Answer:
Q1. Regular (A)
Q2. 105° (C)
Q3. x=45°
Step-by-step explanation:
Q1. A regular polygon is a polygon with all sides and angles equal.
Q2. The sum of the measure of exterior angles of a polygon is always 360°. Therefore, 360°-255°=105°
Q3. 148°+112°+(2x+10)°+(2x)°+90°= Sum of angles in a pentagon.
<u><em>Note</em></u>: The square at the fifth angle shows that its a right angle which is 90°. Also all the angles are equal to the sum of angles in a pentagon 'cause the polygon has 5 sides ( a pentagon).
Sum of interior angles of a polygon is: (n-2)180°. Where "n" is the number of sides of the polygon.
Therefore the sum of interior angles is (5-2)180°=540°
solving the equation you have;
360°+4x=540°
4x=540°-360°
4x=180°
x=180°/4
x=45°
therefore x=45°
Answer:
x = 46
Step-by-step explanation:
Since the angles are equal to each other, make the equations equal to each other.
4x - 36 = 3x + 10 and simplify
x - 36 = 10
x = 46
Hope this helps!
6 cups of flour! Hoped this helps!!
Answer:
Step-by-step explanation:
First we need to set this ratio up in the coordinate plane. Because this is tangent, the 3 goes opposite the reference angle and the 4 goes along the x-axis, adjacent to the reference angle. We see that we are missing the third side of the triangle when we do this, namely the hypotenuse. We use Pythagorean's Theorem to find that this side is 5. Now we have to deal with the identities for each sin(2A) and cos(2A).
sin(2A) = 2sin(A)cos(A)
We know from the triangle we drew in the coordinate plane that
and 
so we fill in the formula accordingly and then simplify:
cos(2A) has 3 identities; I just picked the one I thought would be easiest to use and went with that one. Regardless of which one you pick you will get the same answer as long as you do the math correctly.
and filling in the formula:
I'm not sure why you have 7/2 there...
