Step-by-step explanation:
Supplementary angle adds up yo 180°
So angle 2 is supplementary to angle 3
Answer: C
Step-by-step explanation:
Less than or more than without "or equal" means that the dot is not shaded, otherwise it is.
So the answer is C
Answer:
He saw <u>1 duck</u> and <u>3 dogs</u>.
Step-by-step explanation:
Given:
Evan went to the park and saw four animals.
Each animal was either a duck or a dog.
He saw a total of 14 legs.
Now, to find the number of each animal he had seen.
Let the number of duck be ![x.](https://tex.z-dn.net/?f=x.)
And the number of dog be ![y.](https://tex.z-dn.net/?f=y.)
So, total number of animals:
![x+y=4\\y=4-x](https://tex.z-dn.net/?f=x%2By%3D4%5C%5Cy%3D4-x)
Now, the total number of legs he did see:
<em>As we know the legs of a duck are 2 and a dog are 4.</em>
Adding both sides by -16 we get:
![-2x=-2](https://tex.z-dn.net/?f=-2x%3D-2)
Dividing both sides by -2 we get:
![x=1](https://tex.z-dn.net/?f=x%3D1)
The number of duck = 1.
Now, putting the value of
in above equation we get:
![y=4-x](https://tex.z-dn.net/?f=y%3D4-x)
![y=4-1\\y=3.](https://tex.z-dn.net/?f=y%3D4-1%5C%5Cy%3D3.)
The number of dogs = 3.
Therefore, he saw 1 duck and 3 dogs.
Applying log rules leaves us with the following equation:
x^2 + 8 = 6x
Change to standard form and solve using factoring.
x^2 - 6x + 8 = 0
(x - 4)(x - 2) = 0
x = 4
x = 2
Hope this helps!
Answer:
See below
Step-by-step explanation:
<u>If you just want the tip</u>
<u />![0.20*161.86\approx\frac{1}{5}*160=32](https://tex.z-dn.net/?f=0.20%2A161.86%5Capprox%5Cfrac%7B1%7D%7B5%7D%2A160%3D32)
<u>If you want the total bill</u>
<u />![1.20*161.86\approx160+32=192](https://tex.z-dn.net/?f=1.20%2A161.86%5Capprox160%2B32%3D192)