0.87 written as a fraction is _____. options: 8 over 8 79 over 90 81 over90
2 answers:
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Answer:
5
Step-by-step explanation:
Given
← substitute p = 4 and q = 2
= =
= 5
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:
Compare the given equation of the circle (x - 1)² + (y -2)² = 2²
with standard form of circle: (x - h)² + (y - k)² = r²
Here, (h, k) is the center of the circle
and r is the radius of the circle.
Thus, The center of the circle is: (1, 2)
Also, for finding the point of intersections of (x - 1)² + (y -2)² = 2² and y = 2x + 2,
Substitute the value of y from equation of line in the equation of circle.
(x - 1)² + (2x + 2 - 2)² = 2²
⇒ (x - 1)² + (2x)² = 2²
⇒ x² + 1 - 2x + 4x² = 4
⇒ 5x² - 2x - 3 = 0
Applying Middle term splitting method
5x² - 5x + 3x - 3 = 0
⇒ 5x(x - 1) + 3(x - 1) = 0
⇒ (5x + 3)(x - 1) = 0
⇒ x = and x = 1
Thus, we get coordinates: and (1, 4)