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Fantom [35]
2 years ago
5

On a number line, suppose point E has a coordinate of 4, and EG = 11. What are the possible coordinates of point G?

Mathematics
1 answer:
navik [9.2K]2 years ago
4 0

Answer:

  -7, 15

Step-by-step explanation:

The positive difference between E and G is 11.

<h3>Solution</h3>

  G - E = 11

  G = 11 + E = 11 + 4

  G = 15 . . . . . . . . . . . . . when G is right of E

__

  E - G = 11

  E - 11 = G = 4 - 11

  G = -7 . . . . . . . . . . . . when G is left of E

Possible coordinates for G are -7 and 15.

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PLEASE HELP ME WITH THIS MATH!!!!!!!!!. pLeAsE i ReAlLy NeEd SoMe HeLp
KonstantinChe [14]
Part 1) we know that
m∠5=44°    m∠11=86°
m∠2=m∠5------> by vertical angles
m∠2=44°
m∠13=m∠11------> by vertical angles
m∠13=86°
m∠12+m∠13=180°-----> supplementary angles
m∠12=180-86-----> m∠12=94°
m∠14=m∠12----> by vertical angles
m∠14=94°
m∠1=m∠11----> by corresponding angles
m∠1=86°
m∠4=m∠1----> by vertical angles
m∠4=86°
m∠2+m∠1+m∠6=180
m∠6=180-(86+44)----> 50°
m∠6=50°
m∠3=m∠6----> by vertical angles
m∠3=50°
m∠8=m∠3----> by corresponding angles
m∠8=50°
m∠8+m∠7=180°-----> supplementary angles
m∠7=180-50----> 130°
m∠7=130°
m∠10=m∠6----> by corresponding angles
m∠10=50°
m∠10+m∠9=180°-----> supplementary angles
m∠9=180-50-----> 130°
m∠9=130°

the answers Part 1) are
m∠1=86°
m∠2=44°
m∠3=50°
m∠4=86°
m∠5=44° 
m∠6=50°
m∠7=130°
m∠8=50°
m∠9=130°
m∠10=50°
m∠11=86°
m∠12=94°
m∠13=86°
m∠14=94°

Part 2) 
a) what is m∠TPR?
in the right triangle PTR 
m∠PTR+m∠TPR+m∠TRP=180° ( the sum of internal angles of triangle is equal to 180 degrees)
m∠PTR=30°
m∠TRP=90°
so
m∠TPR=180-(90+30)----> 60°

the answer Part 2a) is 
m∠TPR=60°

b) what is the length in inches of segment PR?
in the right triangle PTR 
sin 30=PR/TP-----> PR=TP*sin 30-----> PR=14*(1/2)----> 7 in

the answer Part 2b) is
PR=7 in

c)  what is the length in inches of segment TR?
in the right triangle PTR 
cos 30=TR/PT-----> TR=PT*cos 30-----> TR=14*(√3/2)---> TR=7√3 in

the answer Part 2c) is
TR=7√3 in

d)  what is the length in inches of segment PQ?
in the right triangle PQR
PR=7 in
RQ=PR-----> by angle 45°
so
RQ=7 in
applying the Pythagoras Theorem
PQ²=RQ²+PR²-----> 7²+7²-----> PQ²=98-----> PQ=√98 in---> PQ=7√2 in

the answer Part 2d) is
PQ=7√2 in

Part 3) Patrice buys a block of wax in the shape of a right rectangular prism. The dimensions of the block are 20 cm by 9 cm by 8 cm.
  <span><span>(a)   </span>What is the volume of the block?

volume of the prism=20*9*8-----> 1440 cm³

the answer Part 3 a) is
the volume of the block is 1440 cm³
<span>
Patrice melts the wax and creates a candle in the shape of a circular cylinder that has a diameter of 10 cm and a height of 15 cm.<span>(b)   </span>To the nearest centimeter, what is the volume of the candle?
</span></span>volume of a cylinder=pi*r²*h
diameter=10 cm
radius r=10/2----> 5 cm
h=15 cm
volume of a cylinder=pi*5²*15----> 1177.5 cm³-----> 1178 cm³

the answer Part 3b) is
the volume of the candle is 1178 cm³

<span>Patrice decides to use the remaining wax to create a candle in the shape of a cube.<span>(c)   </span>To the nearest centimeter, what is the length of the side of the cube?
</span>
the remaining wax=volume of the prism-volume of a cylinder
=1440-1178-----> 262 cm³

volume of a cube=b³
where b is the length side of the cube
262=b³-------b=∛262-----> b=6.40 cm-----> b=6 cm

the answer Part 3c) is
the length of the side of the cube is 6 cm
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3 years ago
What is 6,383 in expended form?<br>​
liberstina [14]

Answer:

expanded notation form:

 6,383 =

 6,000  

+ 300  

+ 80  

+ 3  

expanded factors form:

   6,383 =

 6 × 1,000  

+ 3 × 100  

+ 8 × 10  

+ 3 × 1  

expanded exponential form:

 6,383 =

6 × 103

+ 3 × 102

+ 8 × 101

+ 3 × 100

Step-by-step explanation:

i wasn't entirely sure what you needed but i hope this helps :) have a great day !!

8 0
3 years ago
X + 14 = 56 What would I do to both sides to answer this equation? O Multiply both sides by 14 © Subtract both sides by 14 Subtr
Lorico [155]

To solve for X in this equation, you would subtract both sides by 14 because our goal is to get X on its own. If we write it out, we see that

X + 14 - 14 = 56 - 14

X=42

Because we have a positive 14, a negative 14 will average out to be 0, but what you do to one side, you must do to the other.

If you have any more questions, feel free to ask!

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8% of the ride in the park are water rides
Alchen [17]

Answer:

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Mariulka [41]

Answer:

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Step-by-step explanation:

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8 0
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