Okay so
If there are 28 white ducks, and twice as many brown ducks thats
28x2=56
So the total amount of ducks is 56(brown)+28(white)=84
Then, if half the amount of while ducks fly away thats
84-14=70 (You get 14 by diving the amount of white ducks by 2 28/2=14)
Therefore, there are 70 ducks in the pond after half the amount of white duckies fly away.
Answer:
x = -1
Step-by-step explanation:
By graphing x = -1, you will see that the line splits this rhombus in two equal halves
Answer:
True
Step-by-step explanation:
Because the angle with positive side of x axis is obtuse angle??
Answer:
x = 31.5
Step-by-step explanation:
The triangle on the left has 2 congruent sides and is therefore isosceles.
Thus the 2 base angles are congruent with measure
= = 63
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
The triangle on the right is also isosceles with base angles of measure x
63° is an external angle of the triangle on the right, thus
x + x = 63
2x = 63 ( divide both sides by 2 )
x = 31.5
Answer:
Step-by-step explanation:
21)
The sine rule is expressed as
a/SinA = b/SinB = c/SinC
Where a, b and c are the length of each side of the triangle and angle A, Angle B and angle C are the corresponding angles of the triangle. Therefore,
12/Sin 64 = x/Sin 12
Cross multiplying, it becomes
xSin 64 = 12Sin12
xSin 64 = 12 × 0.209
0.8988x = 2.508
x = 2.508/0.8988
x = 2.79
The sum of the angles in a triangle is 180 degrees. Therefore, the unknown angle in triangle is
180 - (64 + 12) = 104 degrees. Therefore,
y/Sin104 = 12/Sin64
ySin64 = 12Sin104
0.8988y = 12 × 0.9703 = 11.6436
y = 11.6436/0.8988
y = 12.95
22) we would apply the law of Cosines which is expressed as
a² = b² + c² - 2bcCosA
Therefore,
28² = 20² + 24² - 2 × 20 × 24Cosx
784 = 400 + 576 - 960Cosx
784 = 976 - 960Cosx
960Cosx = 976 - 784 = 192
Cosx = 192/960 = 0.2
x = Cos^(-1)0.2
x = 78.5°