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Thepotemich [5.8K]
2 years ago
6

PLEASE HELP THANK YOU SO MUCH IN ADVANCE. IF POSSIBLE PLEASE EXPLAIN HOW YOU GOT YOUR ANSWER

Mathematics
1 answer:
natka813 [3]2 years ago
8 0

Answer:

Step-by-step explanation:

To be right triangle has to verify the Pythagorean Theorem

hypothenuse² = (side 1 )² + (side 2)²

Since the hypothenuse is the largest of the sides we consider the largest number the hypothenuse and check the relation.

16, 30, 34

34² = 16²+30²; 1156 = 1156 ✅

16, 30, 34 are measurements of a right triangle

8, 14, 16

16² = 8² +14²; 256 = 260 ❌

8, 14, 16  is not a right triangle

10, 12, 16

16² = 10² +12²; 256 = 244 ❌

10, 12, 16 is not a right triangle

5, 12, 13

13² = 12²+5²; 169 = 169 ✅

5, 12, 13 are measurements of a right triangle

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krok68 [10]
The answer is 36/49.

You take the second fraction and flip it (it will be 12/14) and you multiply straight across. You get 72/98. You simplify it by finding it's greatest common factor (in this case it is 2) so you divide it the numerator and the denominator by 2. You get 36/49.
6 0
3 years ago
The sum of two numbers is 26. The larger number is 5 more than twice the smaller. What are
babymother [125]

Answer:

Step-by-step explanation:

Let n = the smaller of the two numbers, and since the other number is 5 more than twice the smaller number n, then ...

Let 2n + 5 = the second and larger number.

Since the sum of the two unknown numbers is 26, then we can write the following equation to be solved for n as follows:

n + (2n + 5) = 26

n + 2n + 5 = 26

Collecting like-terms on the left, we get:

3n + 5 = 26

3n + 5 - 5 = 26 - 5

3n + 0 = 21

3n = 21

(3n)/3 = 21/3

(3/3)n = 21/3

(1)n = 7

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Therefore, ...

2n + 5 = 2(7) + 5

= 14 + 5

= 19

CHECK:

n + (2n + 5) = 26

7 + (19) = 26

7 + 19 = 26

26 = 26

Therefore, the two desired numbers whose sum is 26 are indeed 7 and 19.

7 0
2 years ago
Read 2 more answers
3. Given ABCD ≅ FGHJ and mC = 9x - 7, mH = 5x + 13, find the value of x and the measures of angle C and angle H. Show all work
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Since congruence and similarity for polygons is posted in a specific order, we know that angle A=angle F, side A=side F, die B=side G, and so on. Therefore, we have that angle C=angle H = 9x-7=5x+13. Subtracting 5x from both sides to separate the x using the subtraction property of equality, we get 4x-7=13. Next, we can add 7 to both sides to get 4x=20, and divide both sides by 4 to isolate the x and get x=5. Plugging that into angle C or angle H, we get that 9x-7=9*5-7=45-7=38=5*5+13.

Feel free to ask further questions!
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