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aev [14]
4 years ago
7

Line a is a perpendicular bisector of line segment K M. It intersects line segment K M at point L. Line a also contains point N.

Line segment K L is 9 x +5. Line segment K N is 14 x minus 3. What is the length of segment LM? units

Mathematics
2 answers:
Helen [10]4 years ago
8 0

The answer is 23 units. I got this answer right on this question, if this do help please tap the heart or comment that this helped you. : ) have a lovely day

ASHA 777 [7]4 years ago
7 0

Answer:

The value of segment LM is 9x + 5.

Step-by-step explanation:

Consider the image below.

A perpendicular bisector is a line segment that bisects another line segment into two equal parts and is perpendicular to this line segment.

So from the diagram below we know:

KL = LM

line <em>a</em> is ⊥ to KM

∠NLK = 90°

Since the angle measure of ∠NKL is not provided we cannot determine the value of <em>x</em>.

So, the value of segment LM is 9x + 5.

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9 (10+3)

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Asako deposits $1000 into a bank account that pays 1.5% interest compounded annually. Which inequality can she use to determine
statuscvo [17]

Answer:

Option D

Step-by-step explanation:

Given question is incomplete; here is the complete question.

Asako deposits $1000 into a bank that pays 1.5% interest compounded annually. Which inequality can she use to determine the minimum time in years 't' she needs to wait before the value of the account is 20% more than its original value?

A. 1000 . 1.01t > 1200

B. 1000 . 1.01t > 1.2

C. 1.015^t>1200

D. 1.015^t>1.2

Formula to get the final amount by compounding is,

Final amount = \text{Initial amount}\times(1+\frac{r}{n})^{nt}

Here, r = rate of interest

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t = Time or duration of investments (In years)

Initial amount = $1000

Final amount = 20% more than its original value = $(1000 + 0.2×1000) = $1200

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Inequality that represents the final amount 20% more than the initial value,

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