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
Just write it out and make the sides equal to 37 like shown here. Have a great day/night!!
Answer:
1100/54 yds
Step-by-step explanation:
First convert inches and feet to yards
[3 ft = 1 yd, 12in = 1yd]
5ft = 1 2/3 yds
6in = 1/6 yds
220ft = 73 1/3 yds
Now use the volume formula,
b*w*h = A
[1 2/3] * [1/6] * [73 1/3]
= [5/3] * [1/6] * [220/3]
= [5/18] * [220/3]
= 1100/54 yds