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sammy [17]
3 years ago
10

How do i find LM? On number 2 .

Mathematics
1 answer:
Masja [62]3 years ago
4 0
Given: KL is a tangent to the circle.
LM is another tangent to the circle.

We can use the tangent meeting at an external point theorem.
<em>Theorem</em>: <em>The tangent segments to a circle from an external point are equal.
</em>
Thus, we can say KL = LM, as they lie on a common circle, and are tangents to such circle.

4x - 2 = 3x + 3
4x - 3x = 3 + 2
x = 5

Since LM is 3x + 3, we can substitute the value of x to LM to render:
3(5) + 3 = 18

Thus, LM = KL = 18 units.
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3 years ago
Camellia earned $160 over the summer. If you put 80% of earnings into her savings account and spent 75% of the rest on a gift fo
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Answer: She has left over $8.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

<em>Camellia earned $160 and you put 80% of earnings into her savings account: </em>

So, to obtain this number we have to multiply Camellia's earnings by 0.80 (the percentage in decimal form, 80 /100 = 0.80)

$160 x 0.80 = $128 (savings)

If we subtract the number obtained to Camellia's earnings:

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The rest is $32, so we have to multiply it by the percentage in decimal form (75/100=0.75)

$32 x 0.75 (decimal form) = $24

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7 0
3 years ago
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What is the distance between the points (-2,4) and (6,-4), rounded to the nearest tenth
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Answer:

  11.3 units

Step-by-step explanation:

The distance can be found using the distance formula:

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  d = √((6 -(-2))² +(-4-4)²) = √(8² +(-8)²) = √(64·2)

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