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BARSIC [14]
3 years ago
10

How do you solve the problem

Mathematics
1 answer:
atroni [7]3 years ago
8 0
Since the two labelled angles are corresponding angles, they are equal.
10x = 9x + 10
Subtract both sides by 9x 
x = 10
Also, if you need to know, the angle length is 100 degrees.

Have an awesome day! :)
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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
Ben has b dollars. Cam has 7 fewer dollars than ben. How many dollars does cam have?
aleksley [76]

Answer:

b - 7 = the amount of money Cam has

Step-by-step explanation:

We don't know how much money ben has so we have to subtract 7 from <em>b</em> to find the amount of money Cam has.

Hope this helps!

5 0
3 years ago
Read 2 more answers
Choose the best estimate for the length of a piece of notebook paper.
Fynjy0 [20]

Answer:

11 in

Step-by-step explanation:

Standard paper is 11 x 8 inches

5 0
3 years ago
Read 2 more answers
Dane is investing $150,000 for 30 years at an annually compounded rate of 5.5%. What is the difference between his ending accoun
navik [9.2K]
<span>Total = Principal × ( 1 + Rate )<span>^years
</span></span><span>Total = 150,000 * (1.055) ^ 30
</span>Total = 150,000 * <span> <span> <span> 4.9839512884
</span></span></span>Total = <span> <span> <span> 747,592.69</span></span></span>

<span>Total = 150,000 * (1.065) ^ 30
</span><span><span><span>Total = 150,000 * 6.614366163 </span> </span> </span>
<span>Total = 992,154.92</span>

Difference = 992,154.92 -<span>747,592.69 =
</span><span>244,562.23 </span>

Source:
http://www.1728.org/compint.htm
online interest calculator



7 0
3 years ago
Michelle is trying to factor the following to its most simplified form : 4x^2 - 36
max2010maxim [7]
4(x-3)*(x+3)

" * " means times
5 0
3 years ago
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