Answer:
c=29°
Step-by-step explanation:
angle b=97°{ vertically opposite angle}
now,
97°+54°+c=180°{ sum of angle of triangle}
<h2>stay safe healthy and happy.</h2>
Answer:
FG = 44
EG = 80
Step-by-step explanation:
For FG:
1) 5z - 16 = 3z + 8
2) 5z = 3z + 24
3) 2z = 24
4) z = 12
5) 3(12) + 8 = 44
For EG:
1) 2w + 22 = 4w + 4
2) 2w = 4w - 18
3) -2w = -18
4) w = 9
5) 4(9) + 4 + 2w + 22 = 80
<h3>Answer: x < -2, choice B</h3>
===========================================
Work Shown:
10x + 18 < -2
10x + 18-18 < -2-18 ... subtract 18 from both sides
10x < -20
10x/10 < -20/10 ... divide both sides by 10
x < -2
Answer: y = 4x/3 - 5/2
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
c represents the y intercept
m = slope = (y2 - y1)/(x2 - x1)
The given line, L1 passes through A(6, - 7) and B(- 6, 2). The slope of line L1 is
m = (2 - - 7)/(- 6 - 6) = 9/ -12 = - 3/4
If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line.
Therefore, the slope of line L2 passing through the midpoint, M is 4/3
The formula determining the midpoint of a line is expressed as
[(x1 + x2)/2 , (y1 + y2)/2]
Midpoint, M = [(6 + -6)/2 , (- 7 + 2)/2]
= (0, - 5/2]
This means that the y intercept of line L2 is - 5/2
The equation of L2 becomes
y = 4x/3 - 5/2
Answer:
140
Step-by-step explanation:
Substitute q = 5 and u = 7 into the expression
4qu
= 4 × 5 × 7 = 20 × 7 = 140
