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3 years ago

A _ is accepted to be true without proof, while a _ is an assertion that can be proven using the rules of logic.

Mathematics

1 answer:

deff fn [24]3 years ago

5 0

Answer:

A <u>postulate</u> is accepted to be true without proof, while a <u>theorem </u>is an assertion that can be proven using the rules of logic.

Explanation:

In mathematics, a postulate is a statement that is considered to be true without looking for any proof of that statement. Other hypotheses or statements can be tested using a postulate as a standard. A postulate is not only significant in mathematics but also plays an important role in understanding the concept of physics.

A theorem can be described as a statement that can be proved right by using logical pieces of evidence.

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marishachu [46]

Answer:

Step-by-step explanation:

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3 years ago

AB ≅CD, FA ≅ED

Rama09 [41]

This answer is the SAS therom because you have 2 congruent sides and then you have the perpendicular bisector, which is a right angle

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3 years ago

Check all that are equivalent A=1/2h(b1+b2), 2A=hb1+b2, b1=2A/h-b2, b1=2(A-1/2hb2)/h

VMariaS [17]

Answer:

(A) $A=\dfrac12h(b_1+b_2)$

(D) $b_1=\dfrac{2(A-\dfrac12 hb_2)}{h}$

Step-by-step explanation:

Given that:

$A=\dfrac12h(b_1+b_2)$

$2A=h(b_1+b_2)\\2A=hb_1+hb_2\\hb_1=2A-hb_2\\b_1=\dfrac{2A-hb_2}{h} \\b_1=\dfrac{2(A-\dfrac12 hb_2)}{h}$

Therefore, A and D are equivalent

7 0

3 years ago

Find the equation of the line with the given properties. Passes through (4, -5) with a slope of -1\2

Setler [38]

$y=-\frac{1}{2}x-3$

Explanation

when you know the slope and a passing point of the line, you can find the equation of the line by replacing in the slope-point equation ,it is given by:

$\begin{gathered} y-y_1=m(x-x_1) \\ \text{where } \\ m\text{ is the slope} \\ \text{and} \\ (x_1,y_1)\text{ is a point from the line } \end{gathered}$

then

Step 1

a)Let

$\begin{gathered} \text{slope}=-\frac{1}{2} \\ \text{ Point=(4,-5)} \end{gathered}$

now,replace and solve for y

$\begin{gathered} y-y_1=m(x-x_1) \\ y-(-5)=-\frac{1}{2}(x-4) \\ y+5=-\frac{1}{2}x+\frac{4}{2} \\ y+5=-\frac{1}{2}x+2 \\ \text{subtract 5 in both sides} \\ y+5-5=-\frac{1}{2}x+2-5 \\ y=-\frac{1}{2}x-3 \end{gathered}$

therefore, the answer is

$y=-\frac{1}{2}x-3$

I hope this helps you

5 0

1 year ago

The probability of a team winning a volleyball tournament is 0.14.

mars1129 [50]

Answer:

0.14 as a percentage is 14%

4 0

3 years ago

A _____ is accepted to be true without proof, while a _____ is an assertion that can be proven using the rules of logic.

A _ is accepted to be true without proof, while a _ is an assertion that can be proven using the rules of logic.