Answer:
m∠C = 102°
Step-by-step explanation:
This diagram is a Quadrilateral inscribed in a circle
The first step is to determine what m∠B
is
The sum of opposite angles in an inscribed quadrilateral is equal to 180°
m∠D + m∠B = 180°
m∠B = 180° - m∠D
m∠B = 180° - 80°
m∠B = 100°
Second step is we proceed to determine the exterior angles of the circle
m∠ADC = 2 × m∠B
m∠ADC = 2 × 100°
m∠ADC = 200°
m∠ADC = m∠CD + m∠AD
m∠AD = m∠ADC - m∠CD
m∠AD = 200° - 116°
m∠AD = 84°
The third step is to determine m∠BAD
m∠BAD = m∠AD + m∠AB
m∠BAD = 84° + 120°
m∠BAD = 204°
The final step Is to determine what m∠C is
It is important to note that:
m∠BAD is Opposite m∠C
Hence
m∠C = 1/2 × m∠BAD
m∠C = 1/2 × 204
m∠C = 102°
Answer:
A randomly chosen female voter is Other.
Step-by-step explanation:
Well, you just have to read it and ask yourself which one is specific to only one gender, or which one talks about only one gender, so the answer here is:
A randomly chosen female voter is Other.
Answer:
-6 degrees Fahrenheit
Step-by-step explanation:
Begginging temp: 26 degrees
Temp. dropped: 32 degrees
26 - 32 = -6 degrees
Answer:
She was wrong in her analysis because the sales discount of 25% is the discount on the original cost of the dress and not the purchasing cost of the dress as explained below:
Step-by-step explanation:
From the question:
Purchasing cost price of the dress = £30
However, this cost (£30) was after a 25% Sales Discount
It, therefore, implies that £30 is equal to 75% of the cost price
75% of the original cost price = £30
100% of the original cost price = (30 x100%)/75%
Original cost price = £40
Therefore the 25% discount / savings on the cost
= £ (40-30)
= £10
She saved £10 by buying the dress at £30 instead of the original cost of £40
Answer:
875cm^2
Step-by-step explanation:
since opposite sides are equal
3x-y=2x+y
x=2y
y=x/2 ....(i)
thus new length=2x+y
=2x+(x/2) [using (i)]
=(4x+x)/2
l=5x/2 .....(ii)
now,
perimeter=2(l+b)=120cm
l+b=60cm
from figure and using (ii)
[5x/2]+2x-3=60
[5x+4x-6]/2=60
9x-6=120
9x=126
x=126/9
x=14 ..........(iii)
substitute (iii) in (i)
y=14/2
y=7 ...........(iv)
From figure,
length=2x+y [using (iii) and (iv)]
=2x14+7
length=35cm
breadth=2x-3
=2x14-3 ....[using(iii)]
=28-3
breadth=25cm
now,
Area=lxb
=35x25
=875cm^2
