Answer:
Step-by-step explanation:
<h2>
Answer:</h2>
∠LMN is a right angle
<h2>
Step-by-step explanation:</h2>
If we want to prove that two right triangles are congruent by knowing that the corresponding hypotenuses and one leg are congruent, we begin as follows:
- Since two legs are congruent and we know this by the hash marks, then the triangle ΔLKN is isosceles.
- By definition LN ≅ NK
- If ∠LMN is a right angle, then MN is the altitude of triangle ΔLKN
- Also MN is the bisector of LK, so KM ≅ ML
- So we have two right triangles ΔLMN and ΔKM having the same lengths of corresponding sides
- In conclusion, ΔLMN ≅ ΔKMN
Answer:
16,244.26
Step-by-step explanation:
14,187.13 + (14.5% × 14,187.13) =
14,187.13 + 14.5% × 14,187.13 =
(1 + 14.5%) × 14,187.13 =
(100% + 14.5%) × 14,187.13 =
114.5% × 14,187.13 =
114.5 ÷ 100 × 14,187.13 =
114.5 × 14,187.13 ÷ 100 =
1,624,426.385 ÷ 100 =
16,244.26385 ≈
Answer:
x = 3
Step-by-step explanation:
we can use the Pythagorean theorem to solve this problem
x^2 + 4^2 = 5^2
x^2 + 16 = 25
x^2 = 9
x = +/- 3
we take only the positive value because a length can‘t be negative
x = 3
Answer:
The 15 percent commission is what the shop received.
Step-by-step explanation:
It said that the most expensive piece it ever sold was 225
not that the most money they made is 225