∠E and ∠F are vertical angles. If m∠E=(5x+55)° and m∠F=(11x-53)°, find m∠E
1 answer:
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Answer:
Answer is B. 36 degrees
Step-by-step explanation:
From the diagram,
angle WBY = 2 × angle WXY
angle WBY = 72°
angle WXY =
Answer:
The bird has to fly 7.5 m
Step-by-step explanation:
Please see diagram in attached image.
Notice that there is a right angle triangle that defines the situation, and you know two elements of such triangle;
1) one acute angle (), and
2) the side opposite to that angle.
What you need to find is the side adjacent to the angle, which is what the bird needs to fly horizontally to be above the fish. We named that "x".
The trig function that relates such triangle elements is the tangent:
which rounded to the nearest tenth is: 7.5 m
When two variables are inversely proportional the relation between them can be written as:
Here, k is the constant of proportionality and is always equal to the product of the two variables. So using the given values of z and x, we can find k first.
The constant of proportionality for the given inverse proportion comes out to be 2. Using the value of k in the equation, we get:
We have to find the value of z when x=28. So replacing x by 28, we get:
Thus, rounding of to nearest thousand the value of z comes out to be 0.071 if x is equal to 28.