The Pythagorean Theorem and its Converse pt. 2
(Question 10)

Please answer all questions and solve step by step and please try to show/explain with the least words as possible and use mostly numbers to for explain there can still be some words tho.

Answer:

The line x=b2a will serve as the parabola's axis of symmetry.

Detailed explanation:

Graph the parabola y=x2−7x+2 .

To get the values of a, b, and c, compare the equation with y=ax2+bx+c.

In this case, a=1, b=7, and c=2.

To write the axis of the symmetry equation, use the coefficient values.

The line x=b2a serves as the axis of symmetry for a quadratic equation of the form y=ax2+bx+c. Therefore, x=(7)2(1) or x=72 is the equation of the axis of symmetry of the given parabola.

To determine the vertex's y coordinate, change x=72 in the equation.

y=(72)2−7(72)+2 =494−492+2 =49 − 98 + 84  =−414

The vertex's coordinates are (72, 414) as a result.

Answer:

im sure its 12

Step-by-step explanation:

Answer:

1.  40π

2.  7

3.  It's probably wrong because you didn't screenshot the whole chart.

Answer:

The required height of the lighthouse is given as 160 ft tall.

Given that,

A scale model of a lighthouse has a scale of 1 in. : 8 ft. The scale model is 20 inches tall.

What is the scale factor?

The scale factor is defined as the ratio of the modified change in length to the original length.

What is the Ratio?

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

here,

scale factor = 1 / 8 in per ft

Now,

The actual length of the lighthouse =  20 / [1 / 8]

                                                            = 20 × 8 = 160 ft

Thus, the required height of the lighthouse is given as 160 ft tall.

Learn more about Scale factors here:

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Step-by-step explanation:

Answer:

78 pages

Step-by-step explanation:

You can read 52 pages per hour and therefore in half an hour you can read:

For an hour and half you read:

Answer:

Step-by-step explanation:

b

Answer:

A). 1/8

B). 5 cups

C). 8/1

D). 40 cookies

E). 0 cookies

Answer: He should knit at least 25 scarfs.

Step-by-step explanation:

can you please mark me brainliest?

Answer:

1 false

2 true

3 true

4 true

Answer:

The part of the whole was not converted to a decimal or fraction

Step-by-step explanation:

700 is not 35% of 20.

This can be concluded with the product not being calculated properly to calculate 35% of 20.

We first need to turn 35% (whole number) into a decimal of 0.35 to figure out the percentage.

so the actual calculation:
0.35x20

= 7

Correct the error:
ANS: 7 is 35% of 20.

Answer:

B; 7

Step-by-step explanation:

35% = 0.35 (decimal form)

Therefore: 0.35 x 20 = 7

Answer:the third one

Step-by-step explanation: 0.45 is just 45/100

Answer:

C.

Step-by-step explanation:

Can you click the crown on this answer please? Thanks!

Answer: A

The

Step-by-step explanation:

Answer: 1/21

Step-by-step explanation: Change 6/1 to 1/6 and multiply

Answer:

Step-by-step explanation

If you've ready any of our fraction walkthroughs before, you'll know we always kick the show off with a quick recap for the kids. The number above the dividing line is the numerator, and the number below the line is the denominator. Simple stuff but sometimes we can all get a little forgetful!

To visualize the question we are trying to solve, let's put 2/7 and 6 side-by-side so it's easier to see:

2

7

÷   6

So here is the incredibly easy way to figure out what 2/7 divided by 6 is. All we need to do here is keep the numerator exactly the same (2) and multiple the denominator by the whole number:

2

7 x 6

=

2

42

Can it possibly be that simply to divide a fraction by a whole number? Yup. I hate to disappoint you but this might be the easiest problem you've had to solve all day long!

In this particular case there is one slight adjustment we can make. The new fraction we have (2/42) can actually be simplified down to a smaller fraction:

your welcom

Answer:

126cm³

Step-by-step explanation:

In order to find the volume of the cube, you must multiply all three units together. So we would multiply 7·6·3=42·3=126. Then since we multiplied 3 units together, our final answer is 126cm³  

Answer:

Hello!!! :)))

A=2(wl+hl+hw)=2·(3·6+7·6+7·3)=162

Answer: 162 cm2

Hint when finding the surface area it will be [tex]cm^{2}[/tex],  [tex]in^{2}[/tex] ,  [tex]ft^{2}[/tex] , etc.

Answer:

Since you must read 52 page per hour, and there is 2 hours to complete assignment, then you will do this:

52 + 52 = 104

You would be able to read 104 pages in 2 hours, which is less than 130, so you would NOT be able to complete the assignment.

Step-by-step explanation:

Hope it helps! =D

Answer:

Step-by-step explanation:

divide by 6

2k+8=-8

subtract 8 in both sides

2k=-16

divide by 2

k=-8

equal to -8

In order to solve for k you always want to try and isolate the variable (trying to get only k on one side of the equal sign). You can start of by distributing 6 into the numbers in the parenthesis. So 6 times 2k is 12k and 6 times 8 is 48. So in reality, you now have 12k+48= -48. Then you can subtract 48 from the left side to cancel it out. Note: you would not add 48 to cancel out the -48 on the right because you need a number on both sides of the equal sign. So once you subtract -48 from one side you must do it to the other so -48-48 is -96. Now you have 12k=-96. All you have to do now is cancel out the 12k but dividing since it is the inverse of multiplying. Divide 12 from both sides and -96 divided by 12 is -8.

So your answer is k=-8

Answers for pictures 1, 2, &3

Question 1: P = 35 degrees

It is given to us that angles N and P are complementary.

Complementary angles means the sum of the angles = 90 degrees.

Because angles N and M are supplementary, meaning they = 180 degrees, you can subtract angle M from 180.

180 - M = N

180 - 125 = 55

N = 55 degrees

Now that we know N = 55 degrees, we subtract that from 90 degrees to find P for N + P = 90 degrees, so if we subtract 55 from 90 we will get the value of angle P.

90 - N = P

90 - 55 = 35

P = 35 degrees!

Question 2: Option 4

We are trying to figure out which angles are congruent to one another.

We can rule out option one, for angles 1 & 4 are supplementary meaning their sum = 180 degrees.

The same applies for options 2 & 3, leaving us with the correct answer, option 4. We can make sure this is true because angles 3 & 5 are alternate interior angles, and alternate interior angles of parallel lines are congruent.

Question 3: x = 5

The three different angles add up to 180 because they are a straight angle.

First, we need to find out what 9 and 10 are equal to.

To do so, we can subtract 85 from 180.

180 - 85 = 9x + 10x

9x + 10x = 95

Now that we have an equation, we can simplify to find the value of x.

9x + 10 = 95

19x = 95

Divide by 19 on each side to isolate the variable x

x = 5

Hope this helps!

Answer:24 im pretty sure

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/5=2/10

Answer:

7 and 11 are the rates

Step-by-step explanation:

Answer:

Question 6 & 9 is not a right-angled triangle. However, Question 7 & 8  is right-angled triangle.

Step-by-step explanation:

A triangle can be determined to be a right-angled triangle if and only if one of the following conditions is satisfied:

Pythagorean Theorem: If in a triangle, the square of the length of the longest side (the hypotenuse) is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right-angled triangle. Symbolically, if a, b, and c are the lengths of the sides of the triangle, with c being the length of the hypotenuse, then a^2 + b^2 = c^2.

Angle criterion: If in a triangle, one of the angles is equal to 90 degrees, then the triangle is a right-angled triangle.

Right Angle Mark: If a triangle has a right angle mark (a small square) on one of its angles, then it is a right-angled triangle.

By using any one of the above methods, you can determine whether a triangle is a right-angled triangle or not.

So, Question no 6

Let the distance between three cities be a, b and c i.e. 45 miles, 56 miles and 72 miles.
using Pythagoras theorem,
a^2 + b^2 = c^2
45^2+56^2=72^2
2025+3136=5184
5161=5184

Hence, It's not a right-angled triangle.

So, Question no 7 has three sides a, b and c i.e. 4 ft, 3 ft and 5 ft.
using Pythagoras theorem,

a^2 + b^2 = c^2
4^2+3^2=5^2
16+9=25
25=25
Hence, it's a right-angled triangle.

Question no 8 also have three sides a, b and c i.e. 5 in, 12 in and 13 in.
using Pythagoras theorem,

a^2 + b^2 = c^2
5^2+12^2=13^2
25+144=169
169=169
Hence, it's a right-angled triangle.

Question no 9 also have three sides a, b and c i.e. 9.5 feet, 16 feet and 18.5 feet.
using Pythagoras theorem,

a^2 + b^2 = c^2
9.5^2+16^2=18.5^2
90.25+256=342.25
346.25=342.25
Hence, It's not a right-angled triangle.

Answer:

8.2

4.5

6.5

Step-by-step explanation:

Answer:

3.75 cups of sugar

Step-by-step explanation:

if he needs 2.5 times as much sugar as 1.5 cups of sugar, he needs

2.5x1.5= 3.75 cups of sugar

Answer:

1st term: 5m  2nd term:9

coefficient= 5

constant=9

Step-by-step explanation:

Answer:

Step-by-step explanation:

1st term: 5m  2nd term:9

coefficient= 5

constant=9

yw it is easy

i am postitive its 40

The circumference of the circle is 24π cm.

The area of a circle is given by the formula:

                                A = πr²

where A is the area of the circle and r is the radius.

In this problem, we know that the area of the circle is 144π cm^2. Substituting this value into the formula, we get:

                               144π = πr²

Dividing both sides by π, we get:

                               r² = 144

Taking the square root of both sides, we get:

                               r = 12

Therefore, the radius of the circle is 12 cm.

The circumference of a circle is given by the formula:

                               C = 2πr

Substituting the value of r, we get:

                               C = 2π(12)

Simplifying, we get:

                               C = 24π

Therefore, the circumference of the circle is 24π cm.

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Answer:

Therefore, the circumference of the circle is 24π cm.

Step-by-step explanation:

A circle's circumference is the distance around its outside.. It is similar to the perimeter of other shapes such as squares. Consider it to be the line that defines the shape.

The circle's circumference is 24 cm.

The area of a circle is:

                              A = πr²

where A denotes the circle's area and its radius.

In this problem, we know that the area of the circle is 144π [tex]cm^2.[/tex] Exchange this value into the formula, and we get.

       144π = πr²

Divide π by both sides, and we get:

        r² = 144

Take the square root on both sides, and we get:

          r = 12

The radius of the circle is 12cm.

The circumference of a circle is:

          C = 2πr

Exchange the value of r, we get:

           C = 2π(12)

Finally, we get:

             C = 24π

Therefore, the circumference of the circle is 24π cm.

To learn more about circumference of the circle,

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To learn more about radius of the circle,

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(1) Total No of families = 1500

Total No of families with 2 girls = 475

Probability of family being chosen at random having 2 girls = 475/1500 = P1 = 19/60

(2) Total No of families = 1500

Total No of families with 1 girl = 814

Probability of family being chosen at random having 1 girl = 814/1500 = P2 = 407/750

(3) Total No of families = 1500

Total No of families with no girl = 211

Probability of family being chosen at random having no girls = P3 = 211/1500

(4) P1 + P2 +P3

=19/60 + 407/750 + 211/1500

= 475 + 814 + 211/1500

=1500/1500

=1

Yes, the sum of there Probabilities does add up to 1