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1 answer:
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Answer:
The solution is the point (0.5,-3)
Step-by-step explanation:
we have
----> equation A
----> equation B
Solve the system by substitution
Substitute equation B in equation A
Solve for x
Adds 5 both sides
Divide by 4 both sides
therefore
The solution is the point (0.5,-3)
<em>Verify your answer using the graph</em>
using a graphing tool
Remember that the solution of the system of equations is the intersection point both graphs
The intersection point is (0.5,-3)
therefore
The solution is the point (0.5,-3)
see the attached figure
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
