Answer:
F. ![x=\frac{5}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B5%7D%7B2%7D)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Standard Form: ax² + bx + c = 0
- Quadratic Formula:
![x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D)
Step-by-step explanation:
<u>Step 1: Define</u>
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<u />
<u />
<u>Step 2: Identify Variables</u>
<u />
<u />
<u />
<u>Step 3: Find roots</u>
- Substitute [QF]:
![x=\frac{5\pm\sqrt{(-5)^2-4(1)(\frac{25}{4} )} }{2(1)}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B5%5Cpm%5Csqrt%7B%28-5%29%5E2-4%281%29%28%5Cfrac%7B25%7D%7B4%7D%20%29%7D%20%7D%7B2%281%29%7D)
- Exponent:
![x=\frac{5\pm\sqrt{25-4(1)(\frac{25}{4} )} }{2(1)}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B5%5Cpm%5Csqrt%7B25-4%281%29%28%5Cfrac%7B25%7D%7B4%7D%20%29%7D%20%7D%7B2%281%29%7D)
- Multiply:
![x=\frac{5\pm\sqrt{25-25} }{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B5%5Cpm%5Csqrt%7B25-25%7D%20%7D%7B2%7D)
- Subtract:
![x=\frac{5\pm\sqrt{0} }{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B5%5Cpm%5Csqrt%7B0%7D%20%7D%7B2%7D)
- Evaluate:
![x=\frac{5}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B5%7D%7B2%7D)
Answer:
Amount each friend pays for the gift = $20
Step-by-step explanation:
Market price of a gift = $70
The store manager takes $10 off the market price.
Marked down amount = $10
New cost price = Marked price - Marked down amount ![=\$70-\$10=\$60](https://tex.z-dn.net/?f=%3D%5C%2470-%5C%2410%3D%5C%2460)
The cost of the gift is divided among three friends.
This means that the cost of gift which is $60 is divided by three to get each one's contribution in the gift.
∴ Amount each friend pays for the gift ![=\frac{60}{3}=\$20](https://tex.z-dn.net/?f=%3D%5Cfrac%7B60%7D%7B3%7D%3D%5C%2420)
15.7÷3.2=4.90625
rounded off to 5(i think)
Answer:
-10
Step-by-step explanation:
Answer:
Option C is correct.
288 degree measure could he have rotated the pentagon so that is mapped onto itself
Step-by-step explanation:
Given: Patrik rotated the pentagon about its center.
A Rotational symmetry of a regular polygon is based on the number of vertices it has.
If the Pentagon figure is rotated
about its center, each vertex lands exactly on the top of where it started.
Since you have 5 vertices, so your starting vertex can land in 5 different starting places and still come up with the same figure.
So if you take
rotations to each consecutive vertex.
⇒a rotation of 72 degree, 144 degree, 216 degree, 288 degree and 360 degree will result in the same figure.
Therefore, 288 degree measure could he have rotated the pentagon so that is mapped onto itself.