Answer:
Statements: Reasons:
1) ∠2 and ∠4 are vertical angles given
2) limes <em>m </em>and <em>n </em>intersect at <em>P </em>definition of vertical angles
3) ∠3 and ∠4 are linear pair definition of linear pair
4) ∠2 and ∠3 are linear pair definition of linear pair
5) m∠3 + m∠4 =180 angle addition postulate
6) m∠2 + m∠3 =180 angle addition postulate
7) m∠2 + m∠3 = m∠3 + m∠4 substitution property
8) m∠2 = m∠4 subtraction property
9) ∠2 ≅ ∠4 definition of congruent(≅) angles
112 <span>≥ b+128
First: You would subtract 128 on both sides of your sign
You would get: -16</span><span>≥ b <That is your answer
HOPE THIS HELPS! ^_^</span>
Answer:
(x, y) = (5, 1)
Step-by-step explanation:
To <em>eliminate</em> x, you can double the second equation and subtract the first.
... 2(x +4y) -(2x -3y) = 2(9) -(7)
...11y = 11 . . . . . simplify
... y = 1 . . . . . . divide by 11
Using the second equation to find x, we have ...
... x + 4·1 = 9
... x = 5 . . . . . subtract 4
_____
<u>Check</u>
2·5 -3·1 = 10 -3 = 7 . . . . agrees with the first equation
(Since we used the second equation to find x, we know it will check.)
Answer:
I’m not sure what you mean by divided, but the square root of 24 would be between 4 and 5.
Explanation:
I translated 4 and 5 into square roots, being the square root of 16 (4^2) and the square root of 25 (5^2).
4 is equal to the square root of 16 just as 5 is equal to the square root of 25.
Of the given square roots in the answers, only the square root of 24 was between the square roots of 16 and 25. Therefore, the square root of 24 is between 4 and 5.