Answer:
$4345.5
Step-by-step explanation:
Income tax is 6% of total income. His income is $72425 so 6% (0.06) of $72425 is
$72425* 0.06= $4345.5
The mAngleVSR m Angle VSR is mathematically given as
= 80°
This is further explained below.
<h3>What is mAngleVSR?</h3>
Generally, Draw two lines: one that connects the points R, S, and U, and another that connects the points V, S, and T. (see attached diagram). At point S, these lines come together to create four angles, which are denoted by the letters RSV, VSU, UST, and TSR respectively.
The angles VSU and RST are both considered to be vertical angles, as are the angles RSV and UST. Vertical angles are equivalent, therefore
m∠VSU = m∠RST = 100°
m∠RSV = m∠UST
In conclusion, Angles RSV and VSU are considered supplementary angles since their sum is equal to 180 degrees. Som
m∠RSV = 180° - m∠VSU =180° - 100° = 80°
Angle RSV is the same as angle VSR (the name of the angle may be read either from the right to the left or from the left to the right).
Read more about angles
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Answer:
Options (1), (3), (5) and (6)
Step-by-step explanation:
Option (1)
Both the circles M and H are same in shape. Therefore, both are similar.
True
Option (2)
MH = MS = [Radii of a circle]
MH = MO + OH
MH = ME + OH [Since, MO = ME]
MH = 10 + 25 = 35 cm
Area of circle M = πr²
= π(35)²
= 1225π
Area of circle H = π(25)²
= 625π

Area of M = 1.96(Area of H)
False
Option 3
OH + MS = 25 + 35
= 60 cm
True
Option 4
m∠HMS = 90°
Can't be figured out with the given informations
False
Option 5
Diameter of circle H = 2(radius)
= 2(25)
= 50 cm
True
Option 6
Circumference of circle S = 2πr
= 2π(ES)
Circumference of circle M = 2π(MS)
Ratio of the circumference of circle S and M = 
= 
True.
Options (1), (3), (5) and (6) are correct.
Answer:
Part a): 100 degrees
Part b): Isosceles Triangle
Step-by-step explanation:
Part a): Since the angle measures of all triangles add up to 180 degrees and since the other two angles are 40 degrees, which add up to 80, we can use subtraction to find the answer.
180 - 80 = 100
Part b): Since only two of the three angles in this triangle have the same measure, we can find that it is an isosceles triangle, with base angles measuring 40 degrees, and the vertex angle being 100 degrees.