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3 years ago

Use the premises and conclusion to answer the questions.

Mathematics

2 answers:

QveST [7]3 years ago

8 0

Answer: The argument is valid by the law of syllogism.

Step-by-step explanation:

Law of syllogism in geometric arguments is similar to transitive property which tells that that if x=y and y=z then x=z.

Given premises: If the sides of a triangle are the same length, then the triangle is an equilateral triangle.

If a triangle is an equilateral triangle, then the measure of each angle is 60°.

Therefore by law of syllogism we can conclude that "If the sides of a triangle are the same length, then the measure of each angle is 60°."

yKpoI14uk [10]3 years ago

7 0

This one is choice C again.

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Type the correct answer for each box write your answer in decimal form rounded to the nearest tenth if necessary type the soluti

stira [4]

The solution is $x=-1$ and $x=-0.5$

Step-by-step explanation:

The expression is $2x(x+1.5)=-1$

Multiplying the term $x+1.5$ by $2x$ , we get,

$2x^{2} +3x=-1$

Adding both sides by 1,

$2x^{2} +3x+1=0$

Taking factor, we get,

$\begin{array}{r}{x^{2}+2 x+x+1=0} \\{2 x(x+1)+1(x+1)=0} \\{(2 x+1)(x+1)=0}\end{array}$

Equating the factors to 0,

$\begin{aligned}2 x+1 &=0 \\2 x &=-1 \\x &=-\frac{1}{2}\\x&=-0.5\end{aligned}$ and $\begin{aligned}x+1 &=0 \\x &=-1\end{aligned}$

Thus, the smaller value is $x=-1$

The solution is $x=-1$ and $x=-0.5$

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3 years ago

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damaskus [11]

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1 year ago

Whats the volume of a cone? Lengths: 9cm, 5cm

abruzzese [7]

Answer:

B) 75π cm³

Step-by-step explanation:

The volume of a cone is given by the formula ...

V = (1/3)πr²h

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V = (1/3)π(5 cm)²(9 cm) = 75π cm³

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