Answer:
∠ SPQ = 75°
Step-by-step explanation:
The sum of the 4 angles in a quadrilateral = 360°
Subtract the sum of the 3 angles from 360 for ∠ SPQ
∠ SPQ = 360° - (90 + 74 + 121)° = 360° - 285° = 75°
The system of linear equations that relates x and y:
x= 15 + y
5 x = 2 y+ 525
We will solve this system using substitution method:
5(15 + y)=2 y + 525
75 + 5 y = 2 y + 525
5 y - 2 y = 525 - 75
3 y = 450, y = 450 : 3 y = 150
x = 15 + y x = 15 + 150 x = 165
Answer: Aaron´s height is 165 cm and Peter´s height is 150 cm.
It would help if you had a four quadrant graph, but the distance would be (8,11).
Answer:
d. 0, 1.369
Step-by-step explanation:
Given:
The equation is: 
Adding
on both sides, we get

Using the identity
, we get

Factoring out
, we get

Therefore, the solution of the given equation is either 0 or 1.369.
The correct choice is d.
The sale price of the supplies is $48.
<u>Step-by-step explanation</u>:
- Regular price = $60.
- Discount price = 20% of $60
⇒ (20/100) 60
⇒ (1/5) 60
⇒ 12
∴ The discount price is $12.
The sale price = regular price - discount price.
The sale price = $60 - $12 = $48