Answer:
Step-by-step explanation:
4) parallel because 118° is a supplement to 62° and the corresponding angles are both 118°
5) NOT parallel. The labeled angles sum to 120° and would sum to 180° for parallel lines.
6) NOT parallel. see pic.
If parallel, extending a line to intersect ℓ₁ makes an opposite internal angle which would also be 48°. The created triangle would have its third angle at 180 - 90 - 48 = 42° which is opposite a labeled 48° angle, which is false, so the lines cannot be parallel
7)
b = 78° as it corresponds with a labeled angle above it
a = 180 - 78 = 102° as angles along a line from a common vertex sum to 180
f = is an opposite angle to 180 - 78 - 44 = 58° as angles along a line from a common vertex sum to 180
e = 180 - 90 - 64 = 26° as angles along a line from a common vertex sum to 180
c = 58° as it corresponds with f
d = 180 - 58 = 122° as angles along a line from a common vertex sum to 180
Answer:
the home is
5.83 blocks 31° North of west of the school
Step-by-step explanation:
Resolving the displacement to vertical and horizontal axis
Let north and south represent positive and negative vertical axis, also east and west represent positive and negative horizontal axis;
Vertical axis; , 2 blocks south to visit her aunt, then 5 blocks north to go home
Ry = -2 + 5
Ry = +3
Horizontal axis; 5 blocks west to the grocery store
Rx = -5
Resultant distance = R = √(Rx^2 + Ry^2)
R =√(-5^2 + 3^2)
R = √34
R = 5.83 blocks
For the direction;
∅ = arctan(Ry/Rx) = arctan(3/5)
∅ = 31°
Therefore, the home is
5.83 blocks 31° North of west of the school.
Answer:
65
Step-by-step explanation:
-10^2+6(-5) divided by -2.
Answer:
27602.02
Step-by-step explanation:
Principal = £25,000
Rate of interest = 2% per year.
Number of years = 5 years
Formula,
=> £25000 * (1 + )^5
=> £25000 * 1.02^5
=> £25000 * 1.1040808
=> £27602.02
Therefore, the amount = £27602.02
Rounded to the nearest penny is £27602.02
Hope it helps :)
Answer:
1/72
Step-by-step explanation:
1/8 of 1/9
=1/8x1/9
=1/72