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Likurg_2 [28]
3 years ago
13

Given each pair of similar triangles find the missing value. of LJK=PQR find x

Mathematics
1 answer:
Svetlanka [38]3 years ago
3 0

Answer:

1

Step-by-step explanation:

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Question one pls<br> algebra 2<br> logarithms
nirvana33 [79]

Condense the logarithm on the right side:

3\log_b(p)-\left(2\log_b(t)+\dfrac12\log_b(r)\right)

n\log_b(m)=\log_b(m^n) \implies \log_b(p^3)-\left(\log_b(t^2)+\log_b\left(r^{\frac12}\right)\right)

\log_b(m)+\log(n)=\log_b(mn) \implies \log_b(p^3)-\log_b\left(t^2r^{\frac12}\right)

\log_b(m)-\log(n)=\log_b\left(\dfrac mn\right) \implies \log_b\left(\dfrac{p^3}{t^2r^{\frac12}}\right)

So,

x=\dfrac{p^3}{t^2r^{\frac12}}

and r^{\frac12}=\sqrt{r}, which makes (4) the correct choice.

4 0
3 years ago
The systolic blood pressure (BP) of adults in the USA is nearly normally distributed with a mean of 121 and standard deviation o
Wittaler [7]

Answer:

Around 0.73% of adults in the USA have stage 2 high blood pressure

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 121 and standard deviation of 16.

This means that \mu = 121, \sigma = 16

Around what percentage of adults in the USA have stage 2 high blood pressure

The proportion is 1 subtracted by the p-value of Z when X = 160. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{160 - 121}{16}

Z = 2.44

Z = 2.44 has a p-value of 0.9927.

1 - 0.9927 = 0.0073

0.0073*100% = 0.73%

Around 0.73% of adults in the USA have stage 2 high blood pressure

5 0
3 years ago
A cylindrical jar has a radius of 5 inches and a height of 9 inches. The jar is filled with marbles that have a volume of 20 in3
Andreyy89

Answer:

a. Volume = π15.02 9.0=6361.73

b. I am very sorry, I don't know

Step-by-step explanation:

5 0
3 years ago
20 points I could vibe with you answering this question ​
kirza4 [7]

Answer: x = 15

Step-by-step explanation:

Since they are similar, corresponding angles are equal

m∠A = m∠E

m∠B = m∠F

m∠C = m∠G

--------------------------------------------------------------------------------------------------------

m∠B = m∠F:

x - 5 = 2/3 x

Solve for x

1/3 x - 5 = 0

1/3 x = 5

x = 15

8 0
3 years ago
What is the answer to this question​
KatRina [158]

Answer:

I believe it'll cut the board at it's own length instead of what actually needs to be cut off.

Step-by-step explanation:

8 0
3 years ago
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