To solve this we need only substitute values of u and w, and then calculate.
<span>u+5v-w = 6 + 5v - 9 = 5v +6 - 9 = 5v - 3</span>
Answer:
24/13 or 1.8
Step-by-step explanation:
27b -3 - 14b -21 = 0
13b - 24 = 0
13b = 24
b = 24/13 or 1.8
Answer:
<h3>
The answer is D.</h3>
Step-by-step explanation:
Explanation:
The rule of a triangle is that it the other two sides could not be longer than longest side of the triangle. If the two sides added up together is greater than the longest side, the triangle would no longer be connected. Since 8 + 12 ft still works for the longest side of the triangle, it will be considered the length of the third side.
Do a proportion
60/100= x/54
Cross multiply and divide
54 x 60= 3,240
3,240 divided by 100 is 32.4
Now subtract
54- 32.4= 21.6
Answer is $21.6
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°
