sinE is 0.5
What are similar triangles?
Two triangles will be similar if the angles are equal (corresponding angles), and sides are in the same ratio or proportion (corresponding sides). Similar triangles may have different individual lengths of the sides of triangles, but their angles must be equal and their corresponding ratio of the length of the sides must be the same.
Clearly, given triangle AFB and triangle DFE are similar.
We know that Similar Triangles have the same corresponding angle
We can find sinE as show below:
From diagram clearly
∠A=∠E
and ∠B=∠D
Since, ∠A=∠E
Taking sin on both sides
sinA=sinE
Give, sinA=0.5
sinA=sinE=0.5
⇒ sinE=0.5
Hence, sinE is 0.5
Learn more about Similar triangles here:
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Answer:
8- complementary angles
9- supplementary angles
10- supplementary angles
Step-by-step explanation:
Answer:
y = (-5/2)x + 1
Step-by-step explanation:
We can see that the line intersects (0,1) and (2, -4). We use these points to find the slope: m = (-4-1)/(2-0) = -5/2. Also, the y-intercept is (0,1), so b = 1. Substituting these values into y=mx +b, we get y = (-5/2)x + 1.
I hope this helps! :)
11. Assuming distance is proportional to time,
.. (3 h)/(7 h) = d/(665 km)
.. d = (665 km)*(3/7) = 285 km . . . . . . selection B
12. (30 L)/(1.5 L/min) = 20 min . . . . . . selection C
Answer:
KL= 63
Step-by-step explanation:
JK=7x+9 , JL=114 , KL=9x+9 ( if the points are on the same line and point J at the end point and K in the middle)
*J_______________________K___________________________L
JL=JK+KL
114=7x+9+9x+9
114-18=16 x
16x=98
x=98/16=6
KL= 9x+9
KL=9(6)+9
KL= 63