Step-by-step explanation:
∠2 and ∠7 are alternate exterior angles so they are equal.
So you can create the equation
40x-48 = 20x+52 Subtract 20x from both sides. Add 48 to both sides.
20x = 100
x = 5
if you need m∠2 Substtute 5 for x in 20x+52
20(5) + 52 = 100 +52 m∠2= 152°
m∠7 40(5) - 48 = 200-48 m∠7= 152°
Total surface area = lateral area of cone + lateral area of cylinder + area of base of cylinder:
cone: πrL = π(5cm)(13cm) = 65πcm²
cylinder: 2πrh = 2π(5cm)(12cm) = 120πcm²
base: πr² = π(5cm)² = 25πcm²
total surface area = 65πcm² + 120πcm² + 25πcm² = 210πcm²
How does this have anything to do with factoring?
Perimeter of the rectangle would just be 2(3t-2)+2(5t+7)
Simplify that to get 6t-4+10t+14, then 16t+10
Answer:
1,3
2,4
5,7
6,8
Step-by-step explanation:
congruent angles are angles across from each other and they equal the same
−3x+24+1=5
Step 1: Simplify both sides of the equation.
−3x+24+1=5
−3x+12+1=5
(−3x)+(12+1)=5(Combine Like Terms)
−3x+32=5
−3x+32=5
Step 2: Subtract 3/2 from both sides.
−3x+32−32=5−32
−3x=72
Step 3: Divide both sides by -3.
−3x−3=72−3
x=−76
answer
x=−76
