Explanation 1:
Jennifer knows that at least one of Franklin's measures of the angles of the triangle is incorrect because the sum of the inner angles of a triangle is equal to 180°.
When you add the shown measures you get:
- 37° + 97° + 134° = 268° ≠ 180°, which makes this an impossible triangle.
Explanation 2:
Jennifer also can know that either the measure 97° or 134° (or even both) is incorrect.
This is so because the addition of those two measures is
Since 231° > 180° those measures cannot be correct because the sum of two angles of an triangle has to be less than 180°, given that when they are summed to the other angle the sum has to be 180°.
Answer: 2.8 x 10^-3
Step-by-step explanation: Because 10^-3 moves the decimal backwards 3 times
Answer:
2/3 x ![\sqrt[4]{y^2}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7By%5E2%7D)
Step-by-step explanation:
( 16 x^11 y^8 / 81 x^7 y^6) ^ ( 1/4)
Simplify the expression inside the parentheses
Rewriting the constant
16/81 = 2^4 / 3^4 = (2/3) ^4
Next the x terms
x^11 / x^7
We know that a^b / a^x = a^ ( b-c)
x^ (11-7) = x^4
And finally the y term
y^8/ y^6 = y^( 8-6) = y^2
( (2/3) ^4 x^4 y^2) ^ ( 1/4)
We know that (ab) ^ c = a^ c * b^c
(2/3) ^4 ^ 1/4 ( x^4 ^ 1/4 ( y^2) ^ ( 1/4)
We know that a^ b^ c = a^ ( b*c)
(2/3) ^4 ^ 1/4 ( x^4 ^ 1/4 ( y^2) ^ ( 1/4)
( 2/3) ^ ( 4*1/4) * x^ ( 4*1/4) * y ^ ( 2 ^ 1/4)
2/3 * x * y ^ 2/4
2/3x y ^ 2/4
2/3 x
8 is 3+5, that would be the correct answer
