Answer: x=80°
Explanation:
To find the exterior angle x we first need to find the last corner angle (a) of the triangle. The angles of triangles add up to 180° so we can use the formula: 25+55+a=180
Solving formula:
25+55+a=180
80+a=180
(Subtract 80 from both sides)
a=100°
Now that we know a=100 we can find the exterior angle. a+x=180 because the angles are on a straight line which equals 180°
a+x=180
100+x=180
(Subtract 100 from both sides)
x=80°
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Answer:
Tyler should buy 2 goldfishes for his fish tank,
Step-by-step explanation:
First let's find the volume of the sphere, using the following equation:

The radius is half the diameter, so the radius is 14/2 = 7 inches
Now, finding the volume, we have:


Now, we know that we need to have 1 goldfish for every 693 in3 of water, so to find the number of goldfishes, we just need to divide the volume of the sphere by 693 (and round down the result if needed):

Tyler should buy 2 goldfishes for his fish tank,
4x + 1 = x^2 + 3x - 1
4x = x^2 + 3x - 2
0 = x^2 -x - 2
0 = x^2 -x + 1 - 3
0 = (x - 1)^2 - 3
3 = (x - 1)^2
sqrt 3=(x-1) and (-(x-1))
x = 1+sqrt 3 and 1-sqrt 3
sqrt means square root
Answer:

Step-by-step explanation:
we have

where
W is the weight in pounds
x is the number of training cycles completed
For 
substitute the value of x in the function

Answer:
31,000 on apex
Step-by-step explanation: