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babymother [125]
3 years ago
9

a square measuring 9 inches by 9 inches is cut from a corner of a square measuring 15 inches by 15 inches. what is the area of t

he L shaped figure that is formed?
Mathematics
1 answer:
AVprozaik [17]3 years ago
3 0
First, find the area of each figure. Then subtract the smaller area from the larger area. Your work should look something like this:

A = l * w
A = 9 * 9
A = 81

This is the area of the smaller square. Now find the area of the larger square. 
A = l * w
A = 15 * 15
A = 225

Now subtract the two areas to find the area of the shape that is left when the smaller square is cut out. 

225 - 81 = 144 

Your final answer should be:
144 in^2
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1)fred eats 4 cups of brain flavored tofu each day. how many gallons does he eat every week?
denis-greek [22]

Answer: 1) 28 cups; 2)1.6 \frac{tablespoons}{minute}


Step-by-step explanation:

1) - As you know, there are 7 days in a week.

- Then, if Fred eats 4 cups of brain flavored tofu each day, you can calculate the amount he eats every week (which you can call x) by multiplying 4 cups by 7:

x=(4cups)(7)\\x=28cups

- Convert the result from cups to gallons:

x=(28cups)(\frac{0.0625gallons}{1cup})\\x=1.75gallons

2) - There are 60 minutes in an hour.

- Karen eats 3 pints of ice cream in an hour, therefore, she eats 3 pints in 60 minutes.

- You need to divide 3 pints by 60 minutes to calculate the amount she eats in an hour (which you can call y) by dividing 3 pints by 60 minutes:

y=\frac{3pints}{60minutes}

y=0.05\frac{pints}{minute}

- Convert the result to tablespoons:

y=(0.05pints)(\frac{32tablespoons}{1pint}=1.6tablespoons}

 - The answer is: 1.6\frac{tablespoons}{minute}

3 0
3 years ago
Please help me <br> 10 points
erastova [34]

Let us prove that angle 1 is complementary to angle 3 step by step.

1. We have been given that angle 1 is complementary to angle 2.

2. Since we know that complementary angles add up to 90 degrees, therefore, by the definition of complementary m\angle 1+ m\angle 2=90^{o}.

3. We have been also given that line segment  BD bisects \angle ADC.                

4. By the definition of bisect \angle 2 \cong \angle 3.

5. Angles are congruent if their measures, in degrees, are equal, therefore, by angle congruence postulate  m\angle 2=m\angle 3.        

6. m\angle 1+ m\angle 2=90^{o}

Upon substituting m\angle 2=m\angle 3 in above equation we will get,

m\angle 1+ m\angle 3=90^{o}  

Therefore, by substitution property of equality m\angle 1+ m\angle 3=90^{o} .

Hence, proven that angle 1 is complementary to angle 3.

4 0
4 years ago
What is the greatest common factor of 8x and 40?
Salsk061 [2.6K]

Answer:5

Step-by-step explanation:

3 0
4 years ago
Heeeeeeeeelp plissee!!!
taurus [48]
8. C

9. C

10. A

Hope this helped!
5 0
3 years ago
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