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almond37 [142]
3 years ago
13

What is the contrapositive of the statement “If a line part is a ray, then it has a terminal point”?

Mathematics
1 answer:
Delvig [45]3 years ago
6 0
To find the contrapositive of an implication, reverse the hypothesis and the conclusion and negate both.

So now the implication becomes, If it has not a terminal point, then a line part is not a ray.
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There is 12/15 of a pizza left.How many 3/10 pieces can be made from the leftover pizza?
Katena32 [7]
So 12/15 simplifies to 4/5, and if you multiply both sides by two you have 8/10 so i guess 2 ( and some extra ) 
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A person can pay $33 for a membership to the history museum and then go to the museum
Lemur [1.5K]

Answer:

42$

Step-by-step explanation:

The person pays 33$ for a membership,and then visits the museum 9 times.So 33+(9*1)=42

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Two adjacent angles of a rhombus as in the ratio 2:3. Eind all the a angles of the rombus​
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Let the adjacent angles of the rhombus be 2x and 3x. We know that the sum of the measures of the adjacent angles is equal to 180°. AD = DC = 3 × 36° = 108°. Hence , the angles of the rhombus are 72° , 108° , 72° and 108°.

Step-by-step explanation:

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Find all solutions to
BARSIC [14]

Answer:

x= 0 , \frac{1}{14} , \frac{-1}{12}

Step-by-step explanation:

Given, equation is \sqrt[3]{15x-1} + \sqrt[3]{13x+1} = 4\sqrt[3]{x}. →→→ (1)

Now, by cubing the equation on both sides, we get

( \sqrt[3]{15x-1} + \sqrt[3]{13x+1} )³ = (4\sqrt[3]{x})³

⇒ (15x-1) + (13x+1) + 3×\sqrt[3]{15x-1}×\sqrt[3]{13x+1} (\sqrt[3]{15x-1} + \sqrt[3]{13x+1}) = 64 x.

⇒ 28x + 3×\sqrt[3]{15x-1}×\sqrt[3]{13x+1} (4\sqrt[3]{x}) = 64x.        

(since from (1),  \sqrt[3]{15x-1} + \sqrt[3]{13x+1} = 4\sqrt[3]{x})

⇒ 12× \sqrt[3]{15x-1}×\sqrt[3]{13x+1} (\sqrt[3]{x})= 36x.

⇒ 3x = \sqrt[3]{(15x-1)(13+1)(x)}.

Now, once again cubing on both sides, we get

(3x)³ = (\sqrt[3]{(15x-1)(13+1)(x)})³.

⇒ 27x³ = (15x-1)(13x+1)(x).

⇒ 27x³ = 195x³ + 2x² - x

⇒ 168x³ + 2x² - x = 0

⇒ x(168x² + 2x -1) = 0

⇒ by, solving the equation we get ,

x = 0 ; x = \frac{1}{14} ; x = \frac{-1}{12}

therefore, solution is x= 0 , \frac{1}{14} , \frac{-1}{12}

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Dominik [7]
You are driving 72 miles per hour
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