So a complementary angle is going to equal 90 degrees.
The equation is : x - 10 + 4x - 10 = 90
Then, add together the matching terms : 5x - 20 = 90
Add 20 to both sides : 5x = 110
Then divide both sides by 5 : x = 22
Insert the value 22 into the first equation : (22 - 10) + (4*22 - 10) = 90
Solve : 12 + 78 = 90
Angle UVW = 12 and angle XYZ = 78
Answer:
Step-by-step explanation:
Given:
E is the midpoint of segment AC.
AE ≅ EC
∠BAE ≅ ∠ECD
To prove:
ΔAEB ≅ ΔCED
Statements Reasons
1). AE ≅ EC 1). Given
2). ∠BAE ≅ ∠ECD 2). Given
3). ∠AEB ≅ ∠CED 3). Vertically opposite angles theorem
4). ΔAEB ≅ ΔCED 4). By ASA postulate of congruence
Another way to group the factors would be 3x(2x5)
The product would be 30
hope this helps..:)
let's label each pump A, B, and C, just for convenience. A fills the tank by 1/50 every minute, B fills the tank by 1/60 every minute, and C drains it by 1/75 every minute. Now we can put them all into one function: t(1/50 + 1/60 - 1/75) = 1, where t = our time in minutes and 1 = the tank being full.
next, we solve for t: t = 300/7 minutes, or approximately 42.86 minutes.
