Answer:
3/4 1/2 =3/5
Step-by-step explanation:
9514 1404 393
Answer:
297 miles
Step-by-step explanation:
The round-trip distance from X to Y is double the one-way distance. The distance from X to Y is 648/2 = 324 miles.
That distance is the sum of distances from X to Z and Z to Y. Then ...
XZ +ZY = XY
27 +ZY = 324
ZY = 297
It is 297 miles from City Z to City Y.
Answer:
x= 6- 3y/2 y= 4- 2x/3
Step-by-step explanation:
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°
