The following transformations maintain their mathematical congruence. Translations (a translation is considered a 'direct isometry' because it not only maintains congruence, but it also, unlike reflections and rotations, preserves its orientation.
Well, assuming 5mm is the diameter, then 2.5 mm is the radius.
4 = 3/4m -6
add 6 to both sides
10 = 3/4m
divide both sides by 3/4
m = 10 / 3/4 = 10 *4 = 40 /3 = 13 1/3
the area is 180 cm. to find the perimeter you would do 15+15+14+14 to get 54 cm. So for area you do (l×w) which is 15×14=180.
The value of x is 126.87° and the value of y is 53°.
<h3>What is an obtuse and an acute angle?</h3>
An obtuse angle is an angle that is greater than 90° but lesser than 180° while an acute angle is an angle between 0-90°.
From the given information:
sin x° = 0.8
x = sin⁻¹ (0.8)
x = 53.13°
x + 53.1° = 180°
x = 180° -53.13°
x = 126.87°
If cos 127° = -cos y°,
-cos y = -0.6018
cos y = 0.6018
y = cos⁻¹ (0.6018)
y = 53°
Learn more about the determination of obtuse and acute angles here:
brainly.com/question/22323626
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