Answer:
m∠ TRS = 60° , m∠ SRW = 120°
Step-by-step explanation:
First, find x
∠TRS = ∠VRW (vertically opposite angles are equal)
x + 40° = 3x
x - 3x = -40
-2x = -40
x = -40/-2
x = 20
m∠ TRS = 60° [x + 40 = 20+40 = 60]
m∠ SRW + m∠ TRS = 180° (linear pair)
m∠ SRW + 60° = 180°
m∠ SRW = 180° - 60°
m∠ SRW = 120°
hope this helps you
Answer: 60
Step-by-step explanation:
Let the side lengths of the rectangular pan be m and n. It follows that (m-2) (n-2)=
So, since haf of the brownie pieces are in the interior. This gives 2 (m-2) (n-2) =mn
mn- 2m - 2n- 4 = 0
Then Adding 8 to both sides and applying, we obtain (m-2) (n-2) =8
Since now, m and n are both positive, we obtain (m,n) = (5,12), (6,8) (up to ordering). By inspection, 5. 12 = 60
which maximizes the number of brownies in total which is the greatest number.
Hope that helped! =)
The problem says that the expression (3x + 5)(5x − 1) <span>represents the area of the floor of the building in square meters. Therefore, to solve this problem you have to follow the proccedure shown below.
1. First, to simplify the expression (3x + 5)(5x − 1) you must apply the distributive property. Then, you obtain:
15x</span>²-3x+25x-5
2. Then, you have:
15x²+22x-5
3. As you can see, the correct answer is the last option: 15x²+22x-5