The slope of the line = (2- -8) / (3 - - 5) = 10 / 8
= 5/4
y - y1 = m(x - x1) where m = slope and (x1, y1) is a point on the line so here we have:-
y - 2 = 5/4(x - 3)
y = 5/4x - 15/4 + 2
y = 5/4 x - 7/4 is the answer
Answer:
Option B
Step-by-step explanation:
From the picture attached,
In ΔABC,
m∠B = m∠C = 75° [Isosceles triangles]
By applying triangle sum theorem,
m∠A + m∠B + mC = 180°
m∠A + 75° + 75° = 180°
m∠A = 180° - 150°
m∠A = 30°
In triangle PQR,
m∠P = m∠Q [Isosceles triangle]
By applying triangle sum theorem,
m∠P + m∠Q + m∠R = 180°
2(m∠P) + 30° = 180°
m∠P = 75°
m∠P = m∠Q = 75°
In ΔABC and ΔRPQ,
m∠B ≅ m∠Q [Given]
m∠C ≅ m∠R [Given]
Therefore, by AA property of similarity of two triangles, both the triangles will be similar.
ΔABC ~ ΔRPQ
Option B will be the answer.
The statement which is true is ΔGHI ~ ΔGJK.
<h3>What is Translation?</h3>
This is commonly used in geometry to describe a function which moves object at distances.
This therefore means that translation of ∠I onto ∠K means shifting of point I to point K.
The triangles given are HGI and JGK.
Translation in this scenario therefore means that the triangles are similar only if other angles are mapped to their corresponding angles.
It confirms that ΔGHI ~ ΔGJK thereby making it the most appropriate choice.
Read more about Translation here brainly.com/question/16253702
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Answer: Equation (y = 3x + 10)
Each time the number of triangles increase, the 3 also increases. For example: 2 Triangles = 3 + 3 and the 2 of the 5 remains the same no matter how many triangles there are.
Step-by-step explanation:
Let x = Number of triangles
Let y = Perimeter
Plug in formula: y = 3x + 10
y = 3 (2) + 10
y = 6 + 10
y = 16
Answer:
49.
Step-by-step explanation:
