The perimeter of a rectangular pool = 2l + 2w
If the width is 5m longer than the length,
Then Perimeter = 2(l + 5) + 2l
= 4l + 10 {THE EQUATION}
Since Perimeter = 58 m
Then 4l + 10 = 58 m
⇒ l = 12 m
Thus the Length of the Pool = 12 m
The greatest common factor between any list of numbers is the biggest multiple that they all share.
For example, 5, 35 and 50 all share 5 as the biggest common factor, making 5 the greatest common factor.
Now that we have our example and definition out of the way, let's make out the factors.
12:
1 x 12
2 x 6
3 x 4
40:
1 x 40
2 x 20
4 x 10
5 x 8
60:
1 x 60
2 x 30
3 x 20
4 x 15
5 x 12
6 x 10
Now that we have our factors, let's look for the biggest number that they have in common.
They all share 4 as the biggest number.
Your GCF (Greatest Common Factor) is 4.
I hope this helps!
Answer:
y = -3x + 3
Step-by-step explanation:
Perpendicular slope: -3
y -(-3)= -3(x-2)
y+3= -3x + 6
y = -3x + 3
Answer:
1. The measure of ∠WOV is 60°. You would use complementary angles that are adjacent (∠WOV, and ∠XOW)
2. The measure of ∠YOZ is 60°. You would use the vertical angles that are non-adjacent (∠WOV, and ∠YOZ). These two angles are congruent so they would have the same measure. These angles combined also create supplementary angles
3. Another way to find the measure of ∠YOZ would be to make/write an equation and solve for x. For example, (3x+30)°=60°. x would equal 10 because 10x3=30+30=60°
Step-by-step explanation:
1. Since a complementary angle would equal 90°, simply subtract 30° from 90° resulting in 60°.
2. Because vertical angles are congruent and (∠WOV, and ∠YOZ) are a pair of them, they equal the same as each other so they're both 60°.
3. You can make any equation with x included as long as it equals 60° mine was just an example you can make your own like 10x+10=60 or 4x+20=60. Also to create your equation you also need to use the angle fact of the vertical angles
