Answer is B. 11. The square root is roughly 10.5, so you round up and get 11
Answer:
∠1 is 33°
∠2 is 57°
∠3 is 57°
∠4 is 33°
Step-by-step explanation:
First off, we already know that ∠2 is 57° because of alternate interior angles.
Second, it's important to know that rhombus' diagonals bisect each other; meaning they form 90° angles in the intersection. Another cool thing is that the diagonals bisect the existing angles in the rhombus. Therefore, 57° is just half of something.
Then, you basically just do some other pain-in-the-butt things after.
Since that ∠2 is just the bisected half from one existing angle, that means that ∠3 is just the other half; meaning that ∠3 is 57°, as well.
Next is to just find the missing angle ∠1. Since we already know ∠3 is 57°, we can just add that to the 90° that the diagonals formed at the intersection.
57° + 90° = 147°
180° - 147° = 33°
∠1 is 33°
Finally, since that ∠4 is just an alternate interior angle of ∠1, ∠4 is 33°, too.
Answer:
<em>i: </em>x=-2, x=1
<em>ii: </em>x=-1/2
Step-by-step explanation:
Quadratic form:
You solve <em>i </em>by using FOIL (First, Outside, Inside, Last) because it is a multiplication problem.
<em>"first"</em> would be 
, which would equal 
<em>"outside"</em> would be 
, which would equal 
<em>"inside"</em> would be 
, which would equal 
<em>"last" </em>would be 
, which would equal 
Now you need to combine the terms so that they are one after the other
Combine like terms, and you should get:
i Solution
<em>You need to get the variable by itself.</em>
<em>Subtract two from both sides</em>
<em>Add one to both sides.</em>
ii Solution
<em>Add all the terms.</em>
Answer:
84
Step-by-step explanation:
Given a quadratic equation in standard form, ax² + bx + c = 0 : a ≠ 0
Then the discriminant is Δ = b² - 4ac
2k² = 10k - 2 ( subtract 10k - 2 from both sides )
2k² - 10k + 2 = 0 ← in standard form
with a = 2, b = - 10 and c = 2, thus
b² - 4ac = (- 10)² - (4 × 2 × 2) = 100 - 16 = 84
