When would there be only four different equations for a set of math mountain numbers?
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
Answer:
y = 4(2^x)
Step-by-step explanation:
To write the exponential values, compare the y values. Notice they are multiples of 8 and they are increasing. This means the base is likely 2 or 4 since each of these numbers has the same multiples. Our options also only include base 2 and 4.
Try 4^1 = 4 and 4^4 = 256.
Try 2^1 = 2 and 2^4 = 16.
None of these give the exact values in the points. This means there is an initial value multiplied to them as well.
When x = 1 and the base is 4, the value is too small. But when x = 4, the value is too large. This cannot be reconciled.
When x = 1 and x = 4 for the base 2, both values are too small and could be multiplied by the same number to get the right values.
2*4 = 8
16*4 = 64
The initial value is 4 so the function is