At a certain distance fro a pole, the angle of elevation to the top of the pole is 28 degrees. IF the pole is 6.3 feet tall, wha
1 answer:
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For this case we must follow the steps below:
step 1:
We place each of the given points on a coordinate axis
Step 2:
We join the AC points (represented by the orange line)
We join the BD points (represented by the blue line)
It is observed that the resulting figure after placing the 4 points on a coordinate axis, turns out to be a rhombus.
In addition, the blue and orange lines turn out to be perpendicular, that is, they have an angle of 90 degrees between them. This can be verified by finding the slopes of each of the two straight lines (blue and orange), which must be opposite reciprocal, that is, they comply:
In this case, the slope of the orange line is and that of the blue line is
Then , it is verified that they are perpendicular.
Thus, the conclusion is that ABCD is a rhombus and AC is perpendicular to BD.
Answer:
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Option D
Answer:
The son in 12 years old and the woman is 36 years old
Step-by-step explanation:
Let the woman’s current age be w years and son’s age be s years. According to the question, the woman is 3 times as old as her son then, w=3s Also, it is given that 8 years ago the product of their ages were 112 Therefore, (w-8)(s-8)=112 (3s-8)(s-8)=112 Solving for s, we get By using quadratic equation
s=12 We know that w=3s w=
= 36. Hence, the woman’s age is 36 years and the son’s age is 12 years.