MATHEMATICS MIDDLE SCHOOL

Given X is the midpoint of WY and VZ, Prove VW=ZY

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Since X is the midpoint, we have that WX=XY and VX=XZ (given in the statement)

If we label the five points W,X,Y,V and Z and draw line segments WV and ZY.

We have two triangles.

The angle zxy = wxv since opposite angles are equal.

Given the above, we have 2 congruent triangles (side-angle-side)

Since the two triangles are congruent, then the sides opposite the angle x (WV and ZY) must be equal.

Answer 2

Answer:

The statement establishes that point X is the midpoint of segment WY, and VX is equal to XZ.

How to determine this

By labeling the five points W, X, Y, V, and Z and connecting WV and ZY, we form two triangles. These triangles share the angle ZXY with the opposite angles being equal.

Therefore, we have congruent triangles, proven by the side-angle-side congruence criterion. Consequently, the sides opposite angle X, namely WV and ZY, must be equal in length. This conclusion stems from the congruence of the triangles, demonstrating that geometric relationships can be deduced through congruence principles in triangles.

Read more about congruent triangles here:

brainly.com/question/29789999

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132,554 round to nearest tenth

Answers

Answer:if you ment "round to the nearest tens" and not tenths. your answer would be 132,550. and if you ment to put a decimal like 132.550 your answer would be 132.6

places values:
one hundred thousand, ten thousands, thousands, hundreds, tens, ones, tenths, hundredths, thousands

132,554 is already rounded to the nearest tenth

PLEASE HELP FAST!!!The mass of the Rock of Gibraltar is 1.78 ⋅ 10^12 kilograms. The mass of the Antarctic iceberg is 4.55 ⋅ 10^13 kilograms. Approximately how many more
kilograms is the mass of the Antarctic iceberg than the mass of the Rock of Gibraltar? Show your work and write your answer in scientific notation.
Make sure to explain all the steps it took you to get the answer! :)

Answers

Mass of the Antarctic iceberg = 4.55*10^13
Mass of the rock of Gibraltar = 1.78*10^12
Excessive mass of Antarctic Iceberg than rock of Gibraltar
4.55*10^13 - 1.78*10^12
If we want to subtract easily both should be in same power of ten
45.5*10^12 - 1.78*10^12
43.72*10^12
4.372*10^13

A picture frame (rectangle) has a length of 8.5 inches and a perimeter of 38 inches. How would you find the width of a picture frame. (Use words). And what is the width, show your work?

Answers

The answer is 10.5 inches for width

First you can add 8.5 + 8.5 = 17 because the opposite side of the 8.5 is also 8.5.

After You have to divide subtract 17 from 38 which equals 21. Then you divide by 2 which equals 10.5.

For perimeter you need to add all the sides so we add 8.5 + 8.5 + 10.5 + 10.5.

NEED HELP! GIVING 15 POINTS1. convert to a fraction. 5^-3
A. 1/5
B. 1/15
C. 1/25
D. 1/125

2.15^0=?
A. 0
B. 1
C. 15
D. 1/15

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Number 2 is A number one is also A

Write a word problem that can be solved by finding the numbers that have four as a factor

Answers

Chelsea has two red balls Chelsea's friend Marcy has two times that many balls how many balls does Marcy have ?

Solve for X and Y 3x+(2 x-y)i = 6-3i

Answers

Answer:

x = 2 and y = 7

Step-by-step explanation:

$\text{Two complex numbers are equal when they have equal real parts}\n\text{ and equal imaginary parts}\n\na+bi=c+di\iff a=c\ and\ b=d$

$3x+(2x-y)i=6-3i\iff3x=6\ \wedge\ 2x-y=-3\n\n3x=6\qquad\text{divide both sides by 3}\n\n\boxed{x=2}\n\n\text{Put the value of x to the second equation:}\n\n2(2)-y=-3\n\n4-y=-3\qquad\text{subtract 4 from both sides}\n\n-y=-7\qquad\text{change the signs}\n\n\boxed{y=7}$

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