4.898 to 2 decimal places
1 answer:
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Answer:
The correct option is 4.
Step-by-step explanation:
If a figure it dilated by scale factor k, then the image and preimage are similar figures and their corresponding sides are proportional.
In triangle I, the base of the triangle is 1 unit and length of the perpendicular is 1 units.
In triangle II, the base of the triangle is 1 unit and length of the perpendicular is 2 units.
The corresponding sides are not proportional. It means both triangles are not similar. So, there is no dilation transforming triangle I into triangle II.
Therefore the correct option is 4.
Given:
m(ar KN) = 2x + 151
m(ar LN) = 61°
m∠NMK = 2x + 45
To find:
m∠NMK
Solution:
By property of circle:
<em>If a tangent and a secant intersect outside a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.</em>
Multiply by 2 on both sides, we get
Subtract 90 from both sides.
Subtract 2x from both sides.
Substitute x= 0 in m∠NMK.
m∠NMK = 2x + 45
= 2(0) + 45
= 45
Therefore m∠NMK = 45.