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°
The direct variation that can be established using the given parameters is that, the time it takes between seeing the lightning and hearing the thunder is directly related to the speed.
However, it can also be established that the time described above is inversely proportional to the distance. This can be written as,
t = k/d
We substitute the given expression for each of the known terms. t is time, s, and d is distance, 3s.
s = k/3s
The k written in the equation is the constant of proportionality.
Answer:
(3.8)
Step-by-step explanation:
Given
See attachment for grid
Required
Which point is on Veronica's path
On the attached grid, I plotted each of the coordinate pair (i.e the given options, A to D) on the grid.
By observation. we can see that:
A is on the vertical line (y intercept)
B is on the second quadrant
C is just few points to the left of the given path
D represents Verlonda's house
<em>Hence, the required coordinate pair is: (3.8)</em>
Answer:
Jackson should work at least 8 hours this week to achieve his target.
Step-by-step explanation:
Jackson's hourly income = $25
His weekly spending budget = $130
Minimum amount to be pushed to the savings account = $50
So, minimum total amount Jackson should earn this week = 130 + 50 = 180
Number of hours to work this week = 
= 
= 8 rounded to next integer
Hence, Jackson should work at least 8 hours this week to achieve his target.
Answer:
To the line
Step-by-step explanation: