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3 years ago

Can someone pls help me with this question pls NUMBER 6

Mathematics

1 answer:

katrin2010 [14]3 years ago

5 0

Supplementary angles definition: They add up to 180°

There are several ways to prove a parallelogram:

1. Opposite sides theorem converse

2. Opposite angles theorem converse

3. Parallelogram diagonals theorem converse

4. Parallel congruent sides theorem

∠P + ∠Q = 180° --1

∠P + ∠S = 180° --2

1: ∠P = 180° - ∠Q

Sub 1 into 2:

180° - ∠Q + ∠S = 180°

180° + ∠S = 180° + ∠Q

∠S = ∠Q

Or you can try saying the opposite sides are parallel, since they are interior angles and those are straight lines

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Jane is training for a triathlon. After swimming a few laps, she leaves the health club and bikes 16 miles south. She then runs

lianna [129]

Answer:

The equation for the distance Jane's trainer bikes is $x=\sqrt{16^2+12^2}$ .

Step-by-step explanation:

We have attached diagram for your reference.

Given:

Distance traveled on bike towards south = 16 miles

Distance she ran towards west = 12 miles

We need to find distance Jane's trainer bikes.

Solution:

Let the distance Jane's trainer bike be 'x'.

Now we will assume it to be right angled triangle.

So by Pythagoras theorem which states that;

"Square of the third side is equal to the sum of square of the other two sides."

framing in equation form we get;

$x^2=16^2+12^2\\\\x=\sqrt{16^2+12^2}$

Hence the equation for the distance Jane's trainer bikes is $x=\sqrt{16^2+12^2}$ .

On solving we get;

$x=\sqrt{16^2+12^2}\\\\x= \sqrt{256+144}\\ \\x=\sqrt{400} \\\\x=20\ miles$

Hence Jane's trainer bikes a distance of 20 miles.

7 0

3 years ago

What does combining like terms refers to?

wolverine [178]

Combining like terms refers to adding all of the terms that have a exponent or a variable in an expression.

Example: 6y + 10y - 2

You would combine the like terms, which two numbers have a variable.

6y + 10y = 16y

After combing the like terms, the new expression should be:

16y - 2

7 0

3 years ago

I took a pic I hope that's fine

damaskus [11]

Answer:

20/35

Step-by-step explanation:

The framed wall art Modern is 20 and the total is 35 so unless you have to simplify this should be the answer

7 0

2 years ago

The perimeter of a rectangle is 37cm find X

anzhelika [568]

I think the answer is 16=x

3 0

2 years ago

Need help bad !!!!!!!!!!!!

Nonamiya [84]

There are 2 order pairs there (6,-4),(-2,4)
find the midpoint using the formula

(x1+x2)/2 , (y1+y2)/2
x=6 and -2
y=-4 and 4

(6+2)/2 , (-4+4)/2
8/2 ,0/2
the midpoint is (4,0) A

4 0

3 years ago

Read 2 more answers