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Crank
3 years ago
9

Find the missing lengths in the given triangle​

Mathematics
1 answer:
katovenus [111]3 years ago
3 0
90° becuase 60+30 = 90 and 90+90=180
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Divide 29 into two parts so that the sun of the squares of the parts is 425.Find the value of each Part.
Taya2010 [7]

Answer:

13 and 16

Step-by-step explanation:

let the 2 parts be x and y, then

x + y = 29 → (1) and

x² + y² = 425 → (2)

From (1) → x = 29 - y → (3)

substitute x = 29 - y into (2)

(29 - y)² + y² = 425 ( expand factor )

841 - 58y + y² + y² = 425 ( rearrange into standard form )

2y² - 58y + 416 = 0 ← in standard quadratic form

divide all terms by 2

y² - 29y + 208 = 0

Consider the factors of 208 which sum to - 29

These are - 13 and - 16, hence

(y - 13)(y - 16) = 0

equate each factor to zero and solve for y

y - 13 = 0 ⇒ y = 13

y - 16 = 0 ⇒ y = 16

substitute these values into (3)

x = 29 - 13 = 16 and x = 29 - 16 = 13

The 2 parts are 13 and 16


4 0
3 years ago
Read 2 more answers
5X+17=7 PLEASE HELP FAST<br><br> WITH STEP FAST
katen-ka-za [31]

Answer:

x=-2

Step-by-step explanation:

5x+17=7

5x=-10

x=-2

3 0
3 years ago
Read 2 more answers
The average weight of three dogs is 55 pounds, and the average weight of five cats is 9 pounds. What is the average weight, in p
notsponge [240]

Answer:

Option D is correct

Step-by-step explanation:

Statement 1

Average weight of 3 dogs = 55 pounds

Total weight of 3 dogs = 55 × 3

Total weight of 3 dogs = 165 pound

Statement 2

Average weight of 5 cats = 9 pounds

Total weight of 5 cats = 9 × 5

Total weight of 5 cats = 45 pounds

New Average = 165 + 45/8

New Average = 210/8

New Average = 26.25 pounds

4 0
3 years ago
Read 2 more answers
I NEED URGENT HELP!! THANK U!
Natalija [7]

Answer:

1.) \frac{1}{2}

2.)\frac{3}{4}

3.)\frac{1}{4}

Step-by-step explanation:

I did this, in like, 2 weeks ago.

Check attachment for answer.

5 0
3 years ago
PLEASE HELP ME WITH THIS
guapka [62]

Can you write it out differently? I don't understand.

3 0
2 years ago
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