The intersection of the two sets is the list of members that appear in both sets. That is {3}.
Your statement is FALSE.
I believe the correct answers are:
<span>UV = 14 ft and m∠TUV = 45°</span>
<span>ST = 20 ft, UV = 14 ft, and m∠UST = 98°
Or, in other words, Options A and D.
</span>
Answer:
∠ BOC = 40°
Step-by-step explanation:
∠ AOC = 90° , then
5x + 2x + 20 = 90
7x + 20 = 90 ( subtract 20 from both sides )
7x = 70 ( divide both sides by 7 )
x = 10
Then
∠ BOC = 2x + 20 = 2(10) + 20 = 20 + 20 = 40°
Given:
The graphed point is (60,-20).
To find:
The ordered pair that would form a proportional relationship with the given point.
Solution:
If y is proportional to x, then
![y\propto x](https://tex.z-dn.net/?f=y%5Cpropto%20x)
![y=kx](https://tex.z-dn.net/?f=y%3Dkx)
![\dfrac{y}{x}=k](https://tex.z-dn.net/?f=%5Cdfrac%7By%7D%7Bx%7D%3Dk)
Where, k is the constant of proportionality.
For the given point,
![k=\dfrac{-20}{60}](https://tex.z-dn.net/?f=k%3D%5Cdfrac%7B-20%7D%7B60%7D)
![k=\dfrac{-1}{3}](https://tex.z-dn.net/?f=k%3D%5Cdfrac%7B-1%7D%7B3%7D)
For option (A),
![k=\dfrac{30}{-10}](https://tex.z-dn.net/?f=k%3D%5Cdfrac%7B30%7D%7B-10%7D)
![k=-3\neq \dfrac{-1}{3}](https://tex.z-dn.net/?f=k%3D-3%5Cneq%20%5Cdfrac%7B-1%7D%7B3%7D)
For option (B),
![k=\dfrac{-15}{30}](https://tex.z-dn.net/?f=k%3D%5Cdfrac%7B-15%7D%7B30%7D)
![k=-\dfrac{1}{2}\neq \dfrac{-1}{3}](https://tex.z-dn.net/?f=k%3D-%5Cdfrac%7B1%7D%7B2%7D%5Cneq%20%5Cdfrac%7B-1%7D%7B3%7D)
For option (C),
![k=\dfrac{10}{-30}](https://tex.z-dn.net/?f=k%3D%5Cdfrac%7B10%7D%7B-30%7D)
.
The point (-30,10) gives the same value of the constant of proportionality. So, the point (-30,10) forms a proportional relationship with the given point.
Therefore, the correct option is C.
Answer:
1/10 of an hour.
Step-by-step explanation:
Lola rode her bike for 7/10 of an hour on Saturday.
She rode for 3/5 of an hour on Sunday.
On Saturday she rode
-
= 1/10 of an hour more.