Answer:
∠F=78.58484226°
Step-by-step explanation:
a²=b²+c² - 2bc cosA
DE²=EF²+DF² - 2(EF)(DF)cos∠F
18²=16²+12²-2(16)(12)cos∠F
324=256+144-384cos∠F
324-400=-384cos∠F
76=384cos∠F
0.197916=cos∠F
∠F=cos⁻¹(0.197916)
∠F=78.58484226°
Answer:
The answer is: 642
Step-by-step explanation:
Add 6 + 4 + 2 = 12
You only have 2, 4, 6, 8 to work with. 642 rounded to the nearest thousand is 1,000. The order of 642 is from greatest to least and no number repeats.
The value of x is 15.56.
Solution:
Tangent and Secant theorem:
If one secant and one tangent are drawn to a circle from one exterior point, then the square of the length of the tangent is equal to the product of the external secant segment and the total length of the secant.
BE = 22 BD = x, CD = x
BC = x + x = 2x
By the tangent and secant theorem,



Divide by 2 on both sides of the equation, we get

Take square root on both side of the equation.
x = 15.56
Hence the value of x is 15.56.
Answer:

General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
<u>Alg I</u>
- Midpoint Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
Point (3, 5)
Point (-2, 0)
<u>Step 2: Find midpoint</u>
- Substitute:

- Subtract/Add:
