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Vika [28.1K]
3 years ago
10

Isaiah puts a kilogram weight on a pan balance, how many

Mathematics
1 answer:
lidiya [134]3 years ago
3 0

Isaiah would have to put 10 one-hundred gram weights to balance it out because there are 1000 grams in a kilogram.

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Sara has 37 bugs in her collection she will collect 8 new bugs bevery day. Sara will collect bug for times days for what value o
PtichkaEL [24]
I’m not entirely sure what you’re asking, but i think it would be 9 days
7 0
3 years ago
Veronica tells another classmate that ΔHAT is congruent to ΔPAM because of the AAA Theorem. Is Veronica correct in what she tell
SCORPION-xisa [38]

Answer: Veronica is not correct

Explanation:

The AAA theorem, aka the AA theorem, only applies to similar triangles. We cannot use it to prove two triangles are congruent or not. We would need to know info about at least one pair of sides. So based on this diagram, we don't have enough information to know if triangle HAT is congruent to triangle PAM or not.

A similar example to this is to consider two equilateral triangles. Let's call them triangle A and triangle B. If equilateral triangle A has side lengths of 2, and has side lengths of 10, we can see that the triangles are not congruent. However, the triangles are similar because the corresponding angles equal one another. One triangle is a scaled copy of the other. This example is a counterexample as to why the AAA theorem is not a valid congruence theorem.

3 0
2 years ago
Find the value of the expression 12x+3 1 2 x + 3 if x = 12.
Ganezh [65]

Answer:

The answer is 147

Step-by-step explanation:

12x+3 x=12

12(12)+3

144+3

147

5 0
4 years ago
Four times the first number minus three times the second number is 2. Two times the first number increased by three times the se
Eddi Din [679]

Answer:

First number is -2.5

Second number 5

Step-by-step explanation:

Four times the first number minus three times the second number is 2.

To represent this statement, 4x -3y =2

Two times the first number increased by three times the second is 10.

To represent thsi statement, 2x+ 3y = 10

4x - 3y = 2

2x + 3y =10

4x - 2x = 2x

2x = -5

x= -2.5

The first number is -2.5

By using Substitution

2x + 3y = 10

2(-2.5) + 3y = 10

-5 + 3y = 10

3y = 10 +5

3y =15

y = 5

The second number is 5

....To check my answer

-5 + 15 = 10

4 0
3 years ago
What is the correct order of operations for simplifying the expression (x+3)^2-(x^2+9)/2x^2?
kramer

Answer:

The given expression is simplified as \frac{(x+3)^2-(x^2 +9)} {2x^2}  = \frac{3}{x}

Step-by-step explanation:

Here, the given expression is:

\frac{(x+3)^2-(x^2 +9)} {2x^2}

Now, with ALGEBRAIC IDENTITIES:

(a+b)^2  = a^2 + b^2 + 2ab

Now, similarly: (x+3)^2  = x^2 + (3)^2 + 2x(3)   = (x^2  + 9 + 6x)

Now, substituting the values in the given expression, we get:

\frac{(x+3)^2-(x^2 +9)} {2x^2} \implies \frac{(x^2  + 9 + 6x)-(x^2 +9)} {2x^2}\\=  \frac{(x^2  + 9 + 6x-x^2  -9)} {2x^2} \\=  \frac{ 6x} {2x^2}  = \frac{3}{x}

Hence, the given expression \frac{(x+3)^2-(x^2 +9)} {2x^2}  = \frac{3}{x}

4 0
3 years ago
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