Answer:
Step-by-step explanation:
<u>Given triangle LNK </u>
- m∠NLK = 72°
- m∠LNK = 58°
- m∠LKN = ?
<u>Interior angles sum to 180°</u>
- m∠NLK + m∠LNK + m∠LKN = 180°
- 72° + 58° + m∠LKN = 180°
- m∠LKN = 180° - 130°
- m∠LKN = 50°
Answer:
90
Step-by-step explanation:
Answer:
Step-by-step explanation:
The line connecting the center with the end of the walkway is radius and is the hypotenuse of the right triangle.
Horizontal leg is the distance x.
<u>Vertical leg has the length:</u>
<u>Using Pythagorean theorem to find the length of x:</u>
- x² = (250/2)² - 63²
- x² = 125² - 63²
- x² = 11656
- x = √11656
- x = 107.96 ≈ 108
Answer:
number of yellow marbles=62.
Step-by-step explanation:
It is given that in a bag there are yellow marbles and blue marbles and the total number of marbles=73.
Let the number of Blue marbles=x, then according to the question, number of yellow marbles will be =5x+7.
Now, Total number of marbles= number of yellow marbles+number of blue marbles.
⇒73=x+5x+7
⇒73-7=6x
⇒66=6x
⇒x=11
Therefore, numberof blue marbles=x=11 and
number of yellow marbles=5x+7=5(11)+7=55+7=62.
Answer:
Step-by-step explanation:
<u>Solving in steps</u>
- 3| 4.5 - 2| - 5 |-1.5 -(- 3)| =
- 3 |2.5| -5 |-1.5 + 3| =
- 3*2.5 - 5|1.5| =
- 7.5 - 5*1.5 =
- 7.5 - 7.5=
- 0
