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3 years ago

Explain why the Leg-Leg (LL) theorem is the same as the Side-Angle-Side (SAS) postulate.

2 answers:

8 0

Both claim that if the two legs (the sides of the right triangle which meet to form 90°) and one of the corresponding acute angles of two right triangles are congruent then the two right triangles are also congruent :) They say the same but in a slightly different way!

Marysya12 [62]3 years ago

3 0

Answer:

SAS postulate of congruence refers to the congruence between two pairs of corresponding sides and the congruence between one pair of corresponding angles which are formed by the two sides.

Notice that to use this postulate we just need three congruent elements of those triangles.

Similarly we have the Leg-Leg theorem which is used to demonstrate congruence between right triangles. Using this theorem would give the same result than using SAS postulate, because Leg-Leg theorem is actually based on that.

In other words, we can use LL theorem for congruence because all right triangles has a congruent angle, the right angle. So, basically, when you use the LL theorem, you are actually use the SAS postulate indirectly.

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FINAL ROUND!! Could someone please help answer this thanks so much, please no spam, will give brainliest (homework help)

Genrish500 [490]

Answer:

a is less than or equal to 7

Step-by-step explanation:

This is the case because we can treat the less than or equal to sign as an equal sign. The only time it changes is when we divide by a negative, but we do not do that in this problem. First, you subtract 7 from both sides. That leaves us with a 4a on one side and a 28 on the other. Then, you divide both sides by four to get a is less than or equal to 7. I hope this helps!

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3 years ago

A woman invested 4 times as much as 5% as she did at 6%. The total amount of interest she earns is 1 year from both accounts is

Mnenie [13.5K]

Answer:

at 5% interest, she invested $8,000

at 6% interest, she invested $2,000

Step-by-step explanation:

Let the invested amount at 5% interest = x

Let the invested amount at 6% interest = y

x = 4y - - - - (1) (A woman invested 4 times as much as 5% as she did at 6%)

5% of x = 0.05x

6% of y = 0.06y

0.05x + 0.06y = 520 - - - - (2) (The total amount of interest she earns is $520)

putting the value of x gotten in equation (1) into eqn (2):

0.05x + 0.06y = 520

where x = 4y

∴ 0.05(4y) + 0.06y = 520

0.2y + 0.06y = 520

0.26y = 520

y = 520 ÷ 0.26

y = $2000

from eqn (1)

x = 4y

since y = 2000

x = 4 × 2000

x = $8000

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3 years ago

The probability that it will snow on the last day of January is 85%. If the probability remains the same of the first eight day

MrRa [10]

Answer:

Here, we have:

P(5 days snow in this 8 days) = 8C5 x (0.85)^5 x (1 - 0.85)^3 = 0.084

P(6 days snow in this 8 days) = 8C6 x (0.85)^6 x (1 - 0.85)^2 = 0.238

P(7 days snow in this 8 days) = 8C7 x (0.85)^7 x (1 - 0.85)^1 = 0.385

P(8 days snow in this 8 days) = 8C8 x (0.85)^8 x (1 - 0.85)^0 = 0.272

Add up those above, then the probability that it will snow AT LEAST five of those days in February:

P = 0.084+ 0.238 + 0. 385 + 0.272 = 0.979

Hope this helps!

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4 years ago

A truck weighs 5400 lb in Open Wheel race car weighs 1/4 as much how much does the race car weigh

Temka [501]

1,350 pounds

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3 years ago

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Find x. A. 22 B. 113–√ C. 222–√ D. 113√3

serg [7]

Answer:

x = 31.12

Step-by-step explanation:

First find the base (hypotenuse) of the smaller triangle (the isosceles triangle): Its three sides are 11, 11 and b. b can be found using the Pythagorean Theorem: b^2 = 11^2 + 11^2 = 242. Then b = √242, or b = approximately 15.56.

b (which is approximately 15.56) is the shorter leg of the large (right) triangle. The trig function needed to solve for x is the cosine:

adjacent side

cos 60 degrees = ----------------------

hypotenuse,

15.56

which becomes (1/2) = ------------

Solving this for x, we get: x = 2(15.56) = 31.12

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4 years ago