Answer:
The similarities are;
1) The Third Angle Theorem and the Triangle Angle-Sum Theorem are based on the sum of the angles in a triangle being equal to 180°
2) The Third Angle Theorem and the Triangle Angle-Sum Theorem are used to prove the measure of the third
3) The Third Angle Theorem and the Triangle Angle-Sum Theorem are triangle theorems
The differences are;
1) The Third Angle Theorem is mainly used to prove the similarity of two triangles, while Triangle Angle-Sum Theorem is used to find the measure of the third angle
2) The value of the third angle may not be determined when using the The Third Angle Theorem to prove the similarities between triangles while the value of the third angle is normally determined calculated when the Triangle Angle-Sum Theorem is used to find the third angle given the other two angles in the triangle
Step-by-step explanation:
Answer: 1.18519
Step-by-step explanation:
1 5/27 = 32/27
= approximate value = 1.18519
Answer:
D
Step-by-step explanation:
Since BD and AE are parallel lines, then
∠BDC = ∠AED ( corresponding angles ), thus
4x - 5 = 97 - 2x ( add 2x to both sides )
6x - 5 = 97 ( add 5 to both sides )
6x = 102 ( divide both sides by 6 )
x = 17, hence
∠AED = 97 - 2x = 97 - (2 × 17) = 97 - 34 = 63°
∠BDE and ∠AED are same side interior angles and are supplementary, thus
10y - 3 + 63 = 180
10y + 60 = 180 ( subtract 60 from both sides )
10y = 120 ( divide both sides by 10 )
y = 12 → D
Answer:
180
Step-by-step explanation:
Multiply 144 by the reciprocal of 
, that is
The reciprocal of is 
= 
, then
× 144 = 
= 180
First set up the equation based on the description.
x + 16 = 3x
Use subtraction to get the "x"s on one side of the equation. You can next subtract <span>
x from both sides.
16 = </span>
<span> x
Now you can multiply both sides of the equation by </span>
<span> to solve for x
x = 6</span>
