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ohaa [14]
3 years ago
5

Estimate the product. Choose a method. 33 x 76

Mathematics
1 answer:
Anna [14]3 years ago
6 0
OK 33*76= 2508 if that is your question if its not tell me and i will see what i can do
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A child is 4.5 ft tall and casts a 6 ft shadow. A nearby statue casts a 12 ft shadow. What is the hight of the statue?
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In ABC, A = 4x, B = 3x + 1, C = 7x + 11. List the sides of ABC in order from shortest to longest.
BlackZzzverrR [31]

Sum of all angles of a triangle is equal to 180°. Therefore,

A + B + C = 180

Given that, A = 4x, B = 3x + 1, C = 7x + 11.

Hence, we can set up an equation as following:

4x + 3x + 1 + 7x + 11 = 180

14x + 12 = 180 Combine the like terms.

14x + 12 -12 = 180 - 12 Subtract 12 from each sides.

14x = 168

\frac{14x}{14} =\frac{168}{14} Divide each sides by 14.

So, x= 12.

Now by plug in x=12 in the given expressions of A, B and C we can get the measure of eah angles of the triangle. Therefore,

A = 4x = 4(12) = 48

B= 3x + 1= 3(12) + 1 = 36 + 1 = 37

C= 7x + 11 = 7(12) + 11 = 84 + 11 =95

From the above result we can see that C is the largest angle and B is the smallest angle.

There is a relationship of a triangle which state that the largest side is opposite side of the largest angle and similarly smallest side is opposite side of the smallest angle.

Here AB is the opposite side of the largest angle C. So, AB is the largest side.

Similarly AC is the smallest side.

So, the order from shortest to longest is B: AC, BC, AB

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3 years ago
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Nutka1998 [239]

Question:

Solution:

The solution to a system of linear equations is where the graphs of each linear equation intersect. In this case, we can see that the lines intersect at the point:

(-3,2)

thus, the correct answer is (-3,2).

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1 year ago
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