Answer:
1) <DHG = 94 degrees
2) <3 = 29 degrees
3) <1 = 47 degrees
4) <5 = 78 degrees
5) <4 = 60 degrees
Step-by-step explanation:
1). 2a -3 = 4a -10 (vertical angles)
- 3 + 10 = 4a - 2a
7 = 2a
a = 7/2
<5 = 2(7/2) - 3 = 4 degrees and <3 = 4(7/2) - 10 = 4 degrees
<DHG = 90+4 = 94 degrees
2). 4p+5+2p+1 90 (complementary angles)
6p+6 = 90
6p = 90-6
p = 84/6
p = 14
<1 = 61 degrees and <5 = 29 degrees
<3 = 29 degrees
3). 4w - 13 + 2w + 18 = 90 (complementary angles)
6w + 6 =90
6w = 90-6
W = 14
m<BHC = 4(14) - 3 = 53 and m<DHC = 2(14)+19 = 47
<1 = 47 degrees
4). <1 = <4 (vertical angles)
2d+7=3d-15
7+15 = 3d-2d
d = 22
<1 = 2(22)+7=51 and <4 = 3(22)-15=51
<5 = 180 - 102 = 78 degrees
5). 5r + 20 + 3r = 180
8r = 180 - 20
r = 160/8
r = 20
<AHB = (3)(20) = 60
<AHF = 180-60 = 120
<AHG = 120/2 = 60
<AHG = <4 (vertical angles = 60 degrees
Answer:
H=1/T
K (constant)=HxT
=2x65=130
Step-by-step explanation:
Answer:
think safe and choose wisely
; )
Step-by-step explanation:
if you are going to have or planning to have children, then i would choose
something that has half-day.
but other than that the rest is your to choose.
C, as they are on the same plane, (it is uncommon to find non co-planar lines)
D, as that symbol means parallel
A is untrue as they are on the same plane
B is untrue as that symbol means perpendicular
E is untrue as perpendicular means the two lines intersect and form 90 degree angles
F is untrue as parallel lines never intersect
Answer:
The equation of line is given by

Step-by-step explanation:
We have been given the points (–2, 2) and (0, 5) and we have to find the equation of the line.
Let us first find the slope of the line using the formula

On substituting the values, we get


Now, using the point slope form, the equation of line is given by

Therefore, the equation of line is given by
