Answer:
m<1 = 69°
Step-by-step explanation:
Angles 20x + 11 and 25x - 14 are vertical angles, so they are congruent.
25x - 14 = 20x + 11
5x = 25
x = 5
The actual measure of angle 20x + 11 is 20(5) + 11 = 111°.
Angle 20x + 11 and <1 are supplementary, so the sum of their measures is 180°.
m<1 + 111° = 180°
m<1 = 180° - 111°
m<1 = 69°
Answer:
1/30 in fraction form.
0.033333333....
Step-by-step explanation:
Answer:
x = 5, y = 3
Step-by-step explanation:
<u>Elimination method: (I will be eliminating 4y) </u>
3x + 4y = 27 --- Equation 1
x + 4y = 17 --- Equation 2
Equation 1-2: 3x + 4y - x - 4y = 27 - 17
2x = 10
x = 10 ÷ 2
x = 5
Substitute x = 5 into Equation 2:
x + 4y = 17
4y + 5 = 17
4y = 17 - 5
= 12
y = 12 ÷ 4
y = 3
Y = a (x + 3)² - 1
Let's take the point (-1;3)
3 = a ( -1 + 3)² - 1
3 = 4a - 1
4a = 4
Therefore a = 4/4 = 1
(x+3)² - 1
= x² + 6x + 9 - 1
= x² + 6x + 8
The answer would be y = x² + 6x + 8.
Hope this helps !
Photon