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3 years ago

Based only on the information given in the diagram it is guaranteed that RST UVW

Mathematics

3 answers:

V125BC [204]3 years ago

7 0

Answer: The answer is True (APEX)

lapo4ka [179]3 years ago

6 0

Answer:

The triangles are similar

Step-by-step explanation:

We are given and two angles so by default we know the third angle. We know the three angles are the same, so the triangles are similar by AAA. We do not about conqruency without a side length.

Qb-9

2 years ago

Answer is TRUE

Qb-92 years ago

0 0

TRUE

For Apex
Jus took test cuz

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The area of a circle is 132.7 square cm. Find the diameter.

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This is what I got:

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2 years ago

The GCD(a, b) = 9, the LCM(a, b)=378. Find the least possible value of a+b.

denis-greek [22]

$\mathrm{gcd}(a,b)=9\implies9\mid a\text{ and }9\mid b\implies9\mid a+b$

which means there is some integer $k$ for which $a+b=9k$ .

Because $9\mid a$ and $9\mid b$ , there are integers $n_1,n_2$ such that $a=9n_1$ and $b=9n_2$ , and

$\mathrm{lcm}(a,b)=\mathrm{lcm}(9n_1,9n_2)=9\mathrm{lcm}(n_1,n_2)=378\implies\mathrm{lcm}(n_1,n_2)=42$

We have $42=2\cdot3\cdot7$ , which means there are four possible choices of $n_1,n_2$ :

1, 42
2, 21
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6, 7

which is to say there are also four corresponding choices for $a,b$ :

9, 378
18, 189
27, 126
54, 63

whose sums are:

387
207
153
117

So the least possible value of $a+b$ is 117.

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3 years ago

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