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3 years ago

Your help is very much appreciated I will mark brainliest:)

Mathematics

1 answer:

maxonik [38]3 years ago

6 0

Answer:

B. Yes. By SSS~

Step-by-step explanation:

From the diagram given, we have the corresponding sides of both triangles as follows:

RQ/KL = 24/20 = 6/5

QP/LM = 18/15 = 6/5

RP/KM = 12/10 = 6/5

From the above, we can see that the ratio of the corresponding side lengths of both triangles are equal. This means that all three sides of one triangle are proportional to all corresponding sides of the other triangle.

The SSS similarity theorem states that if all sides of one triangle are proportional to all corresponding sides of another, then both triangles are similar to each other.

Therefore, ∆KLM ~ ∆RQP by SSS similarity.

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10 - 2 (3x + 4) < 11

Effectus [21]

Answer:

x > - $\frac{3}{2}$

Step-by-step explanation:

Given

10 - 2(3x + 4) < 11 ← distribute and simplify left side

10 - 6x - 8 < 11

2 - 6x < 11 ( subtract 2 from both sides )

- 6x < 9

Divide both sides by - 6, reversing the symbol as a result of dividing by a negative quantity.

x > $\frac{9}{-6}$ ⇒ x > - $\frac{3}{2}$

6 0

3 years ago

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A study involves 669 randomly selected deaths, with 31 of them caused by accidents. construct a 98% confidence interval for the

Alekssandra [29.7K]

Answer:

Confidence Interval : 2.72% < p < 6.48%

Step-by-step explanation:

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Number of deaths caused by accident = 31

$\text{Sample Proportion, p = }\frac{31}{669}=0.046$

z-score for 98% confidence level = 2.326

$\text{Margin of Error = }z\times \sqrt{\frac{p\cdot (1-p)}{n}}\\\\\text{Margin of error = }2.326\times \sqrt{\frac{0.046\times 0.954}{669}}\\\\\implies\text{Margin of error = }0.0188$

Confidence Interval : 0.046 - 0.0188 < p < 0.046 + 0.0188

: 0.0272 < p < 0.0648

: 2.72% < p < 6.48%

Hence, Confidence Interval : 2.72% < p < 6.48%

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3 years ago

What is the principal square root of 81? A. 9 B. -3 C. 3 D. -9

guajiro [1.7K]

Answer:

I think A is the correct answer

Step-by-step explanation:

7 0

3 years ago

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The graph of a system of inequalities is shown. 17-5-5 -3-2-11 1 HELP ....

stepladder [879]

Answer: the answer is A.

Step-by-step explanation:

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3 years ago

Find the missing angle measure in each triangle.The first one is done for you.

Korvikt [17]

Answer:

p=41

x=85

f=36

Step-by-step explanation:

All triangles equal 180 degrees, if you have two of the angles in a triangle then all you need to do is add them up, and find the difference between the sum and 180

For example:

Triangle 2 has one angle that's 54 degrees and the other is 85 degrees

54+85=139

180-139=41

therefore angle p equals 41 degrees.

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3 years ago