Don claims that the trianlges are congruent by SAS triangle congruence criterion because a sequence of rigid motions carries \tr
iangle ABC△ABC onto \triangle DEF△DEF. Select all that can be used to support Don's claim.
A -a rotation of 30^o30 clockwise about vertex A, follwed by a translation that carries AB to DE, and a reflection over AC.
B- a rotation of 30^o30 clockwise about vertex A, follwed by a translation that carries AB to DE, and a reflection over AB.
C- a rotation of 90^o90 counterclockwise about vertex A, follwed by a translation that carries AC to DF, and a reflection over AC.
D- a rotation of 90^o90 counterclockwise about vertex A, follwed by a translation that carries AC to DF, and a reflection over AB.
A -a rotation of 30^o30 clockwise about vertex A, follwed by a translation that carries AB to DE, and a reflection over AC.
B- a rotation of 30^o30 clockwise about vertex A, follwed by a translation that carries AB to DE, and a reflection over AB.
C- a rotation of 90^o90 counterclockwise about vertex A, follwed by a translation that carries AC to DF, and a reflection over AC.
D- a rotation of 90^o90 counterclockwise about vertex A, follwed by a translation that carries AC to DF, and a reflection over AB.
2 answers:
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Please consider the attached graph.
We have been given that a helicopter flies 8 km due north from A to B. It then flies 5 km from B to C and returns to A as shown in the figure. The measure of angle ABC is 150°. We are asked to find the area of triangle ABC.
We will use trigonometric area formula to solve our given problem.
, where angle b is angle between sides a and c.
For our given triangle and measure of angle b is 150 degrees.
Therefore, the area of the triangle ABC is 10 square kilo-meters and option 'c' is the correct choice.
Answer:
C
Step-by-step explanation:
Use formula
where
I = interest
P = rpincipal
r = rate (as decimal)
t = time (in years)
In your case,
P = $800
r = 0.04 (4%)
t = 5,
so