Answer:
115 degrees
Step-by-step explanation:
The line RQ meets at 115 degrees (Look at the bottom numbers)
It's not 65 degrees because the angle is obtuse.
The distance between two cities is
75
k
m
s
.
Explanation:
As a road of
4
c
m
.
on road map indicates a road of length equal to
30
k
m
.
Each
c
m
.
on map indicates
30
4
=
7.5
k
m
s
.
Hence a distance of
10
c
m
.
between two cities on the map indicates
7.5
×
10
=
75
k
m
s
Answer:
-2x + 7 = x-32
7+32=x+2x
39=3x
x=39/3
x=13
Step-by-step explanation:
Answer:
AC = 2.44
Step-by-step explanation:
Reference angle = 26°
Opposite side = AC = ?
Adjacent side = BC = 5
Applying TOA, we have:
Tan 26 = opp/adj
Tan 26 = AC/5
multiply both sides by 5
Tan 26 × 5 = AC
AC = 2.44 (nearest hundredth)
Q cuts the diagonal PA into 2 equal halves, since the diagonals of rhombus meet at right angles.
<u>Step-by-step explanation:</u>
As given by the statement in the problem,
Q may be the middle point, which cut the diagonal PA into 2 equal halves.
In rhombus, diagonals meet at right angles.
which means that PQ = QA
x+2 = 3x - 14
Grouping the terms, we will get,
3x -x = 14+ 2
2x = 16
dividing by 2 on both sides, we will get,
x = 16/2 = 8
8+2 = 3(8) - 14 = 10 = PQ or QA