Given:
m∠DAE = 30°
m∠CBE = 20°
To find:
The value of x.
Solution:
In rectangle, all angles are right angle.
m∠A = m∠B = m∠C = m∠D = 90°
m∠EDA + m∠EAB = 90°
30° + m∠EAB = 90°
m∠EAB = 90° - 30°
m∠EAB = 60°
Similarly, m∠CBE + m∠EBA = 90°
20° + m∠EBA = 90°
m∠EBA = 90° - 20°
m∠EBA = 70°
In triangle AEB,
Sum of all angles in a triangle = 180°
m∠EAB + m∠AEB +m∠EBA = 180°
60° + x° + 70° = 180°
130° + x° = 180°
Subtract 130° from both sides, we get
x° = 50°
x = 50
The value of x is 50.
<h3>
Answer: Choice C) line n</h3>
Explanation:
Tangent lines touch the circle at exactly one point.
Answer:
y= 
x+ 10
Step-by-step explanation:
Answer:
A. 
General Formulas and Concepts:
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] sinθ = opposite over hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
sin 30°
<u>Step 2: Solve</u>
Since sin is opposite over hypotenuse, we need to find the length of the opposite leg of the angle and the length of the hypotenuse.
Given the triangle and it's values, the opposite leg to the 30° angle is 1 and the hypotenuse is 2.
Substituting it into sin, we have:
sin 30° = 1/2 = 0.5
∴ our answer is A.
In order to get the answer of that, let's understand first that the question can first be presented as a fraction form. So by breaking down the question, we will be able to get the fraction form which is 300/2530. Now in order to get the percent form of that, we simply divide 300 and 2530. The answer to that will result in 0.11858. Now we know for a fact that in order to make a decimal a percentage, we just have to move the decimal point two times to the right. So the answer is 11.858%
