Answer:
Equation pf parallel line y = 4x + C
now this line pass through (-2,4) so it satisfies the eqn
Then, 4 = -8+C
C = 12
<h2>Hence required equation:- </h2>
<h2>y = 4x+12.....</h2>
hope it helps
Answer:
-2
Step-by-step explanation:
Rise over run
Pick a point and check how much it goes vertically, then divide it by how much it goes horizontally.
An isosceles right triangle is composed of a right angle and two congruent acute angles. In this case, 90 + 2x = 180 where x is the acute angle. x is equal to 45 degrees. Using sine law, 8/sin 90 = y / sin 45 where y is the leg of the triangle. the leg's length is equal to 4 sqrt 2.
Answer:
Step-by-step explanation:
1. sinФ = cos 25
25 ° is in the between 0 and 90°
therefore it can simply represent
cosФ= sin (90-Ф) = sin (90 - 25) = sin 65
2. sin(Ф/3 + 10) = cos Ф
cos Ф = sin (90 -Ф)
sin(Ф/3 + 10) = cos Ф
sin(Ф/3 + 10) = cos Ф = sin(90-Ф)
Ф/3+10=90-Ф
10Ф+3/30 = 90-Ф
10Ф+3 = 30(90-Ф)
10Ф+3 = 2700-30Ф
10Ф+30Ф=2700-3
40Ф = 2697
Ф = 2697 / 40 = 67.425 ≅ 67.4°
Answer:
Part a) The ratio of the perimeters is 
Part b) The ratio of the areas is 
Step-by-step explanation:
Part A) What is the value of the ratio (new to original) of the perimeters?
we know that
If two figures are similar, then the ratio of its perimeters is equal to the scale factor
Let
z-----> the scale factor
x-----> the perimeter of the new triangle
y-----> the perimeter of the original triangle

we have

substitute

Part B) What is the value of the ratio (new to original) of the areas?
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z-----> the scale factor
x-----> the area of the new triangle
y-----> the area of the original triangle

we have

substitute

