56 is you answer you need.
<span>The area of mathematics that deals with points, lines, shapes and space. Plane Geometry is about flat shapes like lines, circles and triangles. Solid Geometry is about solid (3-dimensional) shapes like spheres and cubes.</span>
Answer/Step-by-step explanation:
1. The vertex of am angle is formed when two lines join together. The vertex of the angle shown in the diagram is located outside the circle.(<R)
2. The lines that created <FRT (lines FR & TR) are secants
3. The major arc = FT = 140°
minor arc = QS = 44°
4. Formula of Exterior angles of a circle = (major arc - minor arc)/2
x = (140 - 44)/2
x = 96/2
x = 48°
In a triangle, the measure of an angle is in the same order of size as the length of the opposite side. The smallest angle is opposite the shortest side. The largest angle is opposite the longest side. The middle-sized angle is opposite the middle-sized side.
Also, in a triangle, the sum of the measures of the interior angles is 180.
We can now calculate the measures of the three angles by writing and solving an equation.
m<A + m<B + m<C = 180
9x - 7 + 7x - 9 + 28 - 2x = 180
Collect like terms on the left side.
9x + 7x - 2x - 7 - 9 + 28 = 180
14x + 12 = 180
Subtract 12 from both sides.
14x = 168
x = 12
Now that we know x, we can find the measure of each angle.
m<A = 9x - 7 = 9(12) - 7 = 108 - 7 = 101
m<B = 7x - 9 = 7(12) - 9 = 84 - 9 = 75
m<C = 28 - 2x = 28 - 2(12) = 28 - 24 = 4
(Quick check: Add the angles measures: 101 + 75 + 4 = 180. The sum is 180 as it should be.)
Now that we know the angle measures, the opposite sides are in the same order of size.
AB < AC < BC
The sides are, in increasing order of length:
AB, AC, BC
Say you're making a recipe that needs 2 1/2 cups of water. But you want to make two servings, so you need to know what 2 1/2 + 2 1/2 equals. Or maybe you need a half cup of milk but you don't have enough. You need to know how much left you need so you can buy or borrow the right amount.
