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Assoli18 [71]
3 years ago
6

Write a two column proof for the following conjecture. Statements and reasons

Mathematics
1 answer:
bazaltina [42]3 years ago
3 0
<span>Information is given(reasons are in the parenthesis) 

Angle A and angle B are supplementary. Angle B and Angle C are supplementary  (given)


DC is parallel to AB (consecutive interior angles are supplementary )
BC is parallel to AD (consecutive interior angles are supplementary)

ABCD is a parallelogram (definition of parallelogram, has to pairs of parallel sides)</span>
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Find the percent of change on an item that was $44 and now costs $66.
iVinArrow [24]

Answer:

33.3%

Step-by-step explanation:

the increase in price was $22.  Find the ratio

$22

-------

$66

which comes out to 0.33333, or 33.3%.

The percent change in the price of the item is 33.3%.

4 0
3 years ago
NEED QUICKLY <br> Write the equation of the line shown below?
grandymaker [24]

y = x + 2

Step-by-step explanation:

General formula for any straight line:

y = mx + c

Where

m = gradient

c = constant

m = y2 - y1/x2 - x1

m = (4 - ( -2))/(2 - ( -4))

m = 6/6

m = 1

y = (1)x + c

y = x + c

Substitute any coordinate from the line of the equation.

4 = 2 + c

c = 2

substitute m and c into general formula

y = mx + c

y = x + 2

8 0
3 years ago
Read 2 more answers
The atomic weight of an unknown element,in atomic mass units (amu),is approximately 20% less than that of calcium. The atomic we
Mnenie [13.5K]
Amu of unknown element = 40 - (20% * 40)
= 40 - 8
= 38 amu

therefore, the approximate weight of the unknown element is 38 amu.

hope this helps.
4 0
3 years ago
Read 2 more answers
PQ has endpoint p(0,0)and Q(8,4) find the coordinates of the mid point pq
Vera_Pavlovna [14]
The answer is (4,2).

Midpoint formula:
(x \: y) = ( \frac{x2 - x1}{2}) (\frac{y2 - y1}{2} )
Find the x value:
x = ( \frac{x2 - x1}{2} )
Plug in the givens:
x =  \frac{8 - 0}{2}  =  \frac{8}{2}  = 4
Find the y value:
y = ( \frac{y2 - y1}{2} )
Plug in the values:
y = ( \frac{4 - 0}{2} ) =  \frac{4}{2}  = 2
5 0
3 years ago
Given f(x)=-5x+1f(x)=−5x+1, solve for xx when f(x)=6f(x)=6.<br> Answer:
DanielleElmas [232]

Answer:

The coefficient of x is 6

Step-by-step explanation:

The two expressions are

(x)=-5x+1f(x)=−5x+1

and .

f(x)=6f(x)=6.

The sum of the two expressions is

f(x)=-5x+1f(x)=−5x+1(f(x)=6f(x)=6.)

When we group like terms the expression will be,

f(x)=-5x+1f(x)=−5x+1(f(x)=6f(x)=6.)=f(x)=-5x+1f(x)=−5x+1(f(x)=6f(x)=6.)

When we  simplify the expression will now be

f−5x+1(f(x)=6.)

The coefficient of x is the constant behind x in the expression.

The coefficient of x is 3 therefore the answer is 3 .

Step-by-step explanation:

7 0
2 years ago
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