What is a termites favorite breakfast 1 9m 6m find x
1 answer:
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To solve this, we just need to find the distance between the points A and B in the number line, and then, divide that distance by 2.
Remember that the distance formula between tow point in the number line is:
From our point we can infer that
and 
, so lets replace the values:
Now, to find the coordinate of the midpoint, we just need to divide that distance by 2:
We can conclude that the coordinate of the point M, the midpoint of AB, is 4
Remember that the distance formula between tow point in the number line is:
From our point we can infer that
Now, to find the coordinate of the midpoint, we just need to divide that distance by 2:
We can conclude that the coordinate of the point M, the midpoint of AB, is 4
Answer:
∠EFH = 21°
∠HFG = 62°
∠EFG = 83°
Step-by-step explanation:
The diagram showing the angles has been attached to this response.
From the diagram, it can be deduced that;
Angle EFG = angle EFH + angle HFG
=> ∠EFG = ∠EFH + ∠HFG -------------------(i)
From the question:
∠EFH = (5x + 1)° -------------(ii)
∠HFG = 62° -------------(iii)
∠EFG = (18x + 11)° -------------(iv)
<em>Substitute these values into equation (i) as follows;</em>
(18x + 11) = (5x + 1) + 62
=> 18x + 11 = 5x + 1 + 62
<em>Collect like terms and solve for x</em>
18x - 5x = 1 + 62 - 11
13x = 52
x = 4
Now, to get each measurement, substitute x = 4 into each of equations (ii) - (iv)
∠EFH = (5x + 1)°
∠EFH = (5(4) + 1)°
∠EFH = (20 + 1)°
∠EFH = 21°
∠HFG = 62° [<em>Does not depend on x</em>]
∠EFG = (18x + 11)°
∠EFG = (18(4) + 11)°
∠EFG = (72 + 11)°
∠EFG = 83°
<u>Conclusion:</u>
∠EFH = 21°
∠HFG = 62°
∠EFG = 83°
