Identify the common external tangent
2 answers:
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Answer:
Choice B and Choise C.
Step-by-step explanation:
Equivalent expressions are those expressions that have the same value but they look different.
Given the following expression provided in the exercise:
You need to remember the multiplication of signs in order to find the equivalent expressions:
Then:
- Eliminating the parentheses, you get this equivalent expression:
- Since the mulplication of two negative signs gives yous a positive sign, you can rewrite the original expression in this form:
This is an equivalent expression to
Notice that based on the diagram, all of the sides of the triangle are the same length. (The dashes on the sides of the triangle show that the sides are of congruence.) This means that the triangle is an equilateral triangle. An important thing to note about equilateral triangles is that they all have angles of 60°. All angles in equivalent triangles are 60°.
This means that we can set equal to 60 to solve for
:
- Set up
- Add 3 to both sides
- Divide both sides by 7
Our answer is x = 9.