Answer:
csc θ = 
/6
sec θ = /7
tan θ = 6/7
Step-by-step explanation:
The first thing to do will be to compute the length of the hypotenuse using the Pythagoras theorem;
6^2 +7^2 = hypotenuse^2
hypotenuse =
csc θ = 1/sinθ
sinθ = opposite side/hypotenuse
= 6/
csc θ = /6
sec θ = 1/cosθ
cosθ = adjacent side/hypotenuse
sec θ = hypotenuse/adjacent side
= /7
tan θ = Opposite side/adjacent side
= 6/7
The answer is; "Quadrilateral ABCD is congruent to quadrilateral A′B′C′D′ because you can map quadrilateral ABCD to quadrilateral A′B′C′D′ using a translation 7 units to the right, which is a rigid motion."
Answer:
The width is 8 and the length is 37
Step-by-step explanation:
Answer: -42 is the answer.
Answer:
4 : 2
Step-by-step explanation:
We are given ΔABC ≅ ΔA'B'C'.
When two triangles are congruent, their corresponding sides and angles are congruent.
Since, the sides of the triangles are in relation,
AB = 2 × A'B' and side BC = 2 × B'C' i.e. 4 = 2 × 2 and 9 = 2 × 4.5.
Therefore, the ratio of the corresponding sides are given by 4 : 2 and 9 : 4.5 i.e. 2 : 1.
Since, the ratio of the corresponding sides comes out to be 2 : 1 = 4 : 2.
Hence, the ratio of the corresponding sides is 4 : 2.
