( (r+2) * (2r-9)-(r^2+17r+30) )/(r+2)
none of the parenthetical operations or power operations can be simplified further, so multiplication and division first, left to right:
(2r(r+2) -9(r+2) - r^2 + 17r +30)/(r+2)
(2r^2 + 2r -9r+18 -r^2 +17r +30 )/(r+2)
(r^2 +10r +48)/(r+2)
4. SOLVE FOR X:
Using the Alternate Interior Angles Theorem, we know that the 67 degree angle is congruent with the (12x - 5) degree angle. With this information, all I have to do is set the two equal to each other and solve for x.
67 = 12x - 5
67 + 5 = 12x - 5 + 5
72/12 = 12x/12
6 = x
x = 6
SOLVE FOR Y:
Using the Vertical Angles theorem, we know that angle y must be congruent to the 67 degree angle.
y = 67 degrees.
5. SOLVE FOR Y:
Alternate exterior angles: 6(x - 12) = 120
6x - 72 + 72 = 120 + 72
6x/6 = 192/6
x = 32
SOLVE FOR Y:
6((32) - 12) + y = 180
192 - 72 + y = 180
120 + y - 120 = 180 - 120
y = 60
Answer:
Part A: yes
Part B: yes
Part C: yes
Step-by-step explanation:
Part A:
77² + 420² = 427²
5,929 + 176,400 = 182,329
182,329 = 182,329
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Part B:
279² + 440² = 521²
77,841 + 193,600 = 271,441
271,441 = 271,441
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Part C:
39² + 760² = 761²
1,521 + 577,600 = 579,121
579121 = 579,121
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Answer:
$2.00
Step-by-step explanation:
8 times 6= 56
58 - 56= 2
Answer:
it is 1
Step-by-step explanation: