Answer:
Start
A2
B2
B1
C1
C2
D2
D3
D4
C4
END
Step-by-step explanation:
Start (A3)
x is equal to 141 because they are alternate interior angles.
A2. x is equal to 39 because they are corresponding angles.
B2. x would be supplementary to 41 because the angle that x supplements is corresponding to 41.
41 + x = 180 due to the linear pair postulate. Therefore, x = 139.
B1. x would be supplementary to 82 because they are consecutive exterior angles.
82 + x = 180 due to the linear pair postulate. Therefore, x = 98.
C1. x = 102 due to the vertical angles theorem.
C2. x would be supplementary to 130 because the angle that x supplements is equal to 130 (Alternate Exterior Angles).
130 + x = 180, x = 50.
D2. x = 74, corresponding angles.
D3. x = 83, corresponding angles.
D4. x = 95, corresponding
C4. x is supplementary to 18 because of the consecutive interior angles theorem.
x = 162
END
Answer:
ans: coefficient of 3rd term is 60
3rd term is 60x
Step-by-step explanation:
(5x +2)³ = C(3,2) × (5x)^(3-2) × 2²
= 3 × 5 × 4 × x
= 60x
Answer:
E = 58
F = 32
G = 90
Step-by-step explanation:
3x + 31 + 5x -13 + 90 = 180
3x + 31 + 5x -13 = 90
8x = 90 - 31 + 13
8x = 72
x = 72 / 8
x = 9
E = 3(9) + 31 = 27+31 = 58
F = 5(9)-13 = 45 - 13 = 32
G = 90
We have the supplementary angles.
The sum of the measures of the two Supplementary Angles is 180°.
Therefore we have the equation:
13x - 2 + 39 = 180
13x + 37 = 180 <em>subtract 37 from both sides</em>
13x = 143 <em>divide both sides by 13</em>
<em>x = 11</em>
<h3>Answer: 11</h3>
9514 1404 393
Answer:
$19.72
Step-by-step explanation:
The sales tax is 13% of $17.45:
0.13 × $17.45 = $2.27 . . . . . . rounded (up) to the nearest cent
Then the total Shayna will pay is ...
$17.45 +2.27 = $19.72