U have an arithmetic sequence with a common difference of 3
A(n) = -4 + (n-1) * 3
Answer:
<u><em>Vertical angles are</em></u><u><em> congruent</em></u><u><em>, so the</em></u>
<u><em>equation </em></u><u><em>3x-6 = 114</em></u><u><em> can be used to find x.</em></u>
<u><em>The value of x is </em></u><u><em>40</em></u><u><em>.</em></u>
<u><em /></u>
<u><em>Convince Me!</em></u>
<u><em>Why can you use an equation when solving for x in</em></u>
<u><em>the diagram?</em></u>
<u><em>You can use the eqution because they are equal to each other. When they are equal to each other, you can find x by using the equation to simplify and get x alone.</em></u>
Kelly sells 52 subscriptions every 72 days, therefore,
216 / 72 = 3.
52 * 3 = 156
Kelly sells 156 subscriptions every 216 days
Step One
Find RST
The two base angles are given as equal and one of the is 28. So is the other one.
SRT = 28
STR = 28
All triangles have interior angles that add up to 180 degrees.
RST + SRT + STR = 180
28 + 28 + RST = 180
56 + RST = 180 Subtract 56 from both sides.
RST = 180 - 56
RST = 124
Step two
Find the exterior angle
The exterior angle = Sum of the two remote interior angles (RST + SRT)
The exterior angle = 28 + 124
The exterior angle = 152
Step Three
Find the value of x
2*x = 152 Divide by 2
x = 152 / 2
x = 76
There is a quicker way of finding the exterior angle. I didn't see it until I had written step two.
The exterior angle + STR = 180 degrees. They are supplementary.
The exterior angle + 28 = 180
The exterior angle = 180 - 28
The exterior angle = 152
