Answer: m∠ TUW = 38°
m∠WUV = 12°
m∠TUV = 103°
Step-by-step explanation:
Given: m∠ TUW = (5x + 3)°, m∠WUV=(10x-5)°, and m∠TUV=(17x-16)°
Since, m∠TUV = m∠ TUW + m∠WUV
So, 17X-16 = (5x + 3) + (10x-5)
⇒ 17X-16 = 5x + 3 + 10x-5 [open parenthesis]
⇒ 17X-16 =5x + 10x +3 -5 [combine like trems]
⇒ 17X-16 =15x -2
⇒ 17X -15x = -2+16 [subtract 15x and add 16 on both sides]
⇒ 2x = 14
⇒ x= 7 [divide both sides by 2]
Now, m∠ TUW = (5(7) + 3)°= 38°
m∠WUV=(10(7)-5)° = 12°
m∠TUV=(17(7)-16)° = 103°
Hence, m∠ TUW = 38°
m∠WUV = 12°
m∠TUV = 103°
Answer:
B
Hope you get it right! :)
Step-by-step explanation:
<h2>Part 1)</h2>
Let's analyze each part of the function:
FROM x = 0 TO x = 5:
We can find the equation of this line by using The Slope-Intercept Form of the Equation of a Line, that states:
So the y-intercept here is 
and 
, therefore:
FROM x = 0 TO x = 5:
From the previous line, we know that at 
the output is:
So the point 
lies on both lines.
For this new line, the slope is 
So, with the Point-Slope Form of the Equation of a Line we can find the equation of this other line:
So:
The graph is shown below.
<h2>Part 2)</h2>
The graph of the linear function 
is a line with slope 
and 
at 
. From the items, we can assure that the following equations are linear functions:
In conclusion, the other functions are nonlinear and they are:
Answer:
Step-by-step explanation:
Since the outdoor ice skating arena is in the shape of a circle, we would determine its area by applying the formula for determining the area of a circle which is expressed as
Area = πr²
Where
π is a constant whose value is 3.14
r represents the radius of the circle
From the information given,
Diameter = 42 feet
Radius = diameter/2 = 42/2 = 21 feet
Therefore,
Area = 3.14 × 21² = 1384.74 square feet
Rounding up to the nearest whole number, area of the outdoor ice skating arena would be 1385 square feet
Answer:
1
Step-by-step explanation:
