Answer:
see the attachment
Step-by-step explanation:
• When two secants intersect a circle the measure of the angle between them is half the difference of the intercepted arcs. Tangent DH is a degenerate case of a secant in which both points of intersection are the same point (D). Thus ∠GHD is half the difference of arc GD and ED.
• We assume points B and C are on radii DA and EA, respectively. Hence arc DE has the same measure as ∠BAC, and ∠DGE has half that measure.
• Tangent DH will intersect radius DA at right angles. Hence ∠ADH = 90°.
• ∠DHE = ∠DHG, whose measure is given by the formula in the first answer choice. The formula in the 4th choice is different (and wrong).
• ∠DGE and ∠BFC both intercept arcs with the same measure. Neither is greater than the other: they are equal in measure.
• Inscribed triangle DGE cannot be a right triangle because none of its sides is a diameter of the circumcircle.
P = 11
Add 20 to both sides to get 5p = 55.
Then divide by 5 to get 'p' by itself.
55 / 5 = 11.
In order to determine the expression that should be multiplied to n^2 to get 5n^3, divide 5n^3 by n^2. First for the numerical coefficient, 5 divide 1 is 5. For the variable n, n^3/n^2 is n. Thus, the term that should be multiplied to n^2 is 5n.
Answer:
7x-4
steps:
distribute 2 through the parentheses
2x-4+5x
collect like terms
7x-4
9514 1404 393
Answer:
6000 mL
Step-by-step explanation:
The prefix "milli-" is an SI standard prefix meaning 1/1000. So, 1 mL = (1/1000)L.
When doing dimension changes, you always want to use scale factors that have a value of 1, which is to say the numerator is equal to the denominator. For converting liters to milliliters, the scale factor you want will have mL in the numerator and L in the denominator:
(1 mL)/(1/1000 L) or (1000 mL)/(1 L)
To do your conversion, multiply your liter volume by this factor.
![(6\text{ L})\times\dfrac{1000\text{ mL}}{1\text{ L}}=\dfrac{6\times1000\text{ mL$\cdot$L}}{1\text{ L}}=6000\text{ mL}](https://tex.z-dn.net/?f=%286%5Ctext%7B%20L%7D%29%5Ctimes%5Cdfrac%7B1000%5Ctext%7B%20mL%7D%7D%7B1%5Ctext%7B%20L%7D%7D%3D%5Cdfrac%7B6%5Ctimes1000%5Ctext%7B%20mL%24%5Ccdot%24L%7D%7D%7B1%5Ctext%7B%20L%7D%7D%3D6000%5Ctext%7B%20mL%7D)
6 liters is 6000 milliliters.
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You will notice that the dimensions "L" cancel, which is the point of the exercise.
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<em>Additional comment</em>
6 L is closer to 202.884 fluid ounces. The conversion factor is ...
![\dfrac{128\text{ fl oz}}{231\text{ in}^3}\times\dfrac{1\text{ in}^3}{(0.254\text{ dm})^3}\times\dfrac{1\text{ dm}^3}{1\text{ L}}=\dfrac{128\text{ fl oz}}{3.785411784\text{ L}}\quad\text{exactly}](https://tex.z-dn.net/?f=%5Cdfrac%7B128%5Ctext%7B%20fl%20oz%7D%7D%7B231%5Ctext%7B%20in%7D%5E3%7D%5Ctimes%5Cdfrac%7B1%5Ctext%7B%20in%7D%5E3%7D%7B%280.254%5Ctext%7B%20dm%7D%29%5E3%7D%5Ctimes%5Cdfrac%7B1%5Ctext%7B%20dm%7D%5E3%7D%7B1%5Ctext%7B%20L%7D%7D%3D%5Cdfrac%7B128%5Ctext%7B%20fl%20oz%7D%7D%7B3.785411784%5Ctext%7B%20L%7D%7D%5Cquad%5Ctext%7Bexactly%7D)