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3 years ago

Prove the LL theorem for right triangles

Mathematics

1 answer:

FinnZ [79.3K]3 years ago

4 0

Answer:

Leg Leg or LL Theorem is the theorem which can be used to prove the congruence of two right triangles.

Step-by-step explanation:

if the legs of one right triangle are congruent to the legs of another right triangle them the two right triangles are congruent the principal is known as leg leg theorem. Hope this helps!!!

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Joe heard from a reliable source that only 22% of people actually sleep 8 hours or more per night. You do a survey and find 58 o

Juliette [100K]

Answer:

95% Confidence interval: (31.32%,47.04%)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 148

Number of people who sleep for 8 hours or longer, x = 58

$\hat{p} = \dfrac{x}{n} = \dfrac{58}{148} = 0.3918$

95% Confidence interval:

$\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

Putting the values, we get:

$0.3918\pm 1.96(\sqrt{\dfrac{0.3918(1-0.3918)}{148}})\\\\ = 0.3918\pm 0.0786\\\\=(0.3132,0.4704)=(31.32\%,47.04\%)$

(31.32%,47.04%) is the required 95% confidence interval.

8 0

3 years ago

The rectangular prism below has a total surface area of 198 in2. Use the net below to find the missing dimension, x.

inessss [21]

The missing dimension, x, is 7.5.

if you take 45 and divide it by 6 you can get the next dimension needed to get the full number, 45. You can also find it by dividing 35 and 4. I hope this helps.

4 0

3 years ago

The combined weight of the people in an elevator is 49% of the 3,025-pound capacity.Which would be the best way to estimate the

klasskru [66]

Answer:

50% of 3000

Step-by-step explanation:

49% is very close to 50% (half). 3,025 pounds is very close to 3,000 pounds.

Half of 3,000 pounds is 1,500 pounds.

3 0

3 years ago

What is the volume of a sphere with a diameter of 43.5 cm, rounded to the nearest tenth of a cubic centimeter?

Akimi4 [234]

Answer

= 43098.92

Step-by-step explanation:

Good luck

i solved and got that

7 0

4 years ago

The basketball team at Martin Luther King High School won 12 of its first 15 games. Then it won its next 3 games. The percent of

aliya0001 [1]

12/15 games have been won then they won 3 which makes it then 15/18 because the denominator is how many games they've played while the numerator is how many games they one.

$\frac{15}{18} = \frac{x}{100}$
Cross multiply both...
$1500=18x$
divide each side by 18 to make the x by itself
Which gives you x=83.333%

4 0

4 years ago