For this case we have the following functions:
We must find
. By definition of compound functions we have to:
So:
Taking into account that:
Different signs are subtracted and the major sign is placed.
Finally we have to:
Answer:
Answer:
<u>x = 18</u>
Step-by-step explanation:
1. Let's solve for x, using the supplementary angles theorem, this way:
∠ C = 180 - 7x + 2 because they are supplementary angles. And these angles add up to 180 degrees.
∠ D = 180 - 9x + 31 because they are supplementary angles. And these angles add up to 180 degrees.
∠ E = 180 - 4x - 33 because they are supplementary angles. And these angles add up to 180 degrees.
Now, let's recall that the interior angles of a triangle add up to 180 degrees. Thus:
∠ C + ∠ D + ∠ E = 180 °
Replacing with the real values for solving for x:
180 - 9x + 31 + 180 - 4x - 33 + 180 - 7x + 2 = 180
- 20 x + 540 = 180
- 20 x = 180 - 540 (Subtracting 540 to both sides)
- 20 x = - 360
<u>x = 18 (Dividing by - 20)</u>
<u>Proving that x = 18 is correct</u>
180 - 9x + 31 + 180 - 4x - 33 + 180 - 7x + 2 = 180
180 - 9 (18) + 31 + 180 - 4 (18) - 33 + 180 - 7 (18) + 2 = 180
180 - 162 + 31 + 180 - 72 - 33 + 180 - 126 + 2 = 180
573 - 393 = 180
180 = 180
<u>We proved that x = 18 is correct</u>
In comparing,
1 pound = 3.48
0.75 pounds = ?
= 2.61
Cost of the scooped gum balls will be 2.61.
<span>Let x= measure of sides that have common length
then from "the third side measures 5m less than twice the common length."
2x-5= third side
.
Because they gave us the perimeter we have:
11 = x+x+2x-5</span><span>11 = 4x-5
16 = 4x
4 m = x
.
third side:
2x- 5 =2(4)-5 = 8-5= 3m</span>
Length answers:
4m, 4m, and 3m
