Kyle buys 3 bags of Takis at the store. He pays $4.50 to the cashier. How much does each bag of Takis cost?
2 answers:
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Answer:
The similarity statements that describes the relationship between the two triangles are
Triangle S R P is similar to triangle X Z Y.
Triangle R S P is similar to triangle Z X Y.
Triangle R P S is similar to triangle Z Y X.
Step-by-step explanation:
Given:
Triangles below are similar,
In ΔSRP
∠S = 54 ° , ∠R = 41° , ∠P = 85°
In ΔXYZ
∠X = 54 ° , ∠Z = 41° , ∠Y = 85°
Solution:
If two triangles are similar then their corresponding angles are Equal.
When the two triangles are Similar then their Vertices are correspondence to each other. the correspondence of vertices are as
For, Δ SRP ~ Δ XZY
S ↔ X ∠S ≅ ∠X = 54°
R ↔ Z ∠R ≅ ∠Z = 41°
P ↔ Y ∠P ≅ ∠Y = 85°
The true statement
Triangle S R P is similar to triangle X Z Y.
Triangle R S P is similar to triangle Z X Y.
Triangle R P S is similar to triangle Z Y X.
- Triangle P R S is similar to triangle X Y Z,
Not correct it should be
Triangle P R S is similar to triangle Y Z X,
- Triangle P S R is similar to Triangle Z Y X
Not correct it should be
Triangle P S R is similar to Triangle Y X Z.
- Triangle S P R is similar to triangle X Z Y
Not correct it should be
Triangle S P R is similar to triangle X Y Z
<u><em>Answer:</em></u>
He would need to climb 480.97 m
<u><em>Explanation:</em></u>
The ground, the plane to climb and the altitude (100 m) all form a right-angled triangle
Therefore, we can apply the special trig functions.
<u>These functions are as follows:</u>
sin(θ) =
cos(θ) =
tan(θ) =
<u>From the diagram, we have:</u>
θ = 12°
The distance that he needs to climb is the hypotenuse
The altitude = 100 m is the opposite
<u>Therefore, we can use the sin function as follows:</u>
sin(12°) =
hypotenuse =
hypotenuse = 480.97 meters to the nearest hundredth
Therefore, he would need to climb 480.97 meters
Hope this helps :)