Answer:
First option and Fourth option.
Step-by-step explanation:
To solve this exercise you need to use the following Trigonometric Identity:
In this case you know that:
Since triangle ABC is similar to triangle DEF:
Let's begin with the triangle ABC.
You can identify that:
Then, substituing values, you get:
In triangle DEF, you know that:
So, substituing values, you get:
Answer:
142
Step-by-step explanation:
Multiplying both sides by 5, you get:
x+18=160
Now, you can subtract 18 from both sides to get:
x=142
Hope this helps! Comment if this wasn't clear enough, or you need more explanation.
Answer:
x = -2.5 ± √14.25
Step-by-step explanation:
Add 5x to prepare for "completing the square."
x² +5x = 8
Add the square of half the x-coefficient:
x² +5x + 2.5² = 8 + 2.5²
(x +2.5)² = 14.25
Take the square root.
x +2.5 = ±√14.25
Subtract 2.5.
x = -2.5 ± √14.25 ≈ {-6.27492, 1.27592}
