Answer:
x = 10°
y = 25°
Step-by-step explanation:
3x = 5x - 20 because they are alternate interior angles
subtract 5x from each side of the equation:
-2x = -20
Divide both sides by -2:
x = 10°
The sum of the interior angles of any triangle = 180°
2y + 4Y + (5x - 20) = 180°
combine like terms:
6y + 5x - 20 = 180°
add 20 to each side:
6y + 5x = 200°
substitute for x:
6y + 5(10) = 200°
subtract 50 from each side:
6y = 150°
divide both sides by 6:
y = 25°
Answer:
the answer is c, (-10,4) and the radius is 10
Step-by-step explanation:
Hope this helps!❆
Answer:
-12
Step-by-step explanation:
Use synthetic division to find the remainder:
a + 2 yields the synthetic division divisor -2. The four coefficients of a^3 - 4 are {1, 0, 0, -4}. Setting up synthetic division results in:
-2 / 1 0 0 -4
-2 4 -8
-------------------------
1 -2 4 -12
The remainder is -12. This is also the value of a^3 - 4 when a = -2.
Answer:
<u>Given is the piecewise function</u>
<h3>The first interval</h3>
<u>Domain:</u>
<u>The function</u>
<h3>The second interval</h3>
<u>Domain</u>
<u>The function</u>
- The slope is m = (0 - (-4))/(0 - (-2)) = 4/2 = 2
- The y-intercept is 0
- y = 2x
<h3>The third interval</h3>
<u>Domain</u>
<u>The function</u>
- The slope is m = (0 - 2)/(4 - 0) = - 1/2
- The y-intercept is 2
- y = -1/2x + 2
X-intercept:(-2,0)
Y-intercept:(0, -4/9)
