Answer:
It takes 70 minutes for 9 team members (painting 60 sq ft per minute) to paint a 4200 sq ft wall.
Step-by-step explanation:
4800 ÷ 20 = 240 sq ft per team member in 36 minutes
240 ÷ 36 = 6.67 sq ft per team member in 1 minute
6.67 × 9 = 60 sq ft per 9 team members in 1 minute
4200 ÷ 60 = 70 minutes (or 1 hour and 10 minutes)
Answer:
The answer is X=10
Step-by-step explanation:
Answer:
TUP and PUQ
Step-by-step explanation:
Adjacent angles share a common vertex and common side, but don't overlap.
The answer is (3,4) since x=3 and when the line is at x=3, it hits y=4. So the answer is (3,4).
L(1, -4)=(xL, yL)→xL=1, yL=-4
M(3, -2)=(xM, yM)→xM=3, yM=-2
Slope of side LM: m LM = (yM-yL) / (xM-xL)
m LM = ( -2 - (-4) ) / (3-1)
m LM = ( -2+4) / (2)
m LM = (2) / (2)
m LM = 1
The quadrilateral is the rectangle KLMN
The oposite sides are: LM with NK, and KL with NK
In a rectangle the opposite sides are parallel, and parallel lines have the same slope, then:
Slope of side LM = m LM = 1 = m NK = Slope of side NK
Slope of side NK = m NK = 1
Slope of side KL = m KL = m MN = Slope of side MN
The sides KL and LM (consecutive sides) are perpendicular (form an angle of 90°), then the product of their slopes is equal to -1:
(m KL) (m LM) = -1
Replacing m LM = 1
(m KL) (1) = -1
m KL = -1 = m MN
Answer:
Slope of side LM =1
Slope of side NK =1
Slope of side KL = -1
Slope of side MN = -1
