Answer:
OG = 8.7
Step-by-step explanation:
The angle a tangent makes with a radius at the point of tangency is a right angle. That means ΔOGH is a right triangle.
The tangents to a circle from an external point are congruent, so GH = GI = 6.3. Now we know the sides of the right triangle are of lengths 6 and 6.3. The hypotenuse, OG is found using the Pythagorean theorem.
OG² = OH² +GH²
OG² = 6² +6.3² = 75.69
OG = √75.69 = 8.7
The length of OG is 8.7 units.
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<em>Additional comment</em>
You might recognize this triangle as a 0.3 multiple of the Pythagorean triple (20, 21, 29).
Answer:
yes
Step-by-step explanation:
the explanation is that a rhombus is a parallelogram in which all sides are equal. Their diagonals bisect each other at right angles.
Answer:
x = 35.4
Step-by-step explanation:
Sum of all interior angles in a triangle = 180°
Therefore:
(x + 2)° + (2x + 2)° + (2x - 1)° = 180°
x + 2 + 2x + 2 + 2x - 1 = 180
Collect like terms
x + 2x + 2x + 2 + 2 - 1 = 180
5x + 3 = 180
Subtract 3 from each side
5x + 3 - 3 = 180 - 3
5x = 177
Divide both sides by 5
5x/5 = 177/5
x = 35.4
