Answer:
Step-by-step explanation:
<u>8.</u> The angles are equal, so:
(2x+2) = (3x - 63)
-x = -61
x = 61
Angle (2x+2) is 124°
Angle (3x-63) is 120°
<u>9.</u> The sum of all angles in a triangle is 180°.
The sum of the two unknown angles is 90° [180° - 90° from the right angle°]
(8x+2) + (9x+3) = 90°
17x + 5 = 90°
17x = 85°
x = 5
The two angles are:
(8x+2) = 42°
(9x+3) = 48°
Answer and Explanation:
Using trig ratios, we can express the given values of sin u and tan v as shown below
![\begin{gathered} \sin u=\frac{opposite\text{ of angle u}}{\text{hypotenuse}}=\frac{2}{5} \\ \tan v=\frac{opposite\text{ of angle v}}{\text{hypotenuse}}=\sqrt[]{21} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Csin%20u%3D%5Cfrac%7Bopposite%5Ctext%7B%20of%20angle%20u%7D%7D%7B%5Ctext%7Bhypotenuse%7D%7D%3D%5Cfrac%7B2%7D%7B5%7D%20%5C%5C%20%5Ctan%20v%3D%5Cfrac%7Bopposite%5Ctext%7B%20of%20angle%20v%7D%7D%7B%5Ctext%7Bhypotenuse%7D%7D%3D%5Csqrt%5B%5D%7B21%7D%20%5Cend%7Bgathered%7D)
So we can go ahead and label the sides of the triangle as shown below;
We can find the value of u as shown below;
We can find v as shown below;
For this case we are going to assume that Nina wrote:
3/4 (1440) + 295.25 + (-33.50).
The expression is correct since we have:
ticket sales were three-fourths as much as yesterday. That means
3/4 (1440)
food sales were down by $ 33.50, that means:
295.25 + (-33.50)
Therefore, today's sales were:
3/4 (1440) + 295.25 + (-33.50).
answer
Nina's expression is correct
Answer:
17
Step-by-step explanation:
|-9-8|
Solve what is inside the absolute value
|-17|
Then take the non negative result
17
Your answer would be 520 micrograms, hope this helps :)
