First question’s answer:
Since angle A = Angle E
Therefore, Angle B (=x) = Angle D
B = X
D = 66
By replacement B = X = D = 66
So, B = 66
Answer is (A)
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Second question’s answer:
Since Angle F = 63 & Angle C = (3X + 3)
Therefore, Angle F = Angle C
63 = (3X + 3)
Add (-3) into each side
63 + (-3) = (3X + 3) -3
3x + -3x = 0
63 + -3x = 3 + 0
63 + -3x = 3
Now, Add '-63' to each side of the equation
63 + -63 + -3x = 3 + -63
63 + -63 = 0
0 + -3x = 3 + -63
-3x = 3 + -63
3 + -63 = -60
-3x = -60
Divide each side by '-3'
x = 20
So, X angle value is 20 (X=20)
The answer is (C)
Good luck!
The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The distance between the kite and the ground is 57.547 feet.
<h3>What is Sine (Sinθ)?</h3>
The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. It is given as,
Sin(θ) = Perpendicular/Hypotenuse
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The hypotenuse is the longest side of the triangle.
For the given situation, the diagram can be drawn as shown below. Therefore, the distance between the ground and the kite is AB,
Sin(46°) = AB/AC
AB = Sin(46°) × 80 feet
AB = 57.547 feets
Hence, the distance between the kite and the ground is 57.547 feet.
Learn more about Sine:
brainly.com/question/21286835
#SPJ1
Answer:
X intercept is (-3,0)
Y intercept is (0,-6/5)
Step-by-step explanation:
Hope this helps!
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-Josh
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brainliest?
Answer:
Option A is the correct answer.
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis
change in the value of y = y2 - y1
Change in value of x = x2 -x1
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
From the graph,
y2 = 6
y1 = 2
x2 = 3
x1 = 1
Slope,m = (6 - 2)/(3 - 1) = 4/2 = 2
To determine the intercept, we would substitute x = 3, y = 6 and
m= 2 into y = mx + c. It becomes
6 = 2 × 3 + c = 6 + c
c = 6 - 6 = 0
The equation becomes
y = 2x