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°
<span>a
-7xy3 + 8x2y2 - + 4x4</span>
The answer is 18 equal line segments are needed to make 6 triangles.
Multiply the two numbers
3/5*7/1= 21/5
21/5= 4 1/5 miles
Answer: 4 1/5 miles
243.875 rounded to the nearest tenth is...... 243.9 :)
243.875 rounded to the nearest hundredth is ...... 243.88 :)
243.875 rounded to the nearest ten is ...... 240 :)
243.875 rounded to the nearest hundred is ......200 :)
thank you for the question and hopefully this helped you :)