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:
$34.58
Step-by-step explanation:
If each bag of flour cost $2.47, then;
1 bag = $2.47
To calculate the cost of 14bags;
14 bags = x
x is the cost of 14 bags
Divide both expressions
1/14 = 2.47/x
cross multiply
1 * x = 14 * 2.47
x = $34.58
Hence Chazmire spent $34.58 on flour
2x + 2(2x+3) = 360
2x +4x +6 = 360
6x = 360 - 6
6x = 354
x = 354/6
x = 59
answer: x = 59
96 divided by 3 is 32
Therefor, it is divisible by 3
Is this what you were looking for?
The parking lot is 14 yards long by 7 yards wide.
A = W x L The formula is ....
L = W + 7 The problem tells us that ...
A = W (W + 7)
A = w^2 + 7w
98 = w^2 + 7x
... continue from there
