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podryga [215]
3 years ago
11

GIVING BRAINLIEST TO PERSON WHO HELPS

Mathematics
1 answer:
zavuch27 [327]3 years ago
4 0
The left one
The two triangles are congruent because they apply the rule of S-A-S (side - angle - side)
side AB = side AD
angle BAC = angle DAC
side AC on triangle 1 = side AC on triangle 2

The right one
The two triangles are congruent because they apply the rule of R-H-S (right angle - hypotenuse - side)
angle HGJ = angle JLK
hypotenuse GJ = hypotenuse LJ
side HJ = side JK
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How many numbers are written from n to k, including n and k?
Rainbow [258]

Answer:

k-n+1

Step-by-step explanation:

How many numbers are written from n to k

Lets look at a smaller example with real number

Lets go from 3 to 8

3 4 5 6 7 8

There are 6 numbers

We take 8 -3 = 5,  but we include the number 3 so we add it back in +1

5+1 =6

Lets look at a larger example

2 to 11

2,3,4,5,6,7,8,9,10,11

There are 10 numbers

11-2 =9  but we have to add back in the first number

9+1 =10

Now we are going from n to k

k-n = k-n, but we have to add back in the first number

k-n+1

7 0
3 years ago
What is the slope of the line with equation <br>-3x+6y=12
notka56 [123]

Note the slope intercept form: y = mx + b, in which m = slope

Isolate the y. Note the equal sign, what you do to one side, you do to the other. First, add 3x to both sides

-3x (+3x) + 6y = (+3x) + 12

6y = 3x + 12

Fully isolate the y. Divide 6 from both sides (and to all terms)

(6y)/6 = (3x + 12)/6

y = (3x)/6 + (12)/6

Simplify

y = (1/2)x + 2

y = 0.5x + 2 is your equation.

The slope is direclty left of the x (or the m variable). In this case, it is 0.5

0.5 is your answer (or 1/2 if wanted in fraction form)

~

3 0
4 years ago
Read 2 more answers
What is the simplified form of the expression? (m34c5)−4
adelina 88 [10]

Answer:

-4^-2

Step-by-step explanation:

:)

3 0
3 years ago
jacob used 1/7 of a liter to fill 1/9 of the fush aquarium. how many liters if water are needed to fill the aquariam? please lea
Sveta_85 [38]

Answer:

1.2 liters

Step-by-step explanation:

7/7 of a liter is one liter. and you still are only at 7. you need to get to 9 you and 2 1/7 liters and that becomes 9/7 liters which = 1.2

7 0
3 years ago
Which of the following possibilities will NOT form a triangle? (5 points)
ruslelena [56]
<h3>Answer: Choice A</h3>

Side = 5 ft, side = 15 ft, side = 3 ft

Explanation:

The two sides 5 ft and 3 ft add to 5+3 = 8 ft which is not larger than the 15 ft side. This is exactly why a triangle is not possible here.

If we want a triangle to happen, then adding any two sides must be larger than the third side.

If we want a triangle with sides a,b,c, then we need the following to be true

  • a+b > c
  • a+c > b
  • b+c > a

Refer to the triangle inequality theorem for more information.

3 0
2 years ago
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