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Tomtit [17]
3 years ago
12

Find the measure of the missing angle in the triangle shown 49° 57°

Mathematics
2 answers:
Harlamova29_29 [7]3 years ago
7 0
Ok, we know that there are 270 degrees in a triangle, so just add 49+57, the you'll get 106, 270-106=164. ANSWER: 164
ra1l [238]3 years ago
6 0
In a triangle everything must add up to 270 degrees meaning that if there is already 49 and 57 you must add them both together so 49+57 is 106 so you would now have to subtract 106 from the total number of the triangle, being 270.
So the equation would have to be 270-106= 164. The missing angle that you are missing is 164 degrees
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It is given that x² - y² = 30 and x - y = 5. Find the value of (x + y)².
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Answer:

36

Step-by-step explanation:

when solving for two variables, we need to find one variable in terms of the other.

so, we can turn:

x - y = 5

into

x - y = 5

  + y    + y

x = y + 5

Then, we can substitute "x" in the given equation with "y + 5"

  x² - y² = 30

 (y+5)² - y² = 30

(y + 5)(y + 5)

F: y²    O:  +5y    I:   +5y  L:  25   {foil}

y² + 10y + 25 - y² = 30          {cancel y² - y²}

10y + 25 = 30

      -25      -25

10y  = 5

÷10    ÷10

y = 0.5

x = y + 5

x = 0.5 + 5

x = 5.5

check:

(5.5)² - (0.5)²

30.25  - 0.25 = 30

30 = 30

(TRUE)

now, we must find the value of:

(5.5 + 0.5)²

= (6)²

= 36

So, the value of (x + y)² is found to be 36

hope this helps!!

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