kitten's weight:

\frac{x}{2} -3\\\\=\frac{14}{2}-3\\\\=7-3\\\\=4.

<em>The kitten's weight = 4 pounds.</em>

Therefore, the weight of cat is 14 pounds and the weight of kitten is 4 pounds.

7 0
3 years ago
Evaluate the following expression when x = 3 and y = 4:
SpyIntel [72]
Not 100% sure but I think that it is 14.6
4 0
3 years ago
A trail around a lake is 4 1/4 miles long. What is the length, in feet, of the trail?
Allisa [31]
1 mile= 5280 feet
1/5280= 4.25/x This is a proportion. 
5280 * 4.25= 22440
22440/1= 22440 

4 1/4 miles= 22440 feet

Hope this helps! :D
7 0
3 years ago
Read 2 more answers
What is the value of X?
forsale [732]

Answer:

The horizontal value in a pair of coordinates: how far along the point is. The X Coordinate is always written first in an ordered pair of coordinates (x,y), such as (12,5). In this example, the value "12" is the X Coordinate. Also called "Abscissa"

Step-by-step explanation:

hope this helps sorry if it didn’t

7 0
2 years ago
Change the unit of capacity 12 c = qt
sattari [20]

Answer:

Step-by-step explanation:

Comment

There are 4 cups in a quart.

There are 12 cups in x quarts.

Solution

4/12 = 1 / x                               Cross multiply

4x = 12*1                                  Combine

4x = 12                                     Divide both sides by 4

4x/4 = 12/4

x = 3 quarts

Answer

3 quarts.

3 0
2 years ago
Read 2 more answers
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