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tamaranim1 [39]
3 years ago
5

In the diagram below, TUVW is a rectangle. Prove triangle TZW is congruent to triangle UZV.

Mathematics
1 answer:
otez555 [7]3 years ago
8 0

Answer:

By S.S.S. congruence property;  ΔTZW ≅ ΔVZU

Step-by-step explanation:

Given:

TUVW is a rectangle.

To Prove : TZW ≅ UZV

Proof:

Since TUVW is a rectangle, and we know that opposite side of a rectangle is equal.

So,

TW = UV \ \ .\ .\ .\ .\ 1

And also TV and WU are the diagonals of the rectangle.

And the diagonals of rectangle bisects each other.

Therefore;

TZ=ZV.........\ 2\\\\WZ=ZU..........\ 3

Now In ΔTZW and ΔVZU

TW = UV (from 1)

TZ = ZV (from 2)

WZ = ZU (from 3)

So, by S.S.S. congruence property;

ΔTZW ≅ ΔVZU

Hence proved.

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Answer and Explanation:

To find : Which number is in standard notation or scientific notation?

Solution :

Scientific notation is a special ways of writing the standard form of number.

Scientific notation make a big number into smaller way bye writing it into 10 to the power or using E.

Standard notation is like 12,47950585,89000.

Scientific notation is like 1.43\times 10^3 , 1.43E10

So, Now we examine the numbers,

A) 5.9E10 is the Scientific notation.

B) 0.0000734 is the Standard notation.

C) 2.66\times 10^{-3} is the Scientific notation.

D) 641,000,000,000 is the Standard notation.

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Answer:

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Step-by-step explanation:

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3 years ago
Two trucks leave a warehouse at the same time. one travels due west at an average speed of 49 miles per hour, and the other trav
Gre4nikov [31]

Well there can be two different solutions for this but i will choose the easier one. Obviously one requires a system of equations which obviously will involve a lot of thinking and some good algebra solving in order for them to solve.

So we can just keep adding the distance as we know they are in different directions. 49 + 65 = 114. So 114 * 4.5 = 513 miles. SO after around 4.5 hours they will be 513 miles apart.

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Jay estimates that a basketball weights about .5 pounds. Shawna estimates that a basketball weights about.05. Whose estimate is
Natasha_Volkova [10]

Answer:

Jay's estimate is closer to the actual weight of the basketball

Step-by-step explanation:

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Judging the accuracy of Jay's and Shawna's answer based on their percentage error when compared with the standard, we have that Jay's answer has a lower error as shown below

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