What is the reason for statement 4 in the two column proof

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Lera25 [3.4K]

B is the midpoint

$\\ \sf\longmapsto AB=\dfrac{1}{2}AC$

$\\ \sf\longmapsto 7x-3=\dfrac{5}{2}$

$\\ \sf\longmapsto 5=2(7x-3)$

$\\ \sf\longmapsto 5=14x-6$

$\\ \sf\longmapsto 14x=6+5$

$\\ \sf\longmapsto 14x=11$

$\\ \sf\longmapsto x=\dfrac{11}{14}$

$\\ \sf\longmapsto x=7.8$

6 0

3 years ago

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Hi!!!! Can someone please help me answer this math question??

GalinKa [24]

The shortcut is the hypotenuse of a right triangle with legs 6 and 8, so 6²+8²=c²

36+64=c
100=c²
c=10.
so he traveled 6+8+10=24km

6 0

4 years ago

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Seven and thirty twp hundreths plus two and one tenth times two and seven tenths minus 18a

alexdok [17]

Answer: Write the expression as:

" 70 $\frac{32}{100}$ +
2 $\frac{1}{10}$ * 2 $\frac{7}{10$ − 18a " ;
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or; write as:
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" 70.32 + (2.1) * (2.7) − 18a " ;
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To simplify:
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Using "PEDMAS" (the "order of operations") ;

the "multiplication" comes first;

So: → "(2.1) * (2.7) = 5.67 " .

And rewrite:
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" 70.32 + 5.67 − 18a " .

Now: " 70.32 + 5.67 = 75.99 " ;

So, we can the final simplified expression as:
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" 75.99 − 18a " ;

or; write as: " 75 $\frac{99}{100}$ − 18a " .
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7 0

3 years ago

A square with sides of 3 squareroot 2 is inscribed in a circle. what is the area of one of the sectors formed by the radii to th

mrs_skeptik [129]

Drawing this square and then drawing in the four radii from the center of the cirble to each of the vertices of the square results in the construction of four triangular areas whose hypotenuse is 3 sqrt(2). Draw this to verify this statement. Note that the height of each such triangular area is (3 sqrt(2))/2.

So now we have the base and height of one of the triangular sections.

The area of a triangle is A = (1/2) (base) (height). Subst. the values discussed above, A = (1/2) (3 sqrt(2) ) (3/2) sqrt(2). Show that this boils down to A = 9/2.

You could also use the fact that the area of a square is (length of one side)^2, and then take (1/4) of this area to obtain the area of ONE triangular section. Doing the problem this way, we get (1/4) (3 sqrt(2) )^2. Thus,
A = (1/4) (9 * 2) = (9/2). Same answer as before.

4 0

3 years ago

Round 2.85 to the nearest hunderdth

andreyandreev [35.5K]

Answer 2.85

On rounding to nearest hundredths, we get than 2.85 as at thousandths place, there is 9 which is greater than 5, so 1 is added to the hundredth value.

3 0

3 years ago