Answer:
3:1
Step-by-step explanation:
Take the fraction and simplify it:
12/4 = 3/1
Dave jogged for 9 minuets and walked for 12 minuets
Answer:
Yes, △ABC ∼ △FED by AA postulate.
Step-by-step explanation:
Given:
Two triangles ABC and FED.
m∠A = m∠B
m∠C = m∠A + 30°
m∠E = m∠F = 
m∠D =
°.
Now, let m∠A = m∠B = 
So, m∠C = m∠A + 30° = 
Now, sum of all interior angles of a triangle is 180°. Therefore,
m∠A + m∠B + m∠C = 180

Therefore, m∠A = 50°, m∠B = 50° and m∠C = m∠A + 30° = 50 + 30 = 80°.
Now, consider triangle FED,
m∠D+ m∠E + m∠F = 180

Therefore, m∠F = 50°
m∠E = 50° and
m∠D = 
So, both the triangles have congruent corresponding angle measures.
m∠A = m∠F = 50°
m∠B = m∠E = 50°
m∠C = m∠D = 80°
Therefore, the two triangles are similar by AA postulate.
Answer:
Distance of the point from its image = 8.56 units
Step-by-step explanation:
Given,
Co-ordinates of point is (-2, 3,-4)
Let's say



Distance is measure across the line

So, we can write




Since, the equation of plane is given by
x+y+z=3
The point which intersect the point will satisfy the equation of plane.
So, we can write




So,









Now, the distance of point from the plane is given by,






So, the distance of the point from its image can be given by,
D = 2d = 2 x 4.28
= 8.56 unit
So, the distance of a point from it's image is 8.56 units.