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Volgvan
3 years ago
7

Points X and Z are on a number line, and point Y partitions line XZ into two parts so that the ratio of the length of line segme

nt XY to the length of line segment YZ is 1:4. The coordinate of X is 1.3, and the coordinate of Y is 3.8. What is the coordinate of Z?
Mathematics
1 answer:
hram777 [196]3 years ago
7 0

Answer:

<h3>13.8</h3>

Step-by-step explanation:

if Points X and Z are on a number line and point Y partition line XZ into two parts where XY: YZ = 1:4, this can be expressed as;

XY/YZ = 1/4

cross multiply;

YZ = 4XY

Also, if The coordinate of X is 1.3, and the coordinate of Y is 3.8, then the distance XY will be expressed as XY = 3.8 - 1.3

XY = 2.5

YZ = 4(2.5)

YZ = 10

Since Y is at 3.8 and YZ is 10, then coordinate Z will be YZ + Y

coordinate of Z = 10+3.8

coordinate of Z = 13.8

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Describe how to find all the points on a baseball field that are equidistant from second base and third base.
Zielflug [23.3K]

From the given diagram, the following statements are true:

AB = BC

3y = 5y - 22

3y - 5y = -22

-2y = -22

y = 11

Similarly, m<DBE = 50 degrees

m<BED = 90 - m<DBE

m<BED = 90 - 50

m<BED = 40 degrees

Since BE = BC = 3y

BE = BC = 3(11) = 33

Also, 7x  - 2 = 40

7x = 40 + 2

7x = 42

x = 6

Get the measure of m<BEA

m<BEA = 7x - 2

m<BEA = 7(6) - 2

m<BEA = 40 degrees

Learn more on angles here: brainly.com/question/16281260

8 0
3 years ago
2.6 Puzzle time how can you make sure to start a fire with two sticks?
enyata [817]

Answer:

"Make sure one of them is a match"

Step-by-step explanation:

It takes a little practice and above all to generate heat through friction. By raising the temperature of the woods, it is possible to reach the ignition temperature through friction.

Fires require good equipment and good technique. The majority of times it fails is due to a lack of technique and equipment. This can make learning difficult.

For wood selections, you generally want to comply with the following:

  • Dry Tinder
  • You should be able to press the wood. If you can't, then it is too difficult.
  • Wood not very strong but not soft
  • Not sap in the wood

Make the friction forming a 90 degree angle between them, like a cross. Keep one of the sticks supported on the floor vertically, and the other horizontally rubbing it against it at rapid speed, at intervals.

Under this wood put dry tinder that is able to ignite quickly once you generate the fire.

And for the Puzzle remember the orden of the words:

<h2>Make sure one of them is a match. </h2>

Use tree wood, rub and heat until ignition is generated.

5 0
3 years ago
What is the length of YZ?
Bogdan [553]

Answer: C

Hello,

Step-by-step explanation:

WZ=7-3=4

YW²=XW*WZ=3*4=12 ==> WY=2√3

In the right triangle YWZ, using the Pythagorean's theorem:

YZ²=WY²+WZ²=12+4²=28

YZ=2√7≅5.29150....

Answer C

3 0
3 years ago
Solve. 4.75t + 5 = 13.5t + 12 The solution is t = .
Eddi Din [679]
Answer: t= -0.799
This can also be written as t= -0.8

How to do it :

4.74t+ 5 = 13.5t + 12

first, subtract 4.74t from both sides
5= 8.76t + 12

next, subtract 12 from each side
-7 = 8.76t

next, divide 8.76 from each sides

-0.799 = t
7 0
2 years ago
If a segment has an<br> endpoint of (-2,9) and a<br> midpoint (3,-2), find the other<br> endpoint.
Alik [6]

Answer: (8, -13)

Step-by-step explanation:

-2 is 5 away from 3, and 9 is 11 away from -2. so add 5 to 3 which is 8, and add -11 to -2 which is -13.

5+3=8 (x)

-11+(-2)=-13 (y)

There for the correct answer is (8, -13) when (x, y).

Please Rate!! It helps me know if I'm explaining it well enough!! Thank you!<3

5 0
2 years ago
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