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krek1111 [17]
3 years ago
12

Can anyone tell me what the answer please

Mathematics
1 answer:
Tasya [4]3 years ago
3 0

What you're looking at in this image are two alternate exterior angles.

Alternate exterior angles, are, essentially, exterior angles of a transversal that runs through two parallel lines. These angles are on alternating sides. These angles, assuming the lines are parallel, must be equal.

There's a proof behind why these angles are equal, but I won't bore you with the specifics as the question doesn't require it.

So - we know that these two angles must be equal to prove that the lines A and B are parallel. Knowing this, we can write an equation:

5x + 20 = 3x + 60

<u>Subtract 20 from both sides:</u>

5x + 20 - 20 = 3x + 60 - 20

5x = 3x + 40

<u>Subtract 3x from both sides:</u>

5x - 3x = 3x - 3x + 40

2x = 40

x = 20

If you have any questions on how I got to the answer, just ask!

- breezyツ

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Find the equation of the line that is perpendicular to the line y = (-1/3)x -1 and passes through the point (1, 5)?
Anit [1.1K]

bearing in mind that perpendicular lines have negative reciprocal slopes, so


\bf \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}~\hspace{10em}\stackrel{slope}{y=\stackrel{\downarrow }{-\cfrac{1}{3}}x-1} \\\\[-0.35em] ~\dotfill


\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{1}{3}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{3}{1}}\qquad \stackrel{negative~reciprocal}{+\cfrac{3}{1}\implies 3}}


so we're really looking for a line whose slope is 3 and runs through (1,5)


\bf (\stackrel{x_1}{1}~,~\stackrel{y_1}{5})~\hspace{10em} slope = m\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-5=3(x-1) \\\\\\ y-5=3x-3\implies y=3x+2

4 0
3 years ago
A rectangle is three centimeters.longer than it is wide. if its length were to be decreased by two centimeters, its area would d
Scorpion4ik [409]
Given/equations formed from text:
I: l=w+3
II: A=l*w
III: new area B=(l-2)*w
IV: B=A-30

substitute l in II with I to remove l:
II': A=l*w=
(w+3)*w=
w^2+3w

substitute l in III with I to remove l:
III': B=(l-2)*w=
(w+3-2)*w=
(w+1)*w=
w^2+w

substitute A and B from II' and III' into IV:
B=A-30
w^2+w=w^2+3w-30
30=2w
w=15

insert w=15 into I:
l=15+3=18
->
A) dimensions of full size rectangle are width 15 and length 18
dimensions of reduced size rectangle are width 15 and length 16

B) full size: 15*18=10*18+5*18=180+90=270cm^2
reduced size: 15*16=10*16+5*16=160+80=240cm^2


7 0
4 years ago
The table below displays the purchases that Graphic DesignWorks made from
AveGali [126]

If Graphic Design Works uses LIFO and has 125 shorts left in its inventory, the value of its current stock is <u>D. $1485</u>.

<h3>What is the LIFO inventory system?</h3>

The Last-In, First-Out (LIFO) method is an inventory valuation method that assumes that the last units to arrive in inventory are sold first.

The LIFO method is allowed under US GAAP.  It is the opposite of FIFO (First-in, First-Out).  The FIFO method assumes that the units bought first are the first to be sold.

<h3>Data and Calculations:</h3>

Month of                    Number    Price per        Total Cost

Purchase                  of shorts       shorts

June                             40                $11                    440 (40 x $11)

July                              60                $12                   720 (60 x $12)

August                        80                 $13                1,040 (80 x $13)

September                 90                 $14                1,260 (90 x $14)

Ending inventory      125

Using LIFO:

Value of ending inventory = $1,485 ($440 + $720 + $13 x 25)

Thus, if Graphic Design Works uses LIFO and has 125 shorts left in its inventory, the value of its current stock is <u>D. $1485</u>.

Learn more about the LIFO inventory method at brainly.com/question/6640325

#SPJ1

6 0
2 years ago
What is the measure? Would appreciate any help!
Luba_88 [7]

Answer:

If I'm not wrong, angle O should be 62°!

Step-by-step explanation:

since triangle MON and triangle DAY are equal, if we add 75° and 43° it would be 118°. We then subtract 118° from 180° and it should be 62°. :)

6 0
3 years ago
Read 2 more answers
Dwayne wants to buy a jump rope that costs $4, a board game that costs $7, and a playground ball that costs $3. He has saved $9
Natali5045456 [20]

Answer:

he needs $1

Step-by-step explanation:

add 4+7+3=14 then your gonna add what he already has which is 9+4= 13 so 14-13=1

4 0
3 years ago
Read 2 more answers
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