Answer:
m∠QPR = 20°
Step-by-step explanation:
If we make a sketch of the triangle, it will be observed, that line R bisects angle P.
Considering Triangle, ΔQPS;
∠QPS=107∘
Considering triangle, QPR;
∠QPR=9x-115∘
Considering triangle, RPS;
∠RPS=4x+27∘
Thus, ∠RPS + ∠QPR = ∠QPS
4x+27° + 9x-115° = 107°
13x - 88° = 107∘
13 x = 107∘ + 88∘
13x = 195°
x = 195°/13
x = 15°
m∠QPR = 9x - 115°
= (9 x 15) - 115°
= 135° - 115°
= 20°
Therefore, m∠QPR = 20°
distance= rate ÷ time
time= rate ÷ distance
time= 200 km/hr ÷ 1400 km
time= 1/7 hr or 0.1428... hr
Answer:
16
Step-by-step explanation:
Boys is written first so 3:4 the 3 stands for boy.
12 boys in class means that the 3 from 3:4 was multiplied 4 times so you do the same to other side. 4 times 4 is 16, therefore the answer is 16.
Answer:
8x + 5
Step-by-step explanation:
By adding
2x + 6 + 6x -1
8x + 5
Answer:
x = 8 and y = - 1
Step-by-step explanation:
The equation of a vertical line parallel to the y- axis is
x = c
where c is the value of the x- coordinates the line passes through
The line passes through (8, - 1 ) with x- coordinate 8, then
x = 8 ← equation of vertical line
The equation of a horizontal line parallel to the x- axis is
y = c
where c is the value of the y- coordinates the line passes through
The line passes through (8, - 1 ) with y- coordinate - 1, then
y = - 1 ← equation of horizontal line