Answer:
Step-by-step explanation:
two ways of representing a relationship between quantities.
Answer:
your answer is 5.4 square inches
I hope it is helpful
Answer:
- <u><em>option D. ∠Y ≅ ∠B.</em></u>
Explanation:
Please, find attached the figure needed to answer this question.
<em>ASA </em>is the Angle-Side-Angle congruency rule. It states that if two angles and the included side of a triangle are congruent to two angles and the included side of other triangle, then, the two triangles are congruent.
In the figure it is given that the angle Z is congruent to the angle C, and the side CB is congruent to the side ZY.
Then, you need that the other angles B and Y be congruent too.
Thus, the answer is the option D. ∠Y ≅ ∠B.
In this way, you have two angles and the included side of one triangle are congruent to two angles and the included side of the other triangle.
- ∠Z ≅ ∠C
- ∠ Y ≅ ∠C
- segment CB ≅ ZY
Answer:
6 and 8
Step-by-step explanation:
The hypotenuse of a 30°-60°-90° triangle measures 10 inches.
To find the length of one of the legs, we use the idea of Pythagorean Triples.
Pythagorean Triples are any set of three numbers that satisfies the Pythagorean Theorem. Some common examples are:
- 3, 4 and 5
- 5, 12 and 13
- 9, 40 and 41
Note that in a Pythagorean Triple,
- The longest length is always the Hypotenuse.
- New Triples can be formed from product of existing triples.
In our given triangle, the Hypotenuse=10 Inches
Consider the Pythagorean Triple 3,4, and 5
- 5 is the Hypotenuse
- Multiply the Triples by 2, we obtain:
- 6, 8 and 10 (in which 10 is the hypotenuse)
Therefore, 6 and 8 could be the length of a leg of the 30°-60°-90° triangle.