<u>Answer:</u>
Perimeter = 20 units
x = 120°
<u>Step-by-step explanation:</u>
We are given a triangle ABC with known side lengths for all three sides and an inscribed circle.
We are to find the perimeter of triangle ABC and the value of x.
Perimeter of triangle ABC = 2 + 2 + 5 + 5 + 3 + 3 = 20 units
The kite shape at the end is a quadrilateral which has a sum of angles of 360 degrees.
Two out of four angles are right angles and one is 60 so we can find the value of x.
x = 360 - (90 + 90 + 60) = 120°
Answer:
Milford location has a higher ratio of hamsters to gerbils.
Step-by-step explanation:
Given:
A pet supply chain called Pet City has 5 hamsters and 10 gerbils for sale at its Lanberry location.
At its Milford location, there are 13 hamsters and 16 gerbils.
Now, to find the location who has a higher ratio of hamsters to gerbils.
Ratio of hamsters to gerbils at Lanberry location = 5:10.
Ratio of hamsters to gerbils at Milford location= 13:16.
<em>So, 0.8125 > 0.50.</em>
<em>Thus, </em><u><em>13:16 > 5:10.</em></u><em> </em>
Therefore, Milford location has a higher ratio of hamsters to gerbils.
Answer:
G
Step-by-step explanation:
you have a 1 out of 6 chance of getting 11
<h3>
Answer:</h3>
The real solutions are -5, -4, 4, 5. There are no complex solutions.
<h3>
Step-by-step explanation:</h3>
The equation ...
... x^4 -41x^2 +400 = 0
can be factored as ...
... (x^2 -16)(x^2 -25) = 0
... (x -4)(x +4)(x -5)(x +5) = 0
So, all roots are real and are ...
... x ∈ {-5, -4, 4, 5}
_____
These are the values of x that make the factors zero.
Answer:
8/27
Step-by-step explanation:
