The architect's puzzle is to build as many different houses as possible from four cubes given that the cubes must be placed face to face. Orientation on the 'block of land' determines whether two houses are the same. If a house could be rotated on the block to fit the shape of another house, then the two are the same.
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Answer:
a) y = 0 +3x
b) 3; the line rises 3 units for each unit to the right
c) (0, 0); the line crosses the y-axis at y=0
Step-by-step explanation:
a. The y-intercept is the point on the y-axis where the line crosses. That point is (0, 0). The y-coordinate there is the value of b in the equation.
The slope is the ratio ...
m = rise/run
The points marked are separated by 3 units vertically for each 1 unit horizontally. Points on the right are above those on the left, so the "rise" is positive for a positive "run".
m = 3/1 = 3
Then the equation is ...
y = 0 + 3x
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b. The slope is 3. It is the ratio of rise to run.
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c. The y-intercept is 0. It is the y-coordinate of the point where the line crosses the y-axis.
Answer: B pickup truck a to b is 200 in 10secs c to d is 300 in 10secs you drive 40 miles in 20 min then you stop to get gas for 10 min then drive 40 miles back for 20 min.
Step-by-step explanation: cocomelan
Answer:
Option (2). None
Step-by-step explanation:
A quadrilateral ABCD has been given with a property,
m∠7 = m∠4
Option (1). AB║ DC
For AB║DC, angle 7 and angle 3 should measure the same.
(By the property of alternate angles)
Therefore, by the given property we can not deduce AB║DC.
Option (3). AD║BC
For AD║BC, angle 7 and angle 3 must be equal in measure.
(By the property of alternate angles)
Therefore, by the given property we can not deduce AD║DC
Option (2). None will be the answer.
Answers:
x = 3
y = 9
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Explanation:
We're told that angle A is 20x. The diagram shows we have an equilateral triangle (since all three sides are the same length), so we know that all angles are the same measure and they are equal to 60 degrees.
Equate 20x and 60. So we solve 20x = 60 and that leads to x = 3 after you divide both sides by 20.
Since we have a triangle with all sides equal, we know that AB = AC = 9, therefore y = 9 because y is the length of AB.
