Answer:
x=2
Step-by-step explanation:
Simplify both sides of the equation.
2x−1−(−x + 3)=6−2x
(Distribute the Negative Sign)
2x−1 + −1(−x + 3)=6−2x
2x + −1 + −1(−x) + (−1)(3)=6−2x
2x + −1 + x + −3=6−2x
2x + −1 + x + −3=6 + −2x
(Combine Like Terms)
(2x + x) + (−1 + −3)=−2x+6
3x + −4=−2x + 6
3x−4=−2x + 6
Add 2x to both sides.
3x−4 + 2x=−2x + 6 + 2x
5x−4=6
Add 4 to both sides.
5x−4 + 4=6 + 4
5x=10
Divide both sides by 5.
5x/5=10/5
x=2
Fraction? They are already decimals
First of all, we have to observe this triangles separated by the height. These small and big triangles are similar according to the Angle-Angle-Angle principle.
a. We can find all of these length using the cosine of the angle, Pythagoras theorem and the principle of the similarity of triangles.
b. According to the cosine of the angle we can write that, cosθ = 12/a = 5/13 and from here a = 31.2. After finding that using Pythagoras theorem, we can write that
. According to the similarity of the triangles, we can write that 31.2/d = 28.8/12 and d = 13. Applying Pythagoras theorem we find that c = 5.
c. We already gave the answer for this question in part b