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Answer:
D
Step-by-step explanation:
JK intercept line XY at the midpoint. This means that these points are all equidistant from the midpoint. Due to this, J and K are both an equal distance from M. So is X and Y.
Answer:
4(x-1)units
Step-by-step explanation:
In a given rectangle, the length of the rectangle is the shorter side while its breadth is the longer side.
Since we have 2 lengths and 2 breadths in a rectangle, the perimeter of the rectangle will be 2L+2x where
L is the length(shorter side) and x is the breadth (longer side).
According to the question, the shorter side(L) is 2 units less than the longer side(x). Mathematically,
L = x-2
Substituting L = x-2 into the formula of perimeter of a rectangle we have,
P = 2(x-2) + 2x
P = 2x-4+2x
P = 4x-4
P = 4(x-1)
The perimeter of the rectangle will be 4(x-1)units
Answer:
∠F = 42° to the nearest degree
Step-by-step explanation:
In this question, we are asked to calculate the value of the angle.
Kindly note that since one of the angles we are dealing with in the triangle is 90°, this means that the triangle is a right-angled triangle
Please check attachment for the diagrammatic representation of the triangle
From the diagram, we can identify that the EF is the hypotenuse and the length FG is the adjacent. Thus , the appropriate trigonometric identity to use is the cosine
mathematically;
Cosine of an angle = length of adjacent/length of hypotenuse
F = 42.07
∠F = 42° to the nearest degree
Answer:
The measure of angle B is 54°. The measure of angle A is 51°. The measure of angle AFE is 47°.
According to exterior angle theorem: It a triangle
Exterior angle = Sum of opposite interior angles
In triangle BED,
The measure of angle B is 54°.
In triangle ABC,
The measure of angle A is 51°.
In triangle AEF,
Using angle sum property,
Therefore the measure of angle AFE is 47°.
