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likoan [24]
2 years ago
11

this theorem states that if each leg in a right triangle is congruent to a leg and another right triangle, then the two triangle

s must be congruent. use the diagram below to prove the LL theorem for the right triangles

Mathematics
1 answer:
Dvinal [7]2 years ago
4 0
If both of the two legs are the same length, the distance between the two endpoints of each line (leg) must be the same distance. This means that the hypotenuse MUST be the same length. Using SSS, since all 3 sides must be the same length, the triangles are congruent.
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What is the value of x? Show your work in arriving at your answer.
Trava [24]

Answer: x = 18

Step-by-step explanation:

First, since both angles shown are equal to each other, you can immediately set your equation.

5x + 5 = 95

Next, move 5 to the opposite side of the equation to isolate your x value (5x). This step is simply subtracting the hanging 5.

5x + 5 (-5) = 95 (-5)

5x = 90

Finally, you need to divide both sides of the equation by 5 (the 5 next to the x) to *fully* isolate the x value.

5x / 5 = 90 / 5

x = 18

final answer: x = 18

Hopefully this helps with the remainder of your lesson! :)

5 0
2 years ago
20 POINTS Find the diameter?? Pls help I dont know what to do..
Akimi4 [234]

Answer:

Diameter = 19.33

Step-by-step explanation:

Imaging a radius line from O to the endpoints of the 7. call this line R.

Label the part of the vertical line from O to the 90 degree intersection y.

Now you have a right triangle.

Using the Pythagorean theorem:

R² = 7² + y²

also

y = R - 3

substitute for y:

R² = 49 + (R-3)²

R² = 49 + R² - 6R + 9

simplify:

0 = 58 - 6R

6R = 58

R = 9.6667

Diameter = 2(9.6667) = 19.33

7 0
2 years ago
Dale made a model of a lighthouse using a 4 inches=50 feet if the lighthouse is 120 feet tall, how tall is his model
olchik [2.2K]

Answer:

8 2/5 inches!

Step-by-step explanation:

The lighthouse is 120 feet, and 4 inches of height on the model equals 50 feet of height on the lighthouse. 100 divided by 50 = 2, and 4 multiplied by 2 is 8. 20 divided by 50 = 2/5, so the answer is 8 2/5 inches. :)

3 0
3 years ago
An Air Force plane flew to the
Free_Kalibri [48]

Answer:

5 hours

Step-by-step explanation:

Time taken for trip : t + 1

Time taken for return : t

Avg. speed (trip) : 256 km/h

Avg. speed (return) : 320 km/h

The distances covered on both trips are equal.

⇒ Distance (trip) = Distance (return)

⇒ Speed (trip) × time (trip) = Speed (return) × time (return)

⇒ (256)(t + 1) = (320)(t)

⇒ 256t + 256 = 320t

⇒ 64t = 256

⇒ t = 4 hours

<u>Time (trip)</u> = t + 1 = 4 + 1 = 5 hours

4 0
2 years ago
Help please! write an expression that shows how to convert kilograms to grams
Irina18 [472]

Kilo is the unit prefix for multiplication by one thousand. Therefore, a kilogram, or kg, is equal to one thousand grams. To convert grams to kilograms, you simply have to multiply the number of kilograms to grams.

So, for example, if you had 16.24kg of a compound, it would equal:

3 0
3 years ago
Read 2 more answers
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