Answer:
x = 22
Step-by-step explanation:
The figure is attached below.
Its given that SV is parallel to RU. We have to find the value of x.
Observe that, if we join point V to U, we will obtain a parallelogram RSVU. One of the properties of a parallelogram is that the sum of its two adjacent angles is always 180 degrees.
So, the two adjacent angles would be: ∠S and ∠R
From the figure:
∠S = 5x + 4
∠R = 44 + x
Since,
∠S + ∠R must be 180 degrees, we can write:
∠S + ∠R = 180
5x + 4 + 44 + x = 180
6x + 48 = 180
6x = 132
x = 22
Therefore, the value of x is 22.
Given that <span>For
a certain model of car the distance
required to stop the vehicle if
it is traveling at
mi/h is given by the formula
![d=v+\frac{v^2}{20}, where [tex]d](https://tex.z-dn.net/?f=d%3Dv%2B%5Cfrac%7Bv%5E2%7D%7B20%7D%2C%20where%20%5Btex%5Dd%20)
is measured in feet.
If Kerry wants her stopping distance not to exceed 75
ft, then the range of speeds (in mi/h) can she travel is obtained as follows:
Therefore, the range of speed she can travel is
</span>
Answer:
x=2.5 or x=-4
Step-by-step explanation:
factorisation= factors:1, 2, 4, 5, 10, 20 (only the positive factors)
We will use the factors 4 and 5.
=(2x-5)(x+4)=0
2x-5=0 || x+4=0
2x=+5 || x=-4
x=2.5 or x=-4
In 5 years one California Palm tree grew = 85 inches.
Then in 1 year the California palm tree grew = (85/5) inches
= 17 inches
Again
A queen palm tree in 8 years grew = 96 inches
In 1 year the queen palm tree grew = (96/8) inches
= 12 inches.
So the California palm tree is growing at a faster rate than the queen palm tree. This is the easiest way of solving this kind of problems. Hope that i have explained the problem enough for you to understand and attempt such problems in the future without anyone's help.
<span />
Answer:
66 units
Step-by-step explanation:
