<u><em>Answer:</em></u>
SAS
<u><em>Explanation:</em></u>
<u>Before solving the problem, let's define each of the given theorems:</u>
<u>1- SSS (side-side-side):</u> This theorem is valid when the three sides of the first triangle are congruent to the corresponding three sides in the second triangle
<u>2- SAS (side-angle-side):</u> This theorem is valid when two sides and the included angle between them in the first triangle are congruent to the corresponding two sides and the included angle between them in the second triangle
<u>3- ASA (angle-side-angle):</u> This theorem is valid when two angles and the included side between them in the first triangle are congruent to the corresponding two angles and the included side between them in the second triangle
<u>4- AAS (angle-angle-side):</u> This theorem is valid when two angles and a side that is not included between them in the first triangle are congruent to the corresponding two angles and a side that is not included between them in the second triangle
<u>Now, let's check the given triangles:</u>
We can note that the two sides and the included angle between them in the first triangle are congruent to the corresponding two sides and the included angle between them in the second triangle
This means that the two triangles are congruent by <u>SAS</u> theorem
Hope this helps :)
Answer:
Step-by-step explanation:
Given that:-
The speed of the orion= 20,000 miles per hour
Time = 1 hour ( From source )
Thus,
Distance = Speed * Time = 20,000*1 miles = 20,000 miles
Thus, in 1 hour, the orion can travel 20,000 miles
Also,
93,000,000 miles = 1 astronomical unit
1 mile = 1/93,000,000 astronomical unit
20,000 miles = (1/93,000,000)*20,000 astronomical unit
<u>The orion can travel 
AU in one hour.</u>
Answer:
y = 14
Step-by-step explanation:
The sum of the angles in a triangle add to 180 degrees
50 + 2x+ 5y + 10 = 180
We know that 2x = 50 since they are the base angles of sides that have the same length, they must be the same
50 + 50 + 5y+10 =180
Combine like terms
110 + 5y =180
Subtract 110 from each side
110+5y-110 = 180-110
5y = 70
Divide each side by 5
5y/5 =70/5
y = 14
The volume of a sphere:
r - the radius
The diameter is twice the radius.
![d=36 \ in \\ r=\frac{36}{2} \ in = 18 \ in \\ \\ V=\frac{4}{3} \pi \times 18^3=\frac{4}{3}\pi \times 5832=\frac{23328}{3} \pi=7776\pi \ [in^3]](https://tex.z-dn.net/?f=d%3D36%20%5C%20in%20%5C%5C%0Ar%3D%5Cfrac%7B36%7D%7B2%7D%20%5C%20in%20%3D%2018%20%5C%20in%20%5C%5C%20%5C%5C%0AV%3D%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20%5Ctimes%2018%5E3%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%5Ctimes%205832%3D%5Cfrac%7B23328%7D%7B3%7D%20%5Cpi%3D7776%5Cpi%20%5C%20%5Bin%5E3%5D)
The exact volume of the sphere is 7776π in³.
You can check your factoring by multiplying them all out to see if you get the original expression. If you do, your factoring is correct; otherwise, you might want to try again
