Answer:
60°,60° and 60°.
Step-by-step explanation:
The sum of the interior angle of a triangle
=180°
So, let us test measured sets to get which of them could be the interior angles of a triangle.
The sum of the first measured set
= 90° + 42° + 58°
=190°
Also, the sum of the second measured set
= 60°+ 60° + 60°
=180°
The sum of the third measured set,
= 100°+ 48° + 43°
=191°
Finally, the sum of the fourth measured set
= 31° + 75°+ 70°
=176°
We can clearly conclude that, the measured set 60°,60°and 60° could only be the the set of interior angles of a triangle. Since it is the only set that add up to 180°
x = 6
Explanation:
use the pythagorean theorem which is <u>a^2 + b^2 = c^2</u>. 8 goes in either the a or b position and 10 is the longest side so it will go in the c position.
Answer: Bea's uncle is 25 years old.
Step-by-step explanation:
Given the equation 
, we can say that the<u> </u>variable "x" represents the age of Bea's uncle. Then to find his age, we need to solve for "x":
We must add 15 to both sides of the equation:
Now we need to divide both sides of the equation by 3:
Therefore, we can conclude that Bea's uncle is 25 years old.
First we need to find the area of the triangle and the formula for that is A=1/2bh
Next we plug in what we have and we get the formula A=1/2(4x7)
When we do that math we get 14
Now we need to find the volume of the whole prism and the formula for this is V=Bh (big b means area of base)
When we plug in what we know we get V=14x13
Which gives us our final answer of V=182
