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elixir [45]
3 years ago
6

Consider the triangles shown. Triangles V U T, U T S, and T S R are connected. Sides V T, U T, T S, and T R are congruent. If mA

ngleUTV mAngleUTS > mAngleSTR by the converse of the hinge theorem.
Mathematics
2 answers:
xxMikexx [17]3 years ago
7 0

Answer:

A :)

Step-by-step explanation:

hjlf3 years ago
7 0

Answer:

A. VU < US < SR by the hinge theorem.

Step-by-step explanation:

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Use the definition of the derviative to compute the derivative of f(x)= 1- 7x^2 at the specific point x=2.
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Answer:

f'(x) = -28 \ at  \ x = 2

Step-by-step explanation:

f'(2) =  \lim_{h \to 0}\frac{f(2+h)) -f(2)}{h} \\\\f(2+h) = 1 - 7(2+h)^2 = 1 - 7(4 +h^2 +4h) = 1 - 28 - 7h^2 - 28h = - 7h^2 -28h - 27\\\\f(2) = 1 - 7(2^2) = 1 - 28 = -27\\\\f(2+h) - f(2) = -7h^2 - 28h - 27 - (-27) = -7h^2 -28h -27 + 27 = -7h^2 -28h\\\\f'(2) =   \lim_{h \to 0}\frac{-7h^2 - 28h}{h} \\\\

       = \lim_{h \to 0} \frac{h(-7h -28)}{h}\\\\= \lim_{h \to 0} (-7h -28)}\\\\= -7 (0) - 28\\\\= -28

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3 years ago
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A target has a bull’s-eye with a diameter of 2 inches. The outer ring is 1 inch wide. What is the area of the outer ring? A circ
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Step-by-step explanation:

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A bicycle has a listed price of 837.95 before tax if the sales tax rate is 7.5% find the total cost of the bicycle with a sales
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Answer:

The total cost of a bicycle after the tax = $900.8

Step-by-step explanation:

Given

  • The cost of a bicycle before tax = 837.95 (let say in $)
  • Sales tax = 7.5% = 0.075

To determine

The total cost of the bicycle with a sales tax include

The tax amount can be calculated by multiplying Sales tax i.e. 0.075 with the cost of bicycle before tax i.e. 837.95.

Thus,

Tax amount = 7.5% × 837.95

                    = 0.075 × 837.95

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Thus, the tax amount is: $62.85

Total cost after the tax can be calculated by adding the Tax amount and the cost before tax.

Therefore,

The total cost of a bicycle after the tax = $62.85 + $837.95

                                                                 = $900.8

Hence, the total cost of a bicycle after the tax = $900.8

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