Answer:
1) x = 8
2) ∠RPS = 36°
Step-by-step explanation:
<u>GIVEN :-</u>
- ∠QPS = 180°
- ∠QPR = 7x + 88
- ∠RPS = 3x + 12
<u>TO FIND :-</u>
- Value of x
- Measure of ∠RPS
<u>FACTS TO KNOW BEFORE SOLVING :-</u>
In a straight line , if there are two angles such that their sum is equal to straight angle (or 180° in other words) , then those angles are known as linear pair.
<u>PROCEDURE :-</u>
1)
Measure of ∠QPS = 180° and it comprises of ∠QPR & ∠RPS.
⇒ ∠QPR & ∠RPS are linear pair.
⇒ ∠QPR + ∠RPS = 180°
⇒ 7x + 88 + 3x + 12 = 180°
⇒ 10x + 100 = 180
⇒ 10x = 180 - 100 = 80
⇒ x = 80/10 = 8
2)
x = 8. So,
∠RPS = 3×8 + 12 = 24 + 12 = 36°
Answer: That is a function!
Step-by-step explanation:
The length is 19.5 feet. this is because when you add the yards, it equals 15 feet. Next, add 1 + 2 feet from the first and second jump. 10+8 inches equal 1.5 feet. Next, add 15 feet+3 feet+1.5 feet to get 19.5 feet.
Answer:
That isn’t possible
Step-by-step explanation:
Answer:
x = 3 + i+√5
x = 3 + i-√5
OR
x= 4 - √6
x= 4 +√6
Step-by-step explanation:
(x - 3)² +6=1
(x - 3)² + 6 = 1
-6 -6
sq root > (x - 3)² = -5
x-3 = i±√5 (i because neg. number)
x = 3 + i±√5
since its ±
two possible answers
x = 3 + i+√5
x = 3 + i-√5
Or
(x - 3)² +6=1
(x-3)+ √6= √ 1
x-3 = 1 - (±) √6
x= 4 - (±) √6
Answers
x= 4 - √6
x= 4 +√6