There isn't enough info to prove the triangles to be congruent or not. So we can't say for sure either way.
We have angle CAD = angle ACB given by the arc markings, and we know that AC = AC due to the reflexive theorem. However we are missing one third piece of information.
That third piece of info could be....
- AD = BC which allows us to use SAS
- angle ACD = angle CAB which allows us to use ASA
- angle ABC = angle CDA which allows us to use AAS (slight variation of ASA)
Since we don't know any of those three facts, we simply don't have enough information.
side note: If AB = CD, then this leads to SSA which is not a valid congruence theorem. If we had two congruent sides, the angle must be between the two sides, which is what AD = BC allows.
Answer:
1) 39.5 ft^2
1) 139.15m^2
Step-by-step explanation:
2) area of a rectangle formula : LW
Area of a triangle:(bh)/2
Area of a semi circle:( Pi*r^2)/2
Area of a square: S^2
Area of figure one:
Lw+(b1*h1)/2+(b2*h2)/2
8*4+(2*3)/2+(3*3)/2
32+3+4.5=39.5
Area of fig 2:
S^2+(pi*r^2)/2
10^2+(3.14*5^2)/2
100+78.5/2
100+39.25=139.25
- i =
- Product rule of radicals: √ab = √a x √b
Firstly, factor out i: 
Next, apply the product rule of radicals here as such:
<u>Your answer is 5i√2, or the second option.</u>
Answer:
24m^3
Step-by-step explanation:
Volume is L x W x H which is base times width times height. So you take the Length (3), the width (4) and the height (2) you multiply them together to get 24m. but your not done. you have to add the exponent
The formula for an area of a circle is
A=pi times radius squared
there for you do pi times 9.5 to the power of two/squared (radius is half of the diameter so 19 divided by 2 is 9.5)
pi times 9.5 squared
= 283.5
I rounded to the nearest tenths
