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3 years ago

20 points Complete the proof. Prove: △TUW ≅ △SVW

Mathematics

2 answers:

Sergeu [11.5K]3 years ago

8 0

Answer:

<h2>B) ASA theorem.</h2>

Step-by-step explanation:

The missing reason is ASA, which is about the congruence between Angle-Side-Angle, like this case.

Notice that we already have to pair of angles congruent, and one pair side congruent, that's why we use ASA to demonstrate the congruence.

Therefore, the right answer is B.

Ghella [55]3 years ago

6 0

B) ASA Congruence

Hope this helps!

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A curious patterns occurs in a group of people who all shake hands with one another. It turns out that you can predict the numbe

ycow [4]

Missing part of the question

Determine the number of handshakes, i, that will occur for each number of people, n, in a particular room. (people)

Answer:

$S_n = \frac{n}{2}(n - 1)$

Step-by-step explanation:

Given

For 5 people

$\begin{array}{cc}{People} & {Handshakes} & {5} & {4} & {4} & {3} & {3} & {2} & {2} & {1} & {1} & {0} &{Total} & {10} \ \end{array}$

Using the given instance of 5 people, the number of handshakes can be represented as:

$(n - 1) + (n - 2) + (n - 3) + ........ + 3 + 2 + 1 + 0$

The above sequence is an arithmetic sequence and the total number of handshakes is the sum of n terms of the sequence.

$S_n = \frac{n}{2}{(T_1 + T_n})$

Where

$T_1 = n - 1$ --- The first term

$T_n = 0$ --- The last term

So:

$S_n = \frac{n}{2}(n - 1 + 0)$

$S_n = \frac{n}{2}(n - 1)$

7 0

2 years ago

-9 - (-4) = <br> What does that equal to?

CaHeK987 [17]

Answer:

-5

Step-by-step explanation:

When you subtract a negative you end up adding it instead

5 0

2 years ago

Find the values of the apple, banana and lollypop below.<br><br> Pls help

maks197457 [2]

Answer:

a= Apple = 3

b= Banana =5

v= Lollypop=1

Step-by-step explanation:

36 is divided into 2 giving us 18

Let apple=a

Banana=b

Lollypop=c

In the first half

An apple + 3 bananas=18

a+3b=18 (1)

Second half is further divided into 2

That is,

18÷2=9

First half of the second half

3apples=9

3a=9 (2)

Second half of the second half

1 apple + 1 banana + 1 lollypop=9

a+b+c=9 (3)

a+3b=18 (1)

3a=9 (2)

a+b+c=9 (3)

From (2)

3a=9

Divide both sides by 3

a=9/3

a=3

Substitute a=3 into 1

a+3b=18

3+3b=18

3b=18-3

3b=15

Divide both sides by 3

b=15/3

b=5

Substitute the value of a and b into (3)

a+b+c=9

3+5+c=9

8+c=9

c=9-8

c=1

Therefore,

a= Apple = 3

b= Banana =5

v= Lollypop=1

6 0

3 years ago

X + 8y = 18 and — 5x + 3y = -4

atroni [7]

X+8y=18
-5x+3y=-4

Multiply the first equation by 5
Add the two equations together

5x+40y=90
-5x+3y=-4
43y=86
Y=2

Plug y into one equation to find x
X+16=18
X=2

5 0

3 years ago

Read 2 more answers

*PLS HELP

n200080 [17]

Answer:

y = 3x +4

Step-by-step explanation:

The equation for the parallel line will have the same x- and y-coefficients, but a different constant. You can put the given point values into the equation to see what the constant needs to be:

y = 3x + b

10 = 3·2 + b . . . . . . substitute x=2, y=10

4 = b . . . . . . . . . . . . subtract 6

The equation of the line is ...

y = 3x +4

3 0

2 years ago

*20 points* Complete the proof. Prove: △TUW ≅ △SVW

20 points Complete the proof. Prove: △TUW ≅ △SVW