Answer:
84°
Step-by-step explanation:
1. <u>point of intersection of 2y=x-13 and 3y+x+12=0</u>
x = 2y + 13 ==> 3y + (2y+13) + 12 = 0 ==> 5y + 25 = 0 ==> y = -5
x = 2*(-5) +13 = 3
point of intersection: (3 , -5) L1: pass (3 , -5) and (-4 , -7)
slope of L1 = (-7 - -5)/(-4-3) = -2 / -7 = 2/7
L2 pass (3 , -5) perpendicular to 2x-5y=4
2x-5y=4 ==> y = 2/5 x - 4 slope = 2/5
so slope of L2 = -5/2
angle Θ between two slopes: tan Θ = | (m2-m1) / (1 + m1*m2)|
==> = | (-5/2 - 2/7) / (1 + -5/2*2/7) | = |(-39/14) / (4/14) | = |- 39/4| = 39/4 = 9.75
Θ = 84°
Answer:
m < 4
Step-by-step explanation:
Given
2m + 6 > 7(m - 2) ← distribute
2m + 6 > 7m - 14 ( subtract 2m from both sides )
6 > 5m - 14 ( add 14 to both sides )
20 > 5m ( divide both sides by 5 )
4 > m , thus
m < 4
swer:
Step-by-step explanation:
I know the answer is b
<span>V=I*W*H
360 = 9 * 4 * H
360 = 36H
36H = 360
H = 360/36
H = 10
Answer: 10 cm
</span>
The measurement of all angles is 180, so just subtract the other two angles from 180
180 - 59 - 67 = 54 degrees
