5x2 + 500 = 844.45, solving for x.
Subtract 500 from both sides: 5x2 = 344.45
Simplify (5*2): 10x = 344.45
Divide 10 from both sides: x = 34.45 (rounded)
Answer:
if your finding x then it's 45°
Answer:
The proof is explained below.
Step-by-step explanation:
Given ∠AEB=45° and also ∠AEC is right angle i.e ∠AEC=90°
we have to prove that EB is the angle bisector.
In the right angled triangle AEC,
∠AEC=90° and also ∠AEB=45°
∵ ∠AEB+∠BEC=∠AEC
⇒ 45° + ∠BEC = 90°
By subtraction property of equality
∠BEC = 45°
Hence, ∠AEB = ∠BEC = 45°
The angle ∠AEB equally divides by the line segment EB therefore, the line segment EB is the angle bisector of angle ∠AEB.
<h3>
Answer: A. 21</h3>
=======================================
C(n, r) = (n!)/(r!*(n-r)!) is the combination formula
C(7, 5) = (7!)/(5!*(7-5)!)
C(7, 5) = (7!)/(5!*2!)
C(7, 5) = (7*6*5!)/(5!*2!)
C(7, 5) = (7*6)/(2!) ..... note the "5!" terms divided and canceled
C(7, 5) = (7*6)/(2*1)
C(7, 5) = 42/2
C(7, 5) = 21
Answer: Problem 3: 20 laps per day,
Inequality: x >=20 per day
Problem 4: minimum of 8 employees
Step-by-step explanation:
Given that the goal is 600 laps in a month
And a month contains 30days, to achieve 600 laps, we divide 600 laps by 30 days
= 600/30= 20
Reem needs to swim a minimum of 20 laps per day to achieve her goal.
Inequality: x should be greater than or equal to 20 laps daily.
x >= 20
Problem 4:
Given that each employee can paint 85square feet per hour
The building has 1360 square feet and to be completed in two hours
Number of employees to complete the job in one hourwill be 1360/85 = 16
If 16 employees will complete 1360 per hour, then 8 employees will complete the work in 2 hours.