Answer:
All are 63
Step-by-step explanation:
m∠1 = 180 - 117 = 63 (linear pair)
m∠2 = 63 (alternate interior angle with ∠1)
m∠3 = m∠1 = 63 (isosceles triangle property)
Hope it helps :)
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Answer:
1 and -2
Step-by-step explanation:
-2x^2=2x-4 so 2x^2 + 2x -4 = 0
2(x^2+x-2)=0
x^2+x-2 = (x-1)(x+2)
x=1 x=-2
Answer:
x = -3, 4/5
Step-by-step explanation:
To factor the equation, you need to find factors of (5)(-12) that have a sum of (+9).
(5)(-12) = -60 = 60(-1) = 30(-2) = 15(-4) = 12(-5) = 10(-6)
The factors 15 and -4 have a sum of 9, so we can factor the equation as ...
5x² +15x -4x -12 = 0
5x(x +3) -4(x +3) = 0 . . . . factor pairs of terms
(5x -4)(x +3) = 0
The solutions are the values of x that make these factors zero:
5x -4 = 0 ⇒ x = 4/5
x +3 = 0 ⇒ x = -3
The solutions are x = -3 or 4/5.
<span>Let the first number be x.
Then the second number is 3x.
Then the third number is (x+100).
Sum of the numbers=500
x+3x+(x+100)=500</span>
<span>4x+(x+100)-500=0
</span><span>5x=400</span>
<span>x=80
</span><span>The first number is 80.
The second number is 240.
The third number is 180.
We can check by adding all three of those numbers together: 80+240+180 = 500
</span>
Hope this helps! If you have any questions just ask!
