Answer:
The answer is below
Step-by-step explanation:
In triangle DEF, ∠D = 30°, ∠F = 60° and EF = 6. Find DE + DF.
Solution:
A triangle is a polygon with three sides. There are different types of triangles such as isosceles triangle, scalene triangle equilateral triangle, right angled triangle.
In triangle DEF:
∠D + ∠E + ∠F = 180° (sum of angles in a triangle)
30 + ∠E + 60 = 180
∠E + 90 = 180
∠E = 180 - 90
∠E = 90°
This is a right angled triangle since one angle = 90° (∠E).
Using sine rule:
Hence DE + DF = 12 + 10.39 = 22.39
Given:
A(3,0)
B(1,-2)
C(3,-5)
D(7,-1)
1) reflect across x=-4
essentially calculate the difference between the x=-4 line and Px and "add" it in the other direction to x=-4
A(-4-(3-(-4)),0)=A(-11,0)
B(-4-(1-(-4)),-2)=B(-9,-2)
C(-4-(3-(-4),-5))=C(11,-5)
D(-4-(7-(-4)),-1)=D(-15,-1)
2) translate (x,y)->(x-6,y+8)
A(-3,8)
B(-5,6)
C(-3,3)
D(1,7)
3) clockwise 90° rotation around (0,0), flip the x&y coordinates and then decide the signs they should have based on the quadrant they should be in
A(0,-3)
B(-2,-1)
C(-5,-3)
D(-1,-7)
D) Dilation at (0,0) with scale 2/3, essentially multiply all coordinates with the scale, the simple case of dilation, because the center point is at the origin (0,0)
A((2/3)*3,(2/3)*0)=A(2,0)
B((2/3)*1,(2/3)*-2)=B(2/3,-4/3)
C((2/3)*3,(2/3)*-5)=C(2,-10/3)
D((2/3)*7,(2/3)*-1)=D(14/3,-2/3)
Answer:
Step-by-step explanation:
i say its A
1g = 1000mg
40,000mg = 40g
10xg=40g
X=4
Hope this helps.
Answer:
Can you post a Pic plzz
Step-by-step explanation:
Thank you
