For First Question:
As, we find the value of x for parallel condition of line a and b
so, m∠3 = m∠1 and m∠2 = 180°-m∠1 = 180°-(2x+15)° [ As straight line contain total 180°]
Now,
m∠2 = <span>m∠6 [ Because they are corresponding angles]
180</span>-(2x+15)=(3x+10)
180=3x+10+2x+15
x= 31 satisfies the condition of a||b
For second Question:
As, it is issoceles triangle So side AC = side BC So, m∠A=<span>m∠B
</span>4x+5=5x-1
x=6
So,
m∠A=29° and triangle contain total 180°
<span>m∠C=180-29-29
</span> =122°
Option D is correct
Answer:
13.04 cm^2
Step-by-step explanation:
Larger Circle diameter is 12.5 cm and the smaller is 3.5 cm
The Area of a circle is A = πr^2 = πd^2/4
Larger Circle divide the diameter by 2 = 6.25 cm
Smaller Circle dive the diameter by 2 = 1.75 cm
Using above formula A = 122.71846303085 cm^2 &
Finally we deduct the smaller Area from the larger Area
A = 9.6211275016187 cm^2 - 9.6211275016187 cm^2
122.71846303085 cm^2 - 9.6211275016187 cm^2 =
113.0973355292 cm^2 thus 13.04 is your answer since I used the
π = 3.1415926535898
A = area
π = pi = 3.1415926535898
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