Answer:
The correct option is A) Q and W are similar but not congruent.
Step-by-step explanation:
Consider the provided graph.
Figure Q is a quadrilateral with sides measuring 5 and 2
Figure S is a quadrilateral with sides measuring 5 and 2.
Figure W is a quadrilateral with sides measuring 10 and 4.
Two figures are similar if the shape of the figures are same but not necessarily same size.
Two figures are congruent if the size and shape of the figure are same.
Note: If two figures are congruent, then they are also similar, but converse is not true.
The dimensions of Q is equals to the corresponding dimensions of the rectangle S. Thus, Q and S are similar and congruent as they have the same shape and the same size.
The dimension of quadrilateral W is 2 times of quadrilateral Q and S. Thus the dimensions of W is proportional to dimensions of Q.
That means quadrilateral W is similar to Q and S but not congruent.
Thus, the correct option is A) Q and W are similar but not congruent.
Answer:
The vehicle covers 126 miles on 7 gallons of fuel.
Step-by-step explanation:
Given:
The distance traveled is directly proportional to the amount of fuel.
For
gallons of fuel distance traveled
miles can be given as:
∝ ![F](https://tex.z-dn.net/?f=F)
![D=kF](https://tex.z-dn.net/?f=D%3DkF)
where
is constant of proportionality.
The vehicle covers
miles on
gallons.
So
![90=k(5)](https://tex.z-dn.net/?f=90%3Dk%285%29)
Dividing both sides by 5.
![\frac{90}{5}=\frac{k(5)}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B90%7D%7B5%7D%3D%5Cfrac%7Bk%285%29%7D%7B5%7D)
![18=k](https://tex.z-dn.net/?f=18%3Dk)
∴ ![k=18](https://tex.z-dn.net/?f=k%3D18)
When
gallons
![D=(18)(7)](https://tex.z-dn.net/?f=D%3D%2818%29%287%29)
miles
∴ The vehicle covers 126 miles on 7 gallons of fuel.
I believe that b.Fractions are rational numbers is not true
sorry if its wrong
Answer: 0.0024
Step-by-step explanation: To get the answer, all we have to do is...
24 ÷ 10 ⁴ = 0.0024
We have to push 24 to the right 4 times...
24 ⇒ 2.4 ⇒ 0.24 ⇒ 0.024 ⇒ 0.0024
I hope this helps!