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Fantom [35]
3 years ago
14

In a quadrilateral HELP, HE is congruent to LP. What other condition would prove that HELP is a parallelogram?

Mathematics
1 answer:
Sophie [7]3 years ago
7 0

Answer:

HE || LP

Step-by-step explanation:

Given

HE \cong LP

Required

Which proves that HELP is a parallelogram

We have:

HE \cong LP

The given sides must also be parallel i.e.

HE || LP

<em>Hence, (c) is correct</em>

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3 years ago
Which logarithmic equation is equivalent to the exponential equation below?
aleksandr82 [10.1K]

Option B: \ln 6=5 x is the correct answer.

Explanation:

The exponential equation is e^{5 x}=6

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\ln \left(e^{5 x}\right)=\ln (6)

Applying log rule, \log _{a}\left(x^{b}\right)=b \cdot \log _{a}(x) and thus the equation becomes

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Since, we know that, \ln (e)=1, using this we get,

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Hence, the logarithmic equation which is equivalent to the exponential equation e^{5 x}=6 is \ln 6=5 x

Thus, Option B is the correct answer.

7 0
3 years ago
Solutions of the equation 4x2-7x=3x+24
Naily [24]
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3 0
3 years ago
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Please could someone explain how to do question 2)a) (ii)
KonstantinChe [14]

Answer:

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Step-by-step explanation:

Based on the wording of your question, I am assuming you already know that Paul ran 250 metres every 1 minute, and that the ratio is 250:1. To get the second part of the answer, convert metres to kilometres. 0.001*250= 0.25. Paul ran 0.25 kilometres per minute. The ratio of kilometres per minute is 0.25:1. Next, convert minutes to hours. Multiply the entire ratio by 60, as there are 60 minutes in an hour. The ratio of kilometeres per minute is 15:60, and the ratio of kilometres per hour is 15:1, meaning Paul ran 15 kilometres in one hour.

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Rus_ich [418]

Answer:

20 in

Step-by-step explanation:

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Half of 40 in or 40 in ÷ 2 is 20 in.

The radius is 20 in.

5 0
3 years ago
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