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Explanation:
See the attached image below to see one way you could draw the diagram based on the given info. The drawing is not to scale.
The color coded angles hopefully let you see which angles are congruent to one another
These three pairs of congruences are possible because of the angle bisections that occur.
Since EXB is 20, this means DXE is 20 as well. They combine to 20+20 = 40, which is the measure of angle DXB (angle addition postulate).
Angle DXB is congruent to CXD, so both are 40 and they combine to 40+40 = 80. This is the measure of angle CXB.
Finally, angle CXB = 80 doubles to 160 which is the measure of angle AXB. Or you could say
angle AXB = (angle AXC) + (angle CXB) = 80 + 80 = 160.
Answer:
a.
b.
Step-by-step explanation:
The formula for calculate the area of a rectangle is:
Where "l" is the lenght and "w" is the width
a. We know that the kitchen measures 3.75 meters by 4.2 meters; then we can say that:
Therefore, substituting these values into the formula, we get that the area of the kitchen is:
b. The area of the living room is one and a half times (1.5 times) that of the kitchen, this is:
Therefore, the total of the living room and the kitchen is: