<h3>
Answers: Choice A and Choice C</h3>
Explanation:
Think of the vertical lines as train tracks (the metal rails).
Stuff between the rails are interior angles.
Angles 3 and 6 are one pair of alternate interior angles because they are on alternating sides of the transversal line. The other pair of alternate interior angles are angles 4 and 5.
Alternate interior angles are congruent when we have parallel lines like this.
Answer:
Approximately 
revolutions (rounded to the nearest whole number.)
Step-by-step explanation:
Convert the diameter of this wheel to meters: 
.
Circumference of this wheel:
.
Distance travelled in one hour:
.
Number of revolutions required for covering that distance:
.
Answer:
x = -10/13
Step-by-step explanation:
10x + 7 = -3x - 3
Add 3x to both sides
10x + 3x + 7 = -3x + 3x - 3
13x + 7 = 0x - 3
13x + 7 = -3
Subtract 7 from both sides
13x + 7 - 7 = -3 - 7
13x + 0 = -10
13x = -10
Divide both sides by 13
13x ÷ 13 = -10 ÷ 13
1x = -10/13
x = -10/13
To complete the square:
we take the coefficient ox "x" (which in this problem is -20)
we divide it by 2
square that number
then add it to both sides of the equation
-20 / 2 = -10
-10^2 = 100
then we add 100 to both sides of the equation:
x^2 -20x
x^2 -20x +100 = 100
******************************************************
To get the roots of the equation, we take the square root of both sides:
(x -10) * (x-10) = 10
(x-10) = square root (10)
x-10 =
<span>
<span>
<span>
3.1622776602
</span>
</span>
</span>
x1 =
<span>
<span>
<span>
13.1622776602
</span>
and don't forget that square root of 10 also equals </span></span><span><span><span> -3.1622776602
</span>
</span>
</span>
x2 = 10
-<span>
<span>
<span>
3.1622776602
x2 = </span></span></span>
<span>
<span>
<span>
6.8377223398
</span>
</span>
</span>
Answer:
9 3/4 cups of sugar
Step-by-step explanation:
