Answer:
The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles. (Non-adjacent interior angles may also be referred to as remote interior angles.) FACTS: An exterior ∠ is equal to the addition of the two Δ angles not right next to it.
Answer:
Vertical angles
Step-by-step explanation:
The diagram shows two straight line intersecting to form vertical angles. One of such pair of vertical angles formed is <1 and <2.
Vertical angles are congruent to each other. Therefore, the reason why <1 ≅ <2 is because they are vertical angles or vertical angles pair.
Answer:
Subtract (remove) 2 x-tiles from both sides.
x = 5
Step-by-step explanation:
According to the rules of equality, you can add or subtract the same number(s) from both sides of the equal sign. Here, it is convenient to subtract the number of tiles that is on the side with the least number of tiles. That means we want to subtract 2 x-tiles from both sides.
The result of doing that is the answer:
x = 5
9514 1404 393
Answer:
6.2 feet
Step-by-step explanation:
The mnemonic SOA CAH TOA reminds you of the relationship between angles and sides of a right triangle. Here, we have the side opposite the 58° angle, and we want to know the side adjacent. The relevant relation is ...
Tan = Opposite/Adjacent
tan(58°) = (10 feet)/x
x = (10 feet)/tan(58°) ≈ 6.249 feet
The length of the shadow is about 6.2 feet.