4- 20
I created an equation for this one:
4x+x=100
- 4x= four times the amount of the other number
- x= the number
- combine like terms
5x=100
x=20
5. One pretzel costs $3
Create an equation:
Mulitply 2s+p=7 by -2 so you can use elimination.
Combine equations
p=3
Answer:
The scale factor is 
<u>We can say that both circles are similar.</u>
Step-by-step explanation:
If we move the little circle to the center of the bigger circle, so the <u>translate vector will be (3,5).</u>
Now we realize that the bigger circle is just a dilation of the smaller circle, the<u> scale factor is:</u>
Therefore, <u>we can say that both circles are similiar.</u>
<u />
I hope it helps you!
ans: 70 ...( it is by ; 180-110) because of straight angle= 180...........
By applying Pythagorean theorem, we have proven that the point (-1/2, -√3/2) lies on the unit circle.
<h3>How to prove this point lies on the unit circle?</h3>
In Trigonometry, an angle with a magnitude of -120° is found in the third quarter and as such, both x and y would be negative. Also, we would calculate the reference angle for θ in third quarter as follows:
Reference angle = 180 - θ
Reference angle = 180 - 120
Reference angle = 60°.
For the coordinates, we have:
sin(-120) = -sin(60) = -1/2.
cos(-120) = -cos(60) = -√3/2.
By applying Pythagorean theorem, we have:
z² = x² + y²
z = √((-1/2)² + (-√3/2)²)
z = √(1/4 + 3/4)
z = √1
z = 1.
Read more on unit circle here: brainly.com/question/9797740
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