Answer:
d) 135º
Step-by-step explanation:
Note that the angle DCU is the sum of the angles DCB and BCU. The angle DCB is 90º because A B C D is a square, then all its angles are equal to 90º.
After attaching B U C to A B C D, we obtain a trapezoid A U C D. Since A U C D has at least one pair of parallel sides, then AU should be parallel to CD, thus the angle CBU must be 90º.
B U C is isoceles, so we conclude that other two angles must have the same size, and due to the sum of the angles of a triangle being 180º, then both BUC and BCU are equal to 45º
As a result, the angle DCU is equal to 90º+45º = 135º. Option d is the correct one.
Answer:
see explanation
Step-by-step explanation:
to determine which of the ordered pairs are on the line, substitute the coordinates of the point into the left side of the equation and if the value obtained equals the right side then it lies on the line.
(, - )
2 + 7 = 9 ⇒ correct
(- 5, - 6 )
- 15 + 24 = 9 ⇒ correct
(1, - )
3 + 6 = 9 ⇒ correct
(- 1, 3 )
- 3 - 12 = - 15 ⇒ incorrect
The 3 ordered pairs
( , - ), (- 5, - 6), (1, - )
All line on the line 3x - 4y = 9
Answer:
1.25 mi
Step-by-step explanation:
Think of this in terms of a graph in the x-y axis
Bill starts out at point (0,0)
He walks 1/2 mile south (i.e 0.5 miles in the -y direction) and ends up at (0,-0.5)
Next he walks 3/4 mile (0.75 miles) in the +x direction and ends up at (0.75, -0.5)
Then he continues to walk 1/2 mile (0.5 miles) in south in the -y direction and ends up at (0.75, -1).
His final distance from the starting point (0,0) from his end point (0.75,-1) is simply the distance between the 2 coordinates (see picture for formula).
hence,
D = √ (0.75 -0)² + (-1 - 0)²
D = √ (0.75)² + (-1)²
D = 1.25
22 houses can be cleaned in 11 hours.
Step-by-step explanation:
It is given that;
6 hours = 12 houses cleaned
1 hour =
1 hour = 2 houses cleaned
In 1 hour, 2 houses can be cleaned, therefore,
11 hours = Time*houses cleaned in one hour
11 hours = 11*2 =22 houses cleaned
22 houses can be cleaned in 11 hours.
Keywords: unit rate, multiplication
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