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2 years ago

Can anyone please help me with this?

Mathematics

2 answers:

AnnyKZ [126]2 years ago

7 0

Answer:

m∠QPT = 110°

Step-by-step explanation:

1. We can use exterior angle theorem to find m∠QPT. Exterior Angle Theorem states that the exterior angle of a triangle is equal to the sum of the two remote angles in that same triangle.

This means that 6x + 20 = x + 40 + 4x - 5. Then, we can plug in the value of x into 6x + 20 and find the measure of ∠QPT.

2. (Solving)

Step 1: Combine like terms.

$6x + 20 = (x+4x)+(40-5)$
$6x + 20 = 5x + 35$

Step 2: Subtract 20 from both sides.

$6x + 20 - 20 = 5x + 35 - 20$
$6x = 5x +15$

Step 3: Subtract 5x from both sides.

$6x - 5x = 5x +15 - 5x$
$x = 15$

Step 4: Check if solution is correct.

$6(15)+20=(15)+40+4(15)-5$
$90 + 20 = 15 + 40 + 60 - 5$
$110 = 55 + 60 - 5$
$110 = 115 - 5$
$110 = 110$

3. Now, let's plug in 15 for 6x + 20:

$6(15)+20$

$90+20$
$110$

Therefore, m∠QPT = 110°.

bonufazy [111]2 years ago

7 0

Answer:

120

explain..
i hope this helps

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Step-by-step explanation:

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3 years ago

68% of the tickets sold at a water park were child tickets. If the park sold 50 tickets in all, how many child tickets did it se

Mnenie [13.5K]

Answer:

$\boxed{\bf\: The \: park \: sold \boxed{ 34{}} \: child \: tickets.}$

Step-by-step explanation:

Given:

Percentage of Tickets sold at a water park - 68%

The Number of Tickets if the park sold in all - 50

To Find:

The Number of child tickets the park sold.

Solution:

We know that 68% equals to 68/100.

Step 1: Multiply 68/100 by 50 which is the number of tickets the park sold :-

$\sf \: = \: \cfrac{68}{100} \times 50$

Note:The Simplified form of 68/100 * 50 would be the answer to this question.

Step 2: Cancel One zero of 50 and one zero of 100,That is:-

$\sf = \cfrac{68}{ 10\cancel0} \times 5 \cancel0$

Results to,

$\sf = \cfrac{68}{10} \times 5$

Step 3: Cancel 5 and 10, That is:-

$\sf = \cfrac{68}{ \cancel{10 }} \times \cancel5$

Results to,

$\sf =\: \cfrac{68}{2} \times 1$

$\sf = \cfrac{68}{2}$

Step 4: Cancel 68 and 2, That is:-

$\sf =\: \cfrac{ \cancel{68}}{ \cancel2}$

Results to,

$\sf = \cfrac{34}{1}$

$\sf = 34$

34 is the result.

Hence,

$\underline{ \rm \: The \: park \: sold \: \bold{ 34 } \: child \: tickets.}$

________________________________

I hope this helps!

Let me know if you have any questions.I am joyous to help!

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Answer:

Step-by-step explanation:

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or y=n(x²+2x-15)

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3 years ago

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3 years ago

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fgiga [73]

Answer:

The length of side of largest square is 15 inches

Step-by-step explanation:

The given suares are when joined in the way as shown in picture their sides form a right agnled triangle.

Area of square 1 and perimeter of square 2 will be used to calculate the sides of the triangle.

So,

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$s^2 = A\\s^2 = 81\\\sqrt{s^2} = \sqrt{81}\\s = 9$

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We can see that a right angled triangle is formed.

Here

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Pythagoras theorem can be used to find the length.

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