Answer:
2x + x + 63 = 180 to find x.
m<1 = 78 degrees
m<2 = 102 degrees
Step-by-step explanation:
Combine like terms: 3x + 63 = 180
Subtraction: 3x = 117
Division: 3x/3 = 117/3
Final Answer: x = 39
m<1 = 2(39) = 78 degrees
m<2 = (39 + 63) = 102 degrees
Check work: 102 + 78 = 180
(180 is the measure of a straight line such as the one represented here)
Answer:

Step-by-step explanation:
The cylindrical basin has a height of 2 ft and a diameter of 5 ft.
To find the amount of water that will completely fill up the basin, we simply need to find the volume of the basin.
The volume of a cylinder is given as:

where r = radius of the basin (half the diameter) = 2.5 ft
h = height of the basin
Hence, the volume is:
≅ 
The cylindrical basin can hold up to
of water.
Answer:
Step-by-step explanation:
So, when we dilate a triangle, it affects side measures.
So let's find it!


So, the sides of our new triangle is 4 and 12.
Let's find the area!

So, it is the first option! Hope this helps!
P.S. Stay Safe
Answer:
The domain is the interval (-∞,∞)
The range is the interval [-4,∞)
Step-by-step explanation:
we have

This is the equation of a vertical parabola in vertex form
The vertex is the point (-4,-4)
The parabola open upward (because the leading coefficient is positive)
The vertex represent a minimum
The domain is the interval (-∞,∞)
so
The domain is all real numbers
The range is the interval [-4,∞)

so
The range is all real numbers greater than or equal to -4