Answer:
m∠DAB = 101°
x = 7
y = 12
Step-by-step explanation:
Properties of a parallelogram,
1). Opposite sides of a parallelogram are equal and parallel.
2). Opposite interior angles are equal in measure.
3). Consecutive interior angles are supplementary.
By the first property,
BC ≅ AD
2x + 4 = 3x - 3
3x - 2x = 4 + 3
x = 7
AB ≅ CD
2y + 10 = 3y - 2
3y - 2y = 10 + 2
y = 12
By second property,
m∠ABC = m∠ADC
2z + 15 = 3z - 17
3z - 2z = 15 + 17
z = 32
Therefore, m∠ADC = (3z - 17)°
= 3(32) - 17
= 96 - 17
= 79°
By third property,
m∠ADC + m∠DAB = 180°
79° + m∠DAB = 180°
m∠DAB = 180° - 79°
m∠DAB = 101°
6378.1-3938.1=2440
Therefore raduis of mercury is 2440 km
Well, to word it more easily, adding a negative is just subtracting.
Here are some examples to help:
10 - 5 = 5. right? so...
10 + (-5) = 5.
The number of sides and number of angles is proportional, for it takes two sides to make an angle. So there are more sides.
Also a cube is not a polygon because a polygon is two dimensional and a cube is 3d.
The approximate radius of the cylinder is 4.5m
<h3>Surface area of cylinder</h3>
The formula for calculating the surface area of cylinder is expressed as:
SA = 2πr(r+h)
where
r is the radius
h is the height
Given the following parameters
SA = 221.1 square meters
height = 7.8m
Substitute
221.1= 2(3.14)r(r+7.8)
221.1 = 6.28r^2 + 15.6r
Factorize to have
6.28r^2 + 15.6r - 221.6 = 0
On factoring, the value of the radius is 4.5 meters
Learn more on surface area of cylinder here: brainly.com/question/76387
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